%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN820-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:40:04 AM UTC 2025
% Result : Unsatisfiable 24.86s 25.05s
% Output : Proof 26.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN820-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 12:51:20 EDT 2025
% 0.12/0.33 % CPUTime :
% 24.86/25.05 % SZS status Unsatisfiable
% 24.86/25.05 % SZS output start Proof
% 24.86/25.05 tff(ssPv18_7r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(skc27_type, type, (
% 24.86/25.05 skc27: $i)).
% 24.86/25.05 tff(skc31_type, type, (
% 24.86/25.05 skc31: $i)).
% 24.86/25.05 tff(elem_0_type, type, (
% 24.86/25.05 elem_0: $i)).
% 24.86/25.05 tff(ssPv18_8r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(skc25_type, type, (
% 24.86/25.05 skc25: $i)).
% 24.86/25.05 tff(ssPv18_9r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(skc24_type, type, (
% 24.86/25.05 skc24: $i)).
% 24.86/25.05 tff(ssPv18_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv18_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(skc23_type, type, (
% 24.86/25.05 skc23: $i)).
% 24.86/25.05 tff(ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(skc21_type, type, (
% 24.86/25.05 skc21: $i)).
% 24.86/25.05 tff(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_8r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_7r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_6r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_5r1r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_3r1r1r1_type, type, (
% 24.86/25.05 ssNder1_3r1r1r1: ( $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_2r1r1_type, type, (
% 24.86/25.05 ssNder1_2r1r1: ( $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_1r1_type, type, (
% 24.86/25.05 ssNder1_1r1: $i > $o)).
% 24.86/25.05 tff(ssNder1_0_type, type, (
% 24.86/25.05 ssNder1_0: $o)).
% 24.86/25.05 tff(ssNder1_4r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_4r1r1r1r1: ( $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_9r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_8r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_7r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_6r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_5r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(skc28_type, type, (
% 24.86/25.05 skc28: $i)).
% 24.86/25.05 tff(ssPv17_6r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv17_5r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(skc29_type, type, (
% 24.86/25.05 skc29: $i)).
% 24.86/25.05 tff(ssPv17_7r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv17_8r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv17_9r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv17_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv17_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_9r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_8r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_7r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_6r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv16_5r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv16_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv11_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv11_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv11_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv15_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv15_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv15_9r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv15_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv15_8r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv15_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv15_7r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv15_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv15_6r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv15_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv14_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv14_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv14_9r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv14_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv14_8r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv14_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv14_7r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv14_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv13_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv13_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv13_9r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv13_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv13_8r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv13_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv4_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv4_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv18_6r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv18_5r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv18_4r1r1r1r1_type, type, (
% 24.86/25.05 ssPv18_4r1r1r1r1: ( $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(skc30_type, type, (
% 24.86/25.05 skc30: $i)).
% 24.86/25.05 tff(ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv19_4r1r1r1r1_type, type, (
% 24.86/25.05 ssPv19_4r1r1r1r1: ( $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv14_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv14_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(ssPv13_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 24.86/25.05 ssPv13_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 24.86/25.05 tff(1,assumption,(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), introduced(assumption)).
% 24.86/25.05 tff(2,assumption,(~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 24.86/25.05 tff(3,assumption,(~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 24.86/25.05 tff(4,assumption,(~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 24.86/25.06 tff(5,assumption,(~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)), introduced(assumption)).
% 24.86/25.06 tff(6,assumption,(~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)), introduced(assumption)).
% 24.86/25.06 tff(7,assumption,(~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)), introduced(assumption)).
% 24.86/25.06 tff(8,assumption,(~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)), introduced(assumption)).
% 24.86/25.06 tff(9,assumption,(~ssNder1_2r1r1(elem!0, elem!0)), introduced(assumption)).
% 24.86/25.06 tff(10,plain,
% 24.86/25.06 (^[U: $i] : refl(((~ssNder1_0) | ssNder1_1r1(U)) <=> ((~ssNder1_0) | ssNder1_1r1(U)))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(11,plain,
% 24.86/25.06 (![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U)) <=> ![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[10])).
% 24.86/25.06 tff(12,plain,
% 24.86/25.06 (![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U)) <=> ![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(13,axiom,(![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 24.86/25.06 tff(14,plain,
% 24.86/25.06 (![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[13, 12])).
% 24.86/25.06 tff(15,plain,(
% 24.86/25.06 ![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))),
% 24.86/25.06 inference(skolemize,[status(sab)],[14])).
% 24.86/25.06 tff(16,plain,
% 24.86/25.06 (![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[15, 11])).
% 24.86/25.06 tff(17,plain,
% 24.86/25.06 (ssNder1_0 <=> ssNder1_0),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(18,axiom,(ssNder1_0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 24.86/25.06 tff(19,plain,
% 24.86/25.06 (ssNder1_0),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[18, 17])).
% 24.86/25.06 tff(20,plain,
% 24.86/25.06 (((~![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))) | ((~ssNder1_0) | ssNder1_1r1(elem!0))) <=> ((~![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))) | (~ssNder1_0) | ssNder1_1r1(elem!0))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(21,plain,
% 24.86/25.06 ((~![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))) | ((~ssNder1_0) | ssNder1_1r1(elem!0))),
% 24.86/25.06 inference(quant_inst,[status(thm)],[])).
% 24.86/25.06 tff(22,plain,
% 24.86/25.06 ((~![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))) | (~ssNder1_0) | ssNder1_1r1(elem!0)),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[21, 20])).
% 24.86/25.06 tff(23,plain,
% 24.86/25.06 (ssNder1_1r1(elem!0)),
% 24.86/25.06 inference(unit_resolution,[status(thm)],[22, 19, 16])).
% 24.86/25.06 tff(24,plain,
% 24.86/25.06 (^[V: $i, U: $i] : refl(((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(25,plain,
% 24.86/25.06 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[24])).
% 24.86/25.06 tff(26,plain,
% 24.86/25.06 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(27,plain,
% 24.86/25.06 (^[V: $i, U: $i] : trans(monotonicity(rewrite(((~ssNder1_1r1(U)) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)))), ((((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U))) | ssNder1_2r1r1(U, V)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U))) | ssNder1_2r1r1(U, V)) <=> ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), ((((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V)) <=> ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(28,plain,
% 24.86/25.06 (![V: $i, U: $i] : (((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V)) <=> ![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[27])).
% 24.86/25.06 tff(29,axiom,(![V: $i, U: $i] : (((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause3')).
% 24.86/25.06 tff(30,plain,
% 24.86/25.06 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[29, 28])).
% 24.86/25.06 tff(31,plain,
% 24.86/25.06 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[30, 26])).
% 24.86/25.06 tff(32,plain,(
% 24.86/25.06 ![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 24.86/25.06 inference(skolemize,[status(sab)],[31])).
% 24.86/25.06 tff(33,plain,
% 24.86/25.06 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[32, 25])).
% 24.86/25.06 tff(34,plain,
% 24.86/25.06 (((~![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0))) <=> ((~![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(35,plain,
% 24.86/25.06 (((~ssNder1_0) | ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0))) <=> ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(36,plain,
% 24.86/25.06 (((~![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ((~ssNder1_0) | ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))) <=> ((~![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0)))),
% 24.86/25.06 inference(monotonicity,[status(thm)],[35])).
% 24.86/25.06 tff(37,plain,
% 24.86/25.06 (((~![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ((~ssNder1_0) | ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))) <=> ((~![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0))),
% 24.86/25.06 inference(transitivity,[status(thm)],[36, 34])).
% 24.86/25.06 tff(38,plain,
% 24.86/25.06 ((~![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ((~ssNder1_0) | ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))),
% 24.86/25.06 inference(quant_inst,[status(thm)],[])).
% 24.86/25.06 tff(39,plain,
% 24.86/25.06 ((~![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0)),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[38, 37])).
% 24.86/25.06 tff(40,plain,
% 24.86/25.06 ($false),
% 24.86/25.06 inference(unit_resolution,[status(thm)],[39, 19, 33, 23, 9])).
% 24.86/25.06 tff(41,plain,(ssNder1_2r1r1(elem!0, elem!0)), inference(lemma,lemma(discharge,[]))).
% 24.86/25.06 tff(42,plain,
% 24.86/25.06 (^[W: $i, V: $i, U: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(43,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[42])).
% 24.86/25.06 tff(44,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(45,plain,
% 24.86/25.06 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)))), ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)))), ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))))), (((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | ssNder1_3r1r1r1(U, V, W)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | ssNder1_3r1r1r1(U, V, W)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), (((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(46,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i] : ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W)) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[45])).
% 24.86/25.06 tff(47,axiom,(![W: $i, V: $i, U: $i] : ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause9')).
% 24.86/25.06 tff(48,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[47, 46])).
% 24.86/25.06 tff(49,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[48, 44])).
% 24.86/25.06 tff(50,plain,(
% 24.86/25.06 ![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 24.86/25.06 inference(skolemize,[status(sab)],[49])).
% 24.86/25.06 tff(51,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[50, 43])).
% 24.86/25.06 tff(52,plain,
% 24.86/25.06 (((~![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | (~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(53,plain,
% 24.86/25.06 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0))) <=> ((~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(54,plain,
% 24.86/25.06 (((~![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0))))),
% 24.86/25.06 inference(monotonicity,[status(thm)],[53])).
% 24.86/25.06 tff(55,plain,
% 24.86/25.06 (((~![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | (~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)))),
% 24.86/25.06 inference(transitivity,[status(thm)],[54, 52])).
% 24.86/25.06 tff(56,plain,
% 24.86/25.06 ((~![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))),
% 24.86/25.06 inference(quant_inst,[status(thm)],[])).
% 24.86/25.06 tff(57,plain,
% 24.86/25.06 ((~![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | (~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[56, 55])).
% 24.86/25.06 tff(58,plain,
% 24.86/25.06 ($false),
% 24.86/25.06 inference(unit_resolution,[status(thm)],[57, 19, 51, 23, 41, 8])).
% 24.86/25.06 tff(59,plain,(ssNder1_3r1r1r1(elem!0, elem!0, elem!0)), inference(lemma,lemma(discharge,[]))).
% 24.86/25.06 tff(60,plain,
% 24.86/25.06 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(61,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[60])).
% 24.86/25.06 tff(62,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(63,plain,
% 24.86/25.06 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), ((((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | ssNder1_4r1r1r1r1(U, V, W, X)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(64,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i, X: $i] : (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[63])).
% 24.86/25.06 tff(65,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause16')).
% 24.86/25.06 tff(66,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[65, 64])).
% 24.86/25.06 tff(67,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[66, 62])).
% 24.86/25.06 tff(68,plain,(
% 24.86/25.06 ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 24.86/25.06 inference(skolemize,[status(sab)],[67])).
% 24.86/25.06 tff(69,plain,
% 24.86/25.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[68, 61])).
% 24.86/25.06 tff(70,plain,
% 24.86/25.06 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(71,plain,
% 24.86/25.06 (((~ssNder1_0) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))) <=> ((~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(72,plain,
% 24.86/25.06 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_0) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0))))),
% 24.86/25.06 inference(monotonicity,[status(thm)],[71])).
% 24.86/25.06 tff(73,plain,
% 24.86/25.06 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_0) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))),
% 24.86/25.06 inference(transitivity,[status(thm)],[72, 70])).
% 24.86/25.06 tff(74,plain,
% 24.86/25.06 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_0) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))),
% 24.86/25.06 inference(quant_inst,[status(thm)],[])).
% 24.86/25.06 tff(75,plain,
% 24.86/25.06 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_0) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[74, 73])).
% 24.86/25.06 tff(76,plain,
% 24.86/25.06 ((~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))),
% 24.86/25.06 inference(unit_resolution,[status(thm)],[75, 19, 69, 23])).
% 24.86/25.06 tff(77,plain,
% 24.86/25.06 (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)),
% 24.86/25.06 inference(unit_resolution,[status(thm)],[76, 59, 41])).
% 24.86/25.06 tff(78,plain,
% 24.86/25.06 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(79,plain,
% 24.86/25.06 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[78])).
% 24.86/25.06 tff(80,plain,
% 24.86/25.06 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(81,plain,
% 24.86/25.06 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(82,plain,
% 24.86/25.06 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[81])).
% 24.86/25.06 tff(83,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause29')).
% 24.86/25.06 tff(84,plain,
% 24.86/25.06 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[83, 82])).
% 24.86/25.06 tff(85,plain,
% 24.86/25.06 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[84, 80])).
% 24.86/25.06 tff(86,plain,(
% 24.86/25.06 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 24.86/25.06 inference(skolemize,[status(sab)],[85])).
% 24.86/25.06 tff(87,plain,
% 24.86/25.06 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[86, 79])).
% 24.86/25.06 tff(88,plain,
% 24.86/25.06 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(89,plain,
% 24.86/25.06 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(90,plain,
% 24.86/25.06 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 24.86/25.06 inference(monotonicity,[status(thm)],[89])).
% 24.86/25.06 tff(91,plain,
% 24.86/25.06 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 24.86/25.06 inference(transitivity,[status(thm)],[90, 88])).
% 24.86/25.06 tff(92,plain,
% 24.86/25.06 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 24.86/25.06 inference(quant_inst,[status(thm)],[])).
% 24.86/25.06 tff(93,plain,
% 24.86/25.06 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[92, 91])).
% 24.86/25.06 tff(94,plain,
% 24.86/25.06 ($false),
% 24.86/25.06 inference(unit_resolution,[status(thm)],[93, 19, 87, 23, 41, 77, 59, 7])).
% 24.86/25.06 tff(95,plain,(ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)), inference(lemma,lemma(discharge,[]))).
% 24.86/25.06 tff(96,plain,
% 24.86/25.06 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(97,plain,
% 24.86/25.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[96])).
% 24.86/25.06 tff(98,plain,
% 24.86/25.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 24.86/25.06 inference(rewrite,[status(thm)],[])).
% 24.86/25.06 tff(99,plain,
% 24.86/25.06 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))))),
% 24.86/25.06 inference(bind,[status(th)],[])).
% 24.86/25.06 tff(100,plain,
% 24.86/25.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 24.86/25.06 inference(quant_intro,[status(thm)],[99])).
% 24.86/25.06 tff(101,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause46')).
% 24.86/25.06 tff(102,plain,
% 24.86/25.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[101, 100])).
% 24.86/25.06 tff(103,plain,
% 24.86/25.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 24.86/25.06 inference(modus_ponens,[status(thm)],[102, 98])).
% 24.86/25.06 tff(104,plain,(
% 24.86/25.06 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 24.86/25.07 inference(skolemize,[status(sab)],[103])).
% 24.86/25.07 tff(105,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 24.86/25.07 inference(modus_ponens,[status(thm)],[104, 97])).
% 24.86/25.07 tff(106,plain,
% 24.86/25.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 24.86/25.07 inference(rewrite,[status(thm)],[])).
% 24.86/25.07 tff(107,plain,
% 24.86/25.07 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 24.86/25.07 inference(rewrite,[status(thm)],[])).
% 24.86/25.07 tff(108,plain,
% 24.86/25.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 24.86/25.07 inference(monotonicity,[status(thm)],[107])).
% 24.86/25.07 tff(109,plain,
% 24.86/25.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 24.86/25.07 inference(transitivity,[status(thm)],[108, 106])).
% 24.86/25.07 tff(110,plain,
% 24.86/25.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 24.86/25.07 inference(quant_inst,[status(thm)],[])).
% 24.86/25.07 tff(111,plain,
% 24.86/25.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)),
% 24.86/25.07 inference(modus_ponens,[status(thm)],[110, 109])).
% 24.86/25.07 tff(112,plain,
% 24.86/25.07 ((~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)),
% 24.86/25.07 inference(unit_resolution,[status(thm)],[111, 19, 105, 23, 41, 77, 59])).
% 24.86/25.07 tff(113,plain,
% 24.86/25.07 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)),
% 24.86/25.07 inference(unit_resolution,[status(thm)],[112, 95])).
% 24.86/25.07 tff(114,plain,
% 24.86/25.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 24.86/25.07 inference(bind,[status(th)],[])).
% 24.86/25.07 tff(115,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 24.86/25.07 inference(quant_intro,[status(thm)],[114])).
% 24.86/25.07 tff(116,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 24.86/25.07 inference(rewrite,[status(thm)],[])).
% 24.86/25.07 tff(117,plain,
% 24.86/25.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 24.86/25.07 inference(bind,[status(th)],[])).
% 24.86/25.07 tff(118,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 24.86/25.07 inference(quant_intro,[status(thm)],[117])).
% 24.86/25.07 tff(119,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause65')).
% 24.86/25.07 tff(120,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 24.86/25.07 inference(modus_ponens,[status(thm)],[119, 118])).
% 24.86/25.07 tff(121,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 24.86/25.07 inference(modus_ponens,[status(thm)],[120, 116])).
% 24.86/25.07 tff(122,plain,(
% 24.86/25.07 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 24.86/25.07 inference(skolemize,[status(sab)],[121])).
% 24.86/25.07 tff(123,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 24.86/25.07 inference(modus_ponens,[status(thm)],[122, 115])).
% 24.86/25.07 tff(124,plain,
% 24.86/25.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27))),
% 24.86/25.07 inference(rewrite,[status(thm)],[])).
% 24.86/25.07 tff(125,plain,
% 24.86/25.07 (((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27))),
% 24.86/25.07 inference(rewrite,[status(thm)],[])).
% 24.86/25.07 tff(126,plain,
% 24.86/25.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))),
% 24.86/25.07 inference(monotonicity,[status(thm)],[125])).
% 24.86/25.07 tff(127,plain,
% 24.86/25.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27))),
% 24.86/25.07 inference(transitivity,[status(thm)],[126, 124])).
% 24.86/25.07 tff(128,plain,
% 24.86/25.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 24.86/25.07 inference(quant_inst,[status(thm)],[])).
% 24.86/25.07 tff(129,plain,
% 24.86/25.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)),
% 24.86/25.07 inference(modus_ponens,[status(thm)],[128, 127])).
% 24.86/25.07 tff(130,plain,
% 24.86/25.07 (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)),
% 24.86/25.07 inference(unit_resolution,[status(thm)],[129, 19, 123, 23, 41, 77, 59, 95, 113])).
% 24.86/25.07 tff(131,plain,
% 24.86/25.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 24.86/25.07 inference(bind,[status(th)],[])).
% 24.86/25.07 tff(132,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 24.86/25.07 inference(quant_intro,[status(thm)],[131])).
% 24.86/25.07 tff(133,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 24.86/25.07 inference(rewrite,[status(thm)],[])).
% 24.86/25.07 tff(134,plain,
% 24.86/25.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 24.86/25.07 inference(bind,[status(th)],[])).
% 24.86/25.07 tff(135,plain,
% 24.86/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 24.92/25.07 inference(quant_intro,[status(thm)],[134])).
% 24.92/25.07 tff(136,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause88')).
% 24.92/25.07 tff(137,plain,
% 24.92/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 24.92/25.07 inference(modus_ponens,[status(thm)],[136, 135])).
% 24.92/25.07 tff(138,plain,
% 24.92/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 24.92/25.07 inference(modus_ponens,[status(thm)],[137, 133])).
% 24.92/25.07 tff(139,plain,(
% 24.92/25.07 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 24.92/25.07 inference(skolemize,[status(sab)],[138])).
% 24.92/25.07 tff(140,plain,
% 24.92/25.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 24.92/25.08 inference(modus_ponens,[status(thm)],[139, 132])).
% 24.92/25.08 tff(141,plain,
% 24.92/25.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))),
% 24.92/25.08 inference(rewrite,[status(thm)],[])).
% 24.92/25.08 tff(142,plain,
% 24.92/25.08 (((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))),
% 24.92/25.08 inference(rewrite,[status(thm)],[])).
% 24.92/25.08 tff(143,plain,
% 24.92/25.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 24.92/25.08 inference(monotonicity,[status(thm)],[142])).
% 24.92/25.08 tff(144,plain,
% 24.92/25.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))),
% 24.92/25.08 inference(transitivity,[status(thm)],[143, 141])).
% 24.92/25.08 tff(145,plain,
% 24.92/25.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))),
% 24.92/25.08 inference(quant_inst,[status(thm)],[])).
% 24.92/25.08 tff(146,plain,
% 24.92/25.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)),
% 24.92/25.08 inference(modus_ponens,[status(thm)],[145, 144])).
% 24.92/25.08 tff(147,plain,
% 24.92/25.08 ($false),
% 24.92/25.08 inference(unit_resolution,[status(thm)],[146, 19, 140, 23, 41, 77, 59, 95, 113, 130, 6])).
% 24.92/25.08 tff(148,plain,(ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.08 tff(149,plain,
% 24.92/25.08 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 24.92/25.08 inference(bind,[status(th)],[])).
% 24.92/25.08 tff(150,plain,
% 24.92/25.08 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 24.92/25.08 inference(quant_intro,[status(thm)],[149])).
% 24.92/25.08 tff(151,plain,
% 24.92/25.08 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 24.92/25.08 inference(rewrite,[status(thm)],[])).
% 24.92/25.08 tff(152,plain,
% 24.92/25.08 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 24.92/25.08 inference(bind,[status(th)],[])).
% 24.92/25.08 tff(153,plain,
% 24.92/25.08 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 24.92/25.08 inference(quant_intro,[status(thm)],[152])).
% 24.92/25.08 tff(154,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause111')).
% 24.92/25.08 tff(155,plain,
% 24.92/25.08 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 24.92/25.08 inference(modus_ponens,[status(thm)],[154, 153])).
% 24.92/25.08 tff(156,plain,
% 24.92/25.08 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 24.92/25.08 inference(modus_ponens,[status(thm)],[155, 151])).
% 24.92/25.08 tff(157,plain,(
% 24.92/25.08 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 24.92/25.08 inference(skolemize,[status(sab)],[156])).
% 24.92/25.08 tff(158,plain,
% 24.92/25.08 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 24.92/25.08 inference(modus_ponens,[status(thm)],[157, 150])).
% 24.92/25.08 tff(159,plain,
% 24.92/25.08 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))),
% 24.92/25.08 inference(rewrite,[status(thm)],[])).
% 24.92/25.08 tff(160,plain,
% 24.92/25.08 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))),
% 24.92/25.08 inference(rewrite,[status(thm)],[])).
% 24.92/25.08 tff(161,plain,
% 24.92/25.08 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))),
% 24.92/25.08 inference(monotonicity,[status(thm)],[160])).
% 24.92/25.08 tff(162,plain,
% 24.92/25.08 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))),
% 24.92/25.08 inference(transitivity,[status(thm)],[161, 159])).
% 24.92/25.08 tff(163,plain,
% 24.92/25.08 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 24.92/25.08 inference(quant_inst,[status(thm)],[])).
% 24.92/25.08 tff(164,plain,
% 24.92/25.08 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)),
% 24.92/25.08 inference(modus_ponens,[status(thm)],[163, 162])).
% 24.92/25.08 tff(165,plain,
% 24.92/25.08 ($false),
% 24.92/25.08 inference(unit_resolution,[status(thm)],[164, 19, 158, 23, 41, 77, 59, 95, 113, 130, 148, 5])).
% 24.92/25.08 tff(166,plain,(ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.08 tff(167,plain,
% 24.92/25.08 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 24.92/25.08 inference(bind,[status(th)],[])).
% 24.92/25.08 tff(168,plain,
% 24.92/25.08 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 24.92/25.09 inference(quant_intro,[status(thm)],[167])).
% 24.92/25.09 tff(169,plain,
% 24.92/25.09 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 24.92/25.09 inference(rewrite,[status(thm)],[])).
% 24.92/25.09 tff(170,plain,
% 24.92/25.09 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 24.92/25.09 inference(bind,[status(th)],[])).
% 24.92/25.09 tff(171,plain,
% 24.92/25.09 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 24.92/25.09 inference(quant_intro,[status(thm)],[170])).
% 24.92/25.09 tff(172,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause136')).
% 24.92/25.09 tff(173,plain,
% 24.92/25.09 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 24.92/25.09 inference(modus_ponens,[status(thm)],[172, 171])).
% 24.92/25.09 tff(174,plain,
% 24.92/25.09 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 24.92/25.09 inference(modus_ponens,[status(thm)],[173, 169])).
% 24.92/25.09 tff(175,plain,(
% 24.92/25.09 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 24.92/25.09 inference(skolemize,[status(sab)],[174])).
% 24.92/25.09 tff(176,plain,
% 24.92/25.09 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 24.92/25.09 inference(modus_ponens,[status(thm)],[175, 168])).
% 24.92/25.09 tff(177,plain,
% 24.92/25.09 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 24.92/25.09 inference(rewrite,[status(thm)],[])).
% 24.92/25.09 tff(178,plain,
% 24.92/25.09 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 24.92/25.09 inference(rewrite,[status(thm)],[])).
% 24.92/25.09 tff(179,plain,
% 24.92/25.09 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))),
% 24.92/25.09 inference(monotonicity,[status(thm)],[178])).
% 24.92/25.09 tff(180,plain,
% 24.92/25.09 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 24.92/25.09 inference(transitivity,[status(thm)],[179, 177])).
% 24.92/25.09 tff(181,plain,
% 24.92/25.09 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))),
% 24.92/25.09 inference(quant_inst,[status(thm)],[])).
% 24.92/25.09 tff(182,plain,
% 24.92/25.09 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)),
% 24.92/25.09 inference(modus_ponens,[status(thm)],[181, 180])).
% 24.92/25.09 tff(183,plain,
% 24.92/25.09 ($false),
% 24.92/25.09 inference(unit_resolution,[status(thm)],[182, 19, 176, 23, 41, 77, 59, 95, 113, 130, 148, 166, 4])).
% 24.92/25.09 tff(184,plain,(ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.09 tff(185,plain,
% 24.92/25.09 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 24.92/25.09 inference(bind,[status(th)],[])).
% 24.92/25.09 tff(186,plain,
% 24.92/25.09 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 24.92/25.09 inference(quant_intro,[status(thm)],[185])).
% 24.92/25.09 tff(187,plain,
% 24.92/25.09 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 24.92/25.09 inference(rewrite,[status(thm)],[])).
% 24.92/25.09 tff(188,plain,
% 24.92/25.09 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 24.92/25.10 inference(bind,[status(th)],[])).
% 24.92/25.10 tff(189,plain,
% 24.92/25.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 24.92/25.10 inference(quant_intro,[status(thm)],[188])).
% 24.92/25.10 tff(190,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause161')).
% 24.92/25.10 tff(191,plain,
% 24.92/25.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 24.92/25.10 inference(modus_ponens,[status(thm)],[190, 189])).
% 24.92/25.10 tff(192,plain,
% 24.92/25.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 24.92/25.10 inference(modus_ponens,[status(thm)],[191, 187])).
% 24.92/25.10 tff(193,plain,(
% 24.92/25.10 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 24.92/25.10 inference(skolemize,[status(sab)],[192])).
% 24.92/25.10 tff(194,plain,
% 24.92/25.10 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 24.92/25.10 inference(modus_ponens,[status(thm)],[193, 186])).
% 24.92/25.10 tff(195,plain,
% 24.92/25.10 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))),
% 24.92/25.10 inference(rewrite,[status(thm)],[])).
% 24.92/25.10 tff(196,plain,
% 24.92/25.10 (((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))),
% 24.92/25.10 inference(rewrite,[status(thm)],[])).
% 24.92/25.10 tff(197,plain,
% 24.92/25.10 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))),
% 24.92/25.10 inference(monotonicity,[status(thm)],[196])).
% 24.92/25.10 tff(198,plain,
% 24.92/25.10 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))),
% 24.92/25.10 inference(transitivity,[status(thm)],[197, 195])).
% 24.92/25.10 tff(199,plain,
% 24.92/25.10 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))),
% 24.92/25.10 inference(quant_inst,[status(thm)],[])).
% 24.92/25.10 tff(200,plain,
% 24.92/25.10 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)),
% 24.92/25.10 inference(modus_ponens,[status(thm)],[199, 198])).
% 24.92/25.10 tff(201,plain,
% 24.92/25.10 ($false),
% 24.92/25.10 inference(unit_resolution,[status(thm)],[200, 19, 194, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 3])).
% 24.92/25.10 tff(202,plain,(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.10 tff(203,plain,
% 24.92/25.10 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 24.92/25.10 inference(bind,[status(th)],[])).
% 24.92/25.10 tff(204,plain,
% 24.92/25.10 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 24.92/25.10 inference(quant_intro,[status(thm)],[203])).
% 24.92/25.10 tff(205,plain,
% 24.92/25.10 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 24.92/25.10 inference(rewrite,[status(thm)],[])).
% 24.92/25.10 tff(206,plain,
% 24.92/25.10 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 24.92/25.11 inference(bind,[status(th)],[])).
% 24.92/25.11 tff(207,plain,
% 24.92/25.11 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 24.92/25.11 inference(quant_intro,[status(thm)],[206])).
% 24.92/25.11 tff(208,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause185')).
% 24.92/25.11 tff(209,plain,
% 24.92/25.11 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 24.92/25.11 inference(modus_ponens,[status(thm)],[208, 207])).
% 24.92/25.11 tff(210,plain,
% 24.92/25.11 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 24.92/25.11 inference(modus_ponens,[status(thm)],[209, 205])).
% 24.92/25.11 tff(211,plain,(
% 24.92/25.11 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 24.92/25.11 inference(skolemize,[status(sab)],[210])).
% 24.92/25.11 tff(212,plain,
% 24.92/25.11 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 24.92/25.11 inference(modus_ponens,[status(thm)],[211, 204])).
% 24.92/25.11 tff(213,plain,
% 24.92/25.11 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24))),
% 24.92/25.11 inference(rewrite,[status(thm)],[])).
% 24.92/25.11 tff(214,plain,
% 24.92/25.11 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24))),
% 24.92/25.11 inference(rewrite,[status(thm)],[])).
% 24.92/25.11 tff(215,plain,
% 24.92/25.11 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 24.92/25.11 inference(monotonicity,[status(thm)],[214])).
% 24.92/25.11 tff(216,plain,
% 24.92/25.11 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24))),
% 24.92/25.11 inference(transitivity,[status(thm)],[215, 213])).
% 24.92/25.11 tff(217,plain,
% 24.92/25.11 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))),
% 24.92/25.11 inference(quant_inst,[status(thm)],[])).
% 24.92/25.11 tff(218,plain,
% 24.92/25.11 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)),
% 24.92/25.11 inference(modus_ponens,[status(thm)],[217, 216])).
% 24.92/25.11 tff(219,plain,
% 24.92/25.11 ($false),
% 24.92/25.11 inference(unit_resolution,[status(thm)],[218, 19, 212, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 2])).
% 24.92/25.11 tff(220,plain,(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.11 tff(221,plain,
% 24.92/25.11 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))),
% 24.92/25.11 inference(bind,[status(th)],[])).
% 24.92/25.11 tff(222,plain,
% 24.92/25.11 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 24.92/25.11 inference(quant_intro,[status(thm)],[221])).
% 24.92/25.11 tff(223,plain,
% 24.92/25.11 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 24.92/25.11 inference(rewrite,[status(thm)],[])).
% 24.92/25.11 tff(224,plain,
% 24.92/25.11 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))))),
% 24.92/25.12 inference(bind,[status(th)],[])).
% 24.92/25.12 tff(225,plain,
% 24.92/25.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 24.92/25.12 inference(quant_intro,[status(thm)],[224])).
% 24.92/25.12 tff(226,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause218')).
% 24.92/25.12 tff(227,plain,
% 24.92/25.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 24.92/25.12 inference(modus_ponens,[status(thm)],[226, 225])).
% 24.92/25.12 tff(228,plain,
% 24.92/25.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 24.92/25.12 inference(modus_ponens,[status(thm)],[227, 223])).
% 24.92/25.12 tff(229,plain,(
% 24.92/25.12 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 24.92/25.12 inference(skolemize,[status(sab)],[228])).
% 24.92/25.12 tff(230,plain,
% 24.92/25.12 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 24.92/25.12 inference(modus_ponens,[status(thm)],[229, 222])).
% 24.92/25.12 tff(231,plain,
% 24.92/25.12 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 24.92/25.12 inference(rewrite,[status(thm)],[])).
% 24.92/25.12 tff(232,plain,
% 24.92/25.12 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 24.92/25.12 inference(quant_inst,[status(thm)],[])).
% 24.92/25.12 tff(233,plain,
% 24.92/25.12 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 24.92/25.12 inference(modus_ponens,[status(thm)],[232, 231])).
% 24.92/25.12 tff(234,plain,
% 24.92/25.12 ($false),
% 24.92/25.12 inference(unit_resolution,[status(thm)],[233, 19, 230, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 220, 1])).
% 24.92/25.12 tff(235,plain,(~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.12 tff(236,assumption,(ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 24.92/25.12 tff(237,assumption,(ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 24.92/25.12 tff(238,assumption,(ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)), introduced(assumption)).
% 24.92/25.12 tff(239,assumption,(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)), introduced(assumption)).
% 24.92/25.12 tff(240,assumption,(~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 24.92/25.12 tff(241,assumption,(~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 24.92/25.12 tff(242,assumption,(~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 24.92/25.12 tff(243,assumption,(~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 24.92/25.12 tff(244,assumption,(~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), introduced(assumption)).
% 24.92/25.12 tff(245,assumption,(~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), introduced(assumption)).
% 24.92/25.12 tff(246,plain,
% 24.92/25.12 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 24.92/25.12 inference(rewrite,[status(thm)],[])).
% 24.92/25.12 tff(247,plain,
% 24.92/25.12 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 24.92/25.12 inference(rewrite,[status(thm)],[])).
% 24.92/25.12 tff(248,plain,
% 24.92/25.12 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 24.92/25.12 inference(monotonicity,[status(thm)],[247])).
% 24.92/25.12 tff(249,plain,
% 24.92/25.12 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 24.92/25.12 inference(transitivity,[status(thm)],[248, 246])).
% 24.92/25.12 tff(250,plain,
% 24.92/25.12 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 24.92/25.12 inference(quant_inst,[status(thm)],[])).
% 24.92/25.12 tff(251,plain,
% 24.92/25.12 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)),
% 24.92/25.13 inference(modus_ponens,[status(thm)],[250, 249])).
% 24.92/25.13 tff(252,plain,
% 24.92/25.13 ($false),
% 24.92/25.13 inference(unit_resolution,[status(thm)],[251, 19, 105, 23, 41, 77, 59, 95, 245])).
% 24.92/25.13 tff(253,plain,(ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.13 tff(254,plain,
% 24.92/25.13 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 24.92/25.13 inference(rewrite,[status(thm)],[])).
% 24.92/25.13 tff(255,plain,
% 24.92/25.13 (((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 24.92/25.13 inference(rewrite,[status(thm)],[])).
% 24.92/25.13 tff(256,plain,
% 24.92/25.13 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 24.92/25.13 inference(monotonicity,[status(thm)],[255])).
% 24.92/25.13 tff(257,plain,
% 24.92/25.13 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 24.92/25.13 inference(transitivity,[status(thm)],[256, 254])).
% 24.92/25.13 tff(258,plain,
% 24.92/25.13 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 24.92/25.13 inference(quant_inst,[status(thm)],[])).
% 24.92/25.13 tff(259,plain,
% 24.92/25.13 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 24.92/25.13 inference(modus_ponens,[status(thm)],[258, 257])).
% 24.92/25.13 tff(260,plain,
% 24.92/25.13 ($false),
% 24.92/25.13 inference(unit_resolution,[status(thm)],[259, 19, 123, 23, 41, 77, 59, 95, 253, 244])).
% 24.92/25.13 tff(261,plain,(ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.13 tff(262,plain,
% 24.92/25.13 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 24.92/25.13 inference(rewrite,[status(thm)],[])).
% 24.92/25.13 tff(263,plain,
% 24.92/25.13 (((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 24.92/25.13 inference(rewrite,[status(thm)],[])).
% 24.92/25.13 tff(264,plain,
% 24.92/25.13 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 24.92/25.13 inference(monotonicity,[status(thm)],[263])).
% 24.92/25.13 tff(265,plain,
% 24.92/25.13 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 24.92/25.13 inference(transitivity,[status(thm)],[264, 262])).
% 24.92/25.13 tff(266,plain,
% 24.92/25.13 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 24.92/25.13 inference(quant_inst,[status(thm)],[])).
% 24.92/25.13 tff(267,plain,
% 24.92/25.13 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 24.92/25.13 inference(modus_ponens,[status(thm)],[266, 265])).
% 24.92/25.13 tff(268,plain,
% 24.92/25.13 ($false),
% 24.92/25.13 inference(unit_resolution,[status(thm)],[267, 19, 140, 23, 41, 77, 59, 95, 253, 261, 243])).
% 24.92/25.13 tff(269,plain,(ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.13 tff(270,plain,
% 24.92/25.13 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 24.92/25.13 inference(rewrite,[status(thm)],[])).
% 24.92/25.13 tff(271,plain,
% 24.92/25.13 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 24.92/25.13 inference(rewrite,[status(thm)],[])).
% 24.92/25.13 tff(272,plain,
% 24.92/25.13 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 24.92/25.13 inference(monotonicity,[status(thm)],[271])).
% 24.92/25.13 tff(273,plain,
% 24.92/25.13 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 24.92/25.13 inference(transitivity,[status(thm)],[272, 270])).
% 24.92/25.13 tff(274,plain,
% 24.92/25.13 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 24.92/25.14 inference(quant_inst,[status(thm)],[])).
% 24.92/25.14 tff(275,plain,
% 24.92/25.14 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 24.92/25.14 inference(modus_ponens,[status(thm)],[274, 273])).
% 24.92/25.14 tff(276,plain,
% 24.92/25.14 ($false),
% 24.92/25.14 inference(unit_resolution,[status(thm)],[275, 19, 158, 23, 41, 77, 59, 95, 253, 261, 269, 242])).
% 24.92/25.14 tff(277,plain,(ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.14 tff(278,assumption,(~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 24.92/25.14 tff(279,plain,
% 24.92/25.14 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 24.92/25.14 inference(rewrite,[status(thm)],[])).
% 24.92/25.14 tff(280,plain,
% 24.92/25.14 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 24.92/25.14 inference(rewrite,[status(thm)],[])).
% 24.92/25.14 tff(281,plain,
% 24.92/25.14 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))))),
% 24.92/25.14 inference(monotonicity,[status(thm)],[280])).
% 24.92/25.14 tff(282,plain,
% 24.92/25.14 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 24.92/25.14 inference(transitivity,[status(thm)],[281, 279])).
% 24.92/25.14 tff(283,plain,
% 24.92/25.14 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 24.92/25.14 inference(quant_inst,[status(thm)],[])).
% 24.92/25.14 tff(284,plain,
% 24.92/25.14 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 24.92/25.14 inference(modus_ponens,[status(thm)],[283, 282])).
% 24.92/25.14 tff(285,plain,
% 24.92/25.14 ($false),
% 24.92/25.14 inference(unit_resolution,[status(thm)],[284, 19, 176, 23, 41, 77, 59, 95, 253, 261, 269, 278, 277])).
% 24.92/25.14 tff(286,plain,(ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.14 tff(287,plain,
% 24.92/25.14 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 24.92/25.14 inference(rewrite,[status(thm)],[])).
% 24.92/25.14 tff(288,plain,
% 24.92/25.14 (((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 24.92/25.14 inference(rewrite,[status(thm)],[])).
% 24.92/25.14 tff(289,plain,
% 24.92/25.14 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 24.92/25.15 inference(monotonicity,[status(thm)],[288])).
% 24.92/25.15 tff(290,plain,
% 24.92/25.15 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 24.92/25.15 inference(transitivity,[status(thm)],[289, 287])).
% 24.92/25.15 tff(291,plain,
% 24.92/25.15 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 24.92/25.15 inference(quant_inst,[status(thm)],[])).
% 24.92/25.15 tff(292,plain,
% 24.92/25.15 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)),
% 24.92/25.15 inference(modus_ponens,[status(thm)],[291, 290])).
% 24.92/25.15 tff(293,plain,
% 24.92/25.15 ($false),
% 24.92/25.15 inference(unit_resolution,[status(thm)],[292, 19, 194, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 241])).
% 24.92/25.15 tff(294,plain,(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.15 tff(295,plain,
% 24.92/25.15 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 24.92/25.15 inference(rewrite,[status(thm)],[])).
% 24.92/25.15 tff(296,plain,
% 24.92/25.15 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 24.92/25.15 inference(rewrite,[status(thm)],[])).
% 24.92/25.15 tff(297,plain,
% 24.92/25.15 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 24.92/25.15 inference(monotonicity,[status(thm)],[296])).
% 24.92/25.15 tff(298,plain,
% 24.92/25.15 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 24.92/25.15 inference(transitivity,[status(thm)],[297, 295])).
% 24.92/25.15 tff(299,plain,
% 24.92/25.15 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 24.92/25.15 inference(quant_inst,[status(thm)],[])).
% 24.92/25.15 tff(300,plain,
% 24.92/25.15 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 24.92/25.15 inference(modus_ponens,[status(thm)],[299, 298])).
% 24.92/25.15 tff(301,plain,
% 24.92/25.15 ($false),
% 24.92/25.15 inference(unit_resolution,[status(thm)],[300, 19, 212, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 240])).
% 24.92/25.15 tff(302,plain,(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 24.92/25.15 tff(303,plain,
% 24.92/25.15 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 24.92/25.16 inference(rewrite,[status(thm)],[])).
% 24.92/25.16 tff(304,plain,
% 24.92/25.16 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 25.00/25.16 inference(quant_inst,[status(thm)],[])).
% 25.00/25.16 tff(305,plain,
% 25.00/25.16 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))),
% 25.00/25.16 inference(modus_ponens,[status(thm)],[304, 303])).
% 25.00/25.16 tff(306,plain,
% 25.00/25.16 ($false),
% 25.00/25.16 inference(unit_resolution,[status(thm)],[305, 19, 230, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 302, 239])).
% 25.00/25.16 tff(307,plain,(~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)), inference(lemma,lemma(discharge,[]))).
% 25.00/25.16 tff(308,assumption,(ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)), introduced(assumption)).
% 25.00/25.16 tff(309,assumption,(ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.00/25.16 tff(310,assumption,(ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), introduced(assumption)).
% 25.00/25.16 tff(311,plain,
% 25.00/25.16 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))))),
% 25.00/25.16 inference(bind,[status(th)],[])).
% 25.00/25.16 tff(312,plain,
% 25.00/25.16 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 25.00/25.16 inference(quant_intro,[status(thm)],[311])).
% 25.00/25.16 tff(313,plain,
% 25.00/25.16 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 25.00/25.16 inference(rewrite,[status(thm)],[])).
% 25.00/25.16 tff(314,plain,
% 25.00/25.16 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))), ((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))), ((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))))), (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))), (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))))), ((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))), ((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))))),
% 25.00/25.16 inference(bind,[status(th)],[])).
% 25.00/25.16 tff(315,plain,
% 25.00/25.16 (![W: $i, V: $i, U: $i, X: $i] : (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 25.00/25.16 inference(quant_intro,[status(thm)],[314])).
% 25.00/25.16 tff(316,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause21')).
% 25.00/25.16 tff(317,plain,
% 25.00/25.16 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 25.00/25.16 inference(modus_ponens,[status(thm)],[316, 315])).
% 25.00/25.16 tff(318,plain,
% 25.00/25.16 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 25.00/25.16 inference(modus_ponens,[status(thm)],[317, 313])).
% 25.00/25.16 tff(319,plain,(
% 25.00/25.16 ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 25.00/25.16 inference(skolemize,[status(sab)],[318])).
% 25.00/25.16 tff(320,plain,
% 25.00/25.16 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 25.00/25.16 inference(modus_ponens,[status(thm)],[319, 312])).
% 25.00/25.16 tff(321,plain,
% 25.00/25.16 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 25.00/25.16 inference(rewrite,[status(thm)],[])).
% 25.00/25.16 tff(322,plain,
% 25.00/25.16 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 25.00/25.16 inference(quant_inst,[status(thm)],[])).
% 25.00/25.16 tff(323,plain,
% 25.00/25.16 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 25.00/25.16 inference(modus_ponens,[status(thm)],[322, 321])).
% 25.00/25.16 tff(324,plain,
% 25.00/25.16 ((~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 25.00/25.16 inference(unit_resolution,[status(thm)],[323, 19, 320, 23])).
% 25.00/25.16 tff(325,plain,
% 25.00/25.16 (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 25.00/25.16 inference(unit_resolution,[status(thm)],[324, 59, 41])).
% 25.00/25.16 tff(326,plain,
% 25.00/25.16 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 25.00/25.16 inference(bind,[status(th)],[])).
% 25.00/25.16 tff(327,plain,
% 25.00/25.16 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.00/25.16 inference(quant_intro,[status(thm)],[326])).
% 25.00/25.16 tff(328,plain,
% 25.00/25.16 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.00/25.16 inference(rewrite,[status(thm)],[])).
% 25.00/25.16 tff(329,plain,
% 25.00/25.16 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 25.00/25.16 inference(bind,[status(th)],[])).
% 25.00/25.16 tff(330,plain,
% 25.00/25.16 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.00/25.16 inference(quant_intro,[status(thm)],[329])).
% 25.00/25.16 tff(331,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause59')).
% 25.00/25.16 tff(332,plain,
% 25.00/25.16 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.00/25.16 inference(modus_ponens,[status(thm)],[331, 330])).
% 25.00/25.16 tff(333,plain,
% 25.00/25.16 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.00/25.16 inference(modus_ponens,[status(thm)],[332, 328])).
% 25.00/25.16 tff(334,plain,(
% 25.00/25.16 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.00/25.16 inference(skolemize,[status(sab)],[333])).
% 25.00/25.16 tff(335,plain,
% 25.00/25.16 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.00/25.16 inference(modus_ponens,[status(thm)],[334, 327])).
% 25.00/25.16 tff(336,plain,
% 25.00/25.16 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 25.00/25.16 inference(rewrite,[status(thm)],[])).
% 25.00/25.16 tff(337,plain,
% 25.00/25.16 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 25.00/25.16 inference(rewrite,[status(thm)],[])).
% 25.00/25.16 tff(338,plain,
% 25.00/25.16 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))))),
% 25.00/25.16 inference(monotonicity,[status(thm)],[337])).
% 25.00/25.16 tff(339,plain,
% 25.00/25.16 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 25.00/25.16 inference(transitivity,[status(thm)],[338, 336])).
% 25.00/25.16 tff(340,plain,
% 25.00/25.16 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 25.00/25.16 inference(quant_inst,[status(thm)],[])).
% 25.00/25.16 tff(341,plain,
% 25.00/25.16 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 25.00/25.16 inference(modus_ponens,[status(thm)],[340, 339])).
% 25.00/25.16 tff(342,plain,
% 25.00/25.16 (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)),
% 25.00/25.16 inference(unit_resolution,[status(thm)],[341, 19, 335, 23, 41, 77, 59, 325, 95])).
% 25.00/25.16 tff(343,plain,
% 25.00/25.16 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 25.00/25.16 inference(bind,[status(th)],[])).
% 25.00/25.16 tff(344,plain,
% 25.00/25.16 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.00/25.16 inference(quant_intro,[status(thm)],[343])).
% 25.00/25.16 tff(345,plain,
% 25.00/25.16 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.00/25.16 inference(rewrite,[status(thm)],[])).
% 25.00/25.16 tff(346,plain,
% 25.00/25.16 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 25.00/25.17 inference(bind,[status(th)],[])).
% 25.00/25.17 tff(347,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.00/25.17 inference(quant_intro,[status(thm)],[346])).
% 25.00/25.17 tff(348,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause80')).
% 25.00/25.17 tff(349,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.00/25.17 inference(modus_ponens,[status(thm)],[348, 347])).
% 25.00/25.17 tff(350,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.00/25.17 inference(modus_ponens,[status(thm)],[349, 345])).
% 25.00/25.17 tff(351,plain,(
% 25.00/25.17 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.00/25.17 inference(skolemize,[status(sab)],[350])).
% 25.00/25.17 tff(352,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.00/25.17 inference(modus_ponens,[status(thm)],[351, 344])).
% 25.00/25.17 tff(353,plain,
% 25.00/25.17 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.00/25.17 inference(rewrite,[status(thm)],[])).
% 25.00/25.17 tff(354,plain,
% 25.00/25.17 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.00/25.17 inference(rewrite,[status(thm)],[])).
% 25.00/25.17 tff(355,plain,
% 25.00/25.17 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))))),
% 25.00/25.17 inference(monotonicity,[status(thm)],[354])).
% 25.00/25.17 tff(356,plain,
% 25.00/25.17 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.00/25.17 inference(transitivity,[status(thm)],[355, 353])).
% 25.00/25.17 tff(357,plain,
% 25.00/25.17 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.00/25.17 inference(quant_inst,[status(thm)],[])).
% 25.00/25.17 tff(358,plain,
% 25.00/25.17 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 25.00/25.17 inference(modus_ponens,[status(thm)],[357, 356])).
% 25.00/25.17 tff(359,plain,
% 25.00/25.17 ($false),
% 25.00/25.17 inference(unit_resolution,[status(thm)],[358, 19, 352, 23, 41, 77, 59, 95, 342, 253, 310])).
% 25.00/25.17 tff(360,plain,(~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), inference(lemma,lemma(discharge,[]))).
% 25.00/25.17 tff(361,plain,
% 25.00/25.17 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 25.00/25.17 inference(bind,[status(th)],[])).
% 25.00/25.17 tff(362,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.00/25.17 inference(quant_intro,[status(thm)],[361])).
% 25.00/25.17 tff(363,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.00/25.17 inference(rewrite,[status(thm)],[])).
% 25.00/25.17 tff(364,plain,
% 25.00/25.17 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 25.00/25.17 inference(bind,[status(th)],[])).
% 25.00/25.17 tff(365,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.00/25.17 inference(quant_intro,[status(thm)],[364])).
% 25.00/25.17 tff(366,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause102')).
% 25.00/25.17 tff(367,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.00/25.17 inference(modus_ponens,[status(thm)],[366, 365])).
% 25.00/25.17 tff(368,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.00/25.17 inference(modus_ponens,[status(thm)],[367, 363])).
% 25.00/25.17 tff(369,plain,(
% 25.00/25.17 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.00/25.17 inference(skolemize,[status(sab)],[368])).
% 25.00/25.17 tff(370,plain,
% 25.00/25.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.00/25.17 inference(modus_ponens,[status(thm)],[369, 362])).
% 25.00/25.17 tff(371,plain,
% 25.00/25.17 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.00/25.17 inference(rewrite,[status(thm)],[])).
% 25.00/25.17 tff(372,plain,
% 25.00/25.17 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.00/25.17 inference(rewrite,[status(thm)],[])).
% 25.00/25.17 tff(373,plain,
% 25.00/25.17 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))))),
% 25.00/25.17 inference(monotonicity,[status(thm)],[372])).
% 25.00/25.17 tff(374,plain,
% 25.00/25.17 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.00/25.17 inference(transitivity,[status(thm)],[373, 371])).
% 25.00/25.17 tff(375,plain,
% 25.00/25.17 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.00/25.17 inference(quant_inst,[status(thm)],[])).
% 25.00/25.18 tff(376,plain,
% 25.00/25.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 25.00/25.18 inference(modus_ponens,[status(thm)],[375, 374])).
% 25.00/25.18 tff(377,plain,
% 25.00/25.18 (ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 25.00/25.18 inference(unit_resolution,[status(thm)],[376, 19, 370, 23, 41, 77, 59, 95, 253, 261])).
% 25.00/25.18 tff(378,plain,
% 25.00/25.18 (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 25.00/25.18 inference(unit_resolution,[status(thm)],[377, 360])).
% 25.00/25.18 tff(379,assumption,(ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.00/25.18 tff(380,assumption,(~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 25.00/25.18 tff(381,plain,
% 25.00/25.18 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 25.00/25.18 inference(bind,[status(th)],[])).
% 25.00/25.18 tff(382,plain,
% 25.00/25.18 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.00/25.18 inference(quant_intro,[status(thm)],[381])).
% 25.00/25.18 tff(383,plain,
% 25.00/25.18 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.00/25.18 inference(rewrite,[status(thm)],[])).
% 25.00/25.18 tff(384,plain,
% 25.00/25.18 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 25.00/25.18 inference(bind,[status(th)],[])).
% 25.00/25.18 tff(385,plain,
% 25.00/25.18 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.00/25.18 inference(quant_intro,[status(thm)],[384])).
% 25.00/25.18 tff(386,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause128')).
% 25.00/25.18 tff(387,plain,
% 25.00/25.18 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.00/25.18 inference(modus_ponens,[status(thm)],[386, 385])).
% 25.00/25.18 tff(388,plain,
% 25.00/25.18 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.00/25.18 inference(modus_ponens,[status(thm)],[387, 383])).
% 25.00/25.18 tff(389,plain,(
% 25.02/25.18 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.02/25.18 inference(skolemize,[status(sab)],[388])).
% 25.02/25.18 tff(390,plain,
% 25.02/25.18 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.02/25.18 inference(modus_ponens,[status(thm)],[389, 382])).
% 25.02/25.18 tff(391,plain,
% 25.02/25.18 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.02/25.18 inference(rewrite,[status(thm)],[])).
% 25.02/25.18 tff(392,plain,
% 25.02/25.18 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.02/25.18 inference(rewrite,[status(thm)],[])).
% 25.02/25.18 tff(393,plain,
% 25.02/25.18 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))))),
% 25.02/25.18 inference(monotonicity,[status(thm)],[392])).
% 25.02/25.18 tff(394,plain,
% 25.02/25.18 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.02/25.18 inference(transitivity,[status(thm)],[393, 391])).
% 25.02/25.18 tff(395,plain,
% 25.02/25.18 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.02/25.18 inference(quant_inst,[status(thm)],[])).
% 25.02/25.18 tff(396,plain,
% 25.02/25.18 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.02/25.18 inference(modus_ponens,[status(thm)],[395, 394])).
% 25.02/25.18 tff(397,plain,
% 25.02/25.18 ($false),
% 25.02/25.18 inference(unit_resolution,[status(thm)],[396, 19, 390, 23, 41, 77, 59, 95, 253, 261, 269, 380, 379])).
% 25.02/25.18 tff(398,plain,((~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 25.02/25.18 tff(399,plain,
% 25.02/25.18 (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 25.02/25.18 inference(unit_resolution,[status(thm)],[398, 378])).
% 25.02/25.18 tff(400,assumption,(~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.02/25.18 tff(401,assumption,(ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.02/25.18 tff(402,plain,
% 25.02/25.18 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.02/25.18 inference(bind,[status(th)],[])).
% 25.02/25.18 tff(403,plain,
% 25.02/25.18 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.02/25.18 inference(quant_intro,[status(thm)],[402])).
% 25.02/25.18 tff(404,plain,
% 25.02/25.18 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.02/25.18 inference(rewrite,[status(thm)],[])).
% 25.02/25.18 tff(405,plain,
% 25.02/25.18 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.02/25.19 inference(bind,[status(th)],[])).
% 25.02/25.19 tff(406,plain,
% 25.02/25.19 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.02/25.19 inference(quant_intro,[status(thm)],[405])).
% 25.02/25.19 tff(407,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause158')).
% 25.02/25.19 tff(408,plain,
% 25.02/25.19 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.02/25.19 inference(modus_ponens,[status(thm)],[407, 406])).
% 25.02/25.19 tff(409,plain,
% 25.02/25.19 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.02/25.19 inference(modus_ponens,[status(thm)],[408, 404])).
% 25.02/25.19 tff(410,plain,(
% 25.02/25.19 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.02/25.19 inference(skolemize,[status(sab)],[409])).
% 25.02/25.19 tff(411,plain,
% 25.02/25.19 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.02/25.19 inference(modus_ponens,[status(thm)],[410, 403])).
% 25.02/25.19 tff(412,plain,
% 25.02/25.19 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.02/25.19 inference(rewrite,[status(thm)],[])).
% 25.02/25.19 tff(413,plain,
% 25.02/25.19 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.02/25.19 inference(rewrite,[status(thm)],[])).
% 25.02/25.19 tff(414,plain,
% 25.02/25.19 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.02/25.19 inference(monotonicity,[status(thm)],[413])).
% 25.02/25.19 tff(415,plain,
% 25.02/25.19 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.02/25.19 inference(transitivity,[status(thm)],[414, 412])).
% 25.02/25.19 tff(416,plain,
% 25.02/25.19 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.02/25.19 inference(quant_inst,[status(thm)],[])).
% 25.02/25.19 tff(417,plain,
% 25.02/25.19 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 25.02/25.19 inference(modus_ponens,[status(thm)],[416, 415])).
% 25.02/25.19 tff(418,plain,
% 25.02/25.19 ($false),
% 25.02/25.19 inference(unit_resolution,[status(thm)],[417, 19, 411, 23, 41, 77, 59, 95, 253, 261, 269, 277, 401, 400])).
% 25.02/25.19 tff(419,plain,((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.02/25.19 tff(420,plain,
% 25.02/25.19 (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 25.02/25.19 inference(unit_resolution,[status(thm)],[419, 399])).
% 25.02/25.19 tff(421,plain,
% 25.02/25.19 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 25.02/25.19 inference(bind,[status(th)],[])).
% 25.02/25.19 tff(422,plain,
% 25.02/25.19 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.02/25.19 inference(quant_intro,[status(thm)],[421])).
% 25.02/25.19 tff(423,plain,
% 25.02/25.19 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.02/25.19 inference(rewrite,[status(thm)],[])).
% 25.02/25.19 tff(424,plain,
% 25.02/25.19 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 25.02/25.20 inference(bind,[status(th)],[])).
% 25.02/25.20 tff(425,plain,
% 25.02/25.20 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.02/25.20 inference(quant_intro,[status(thm)],[424])).
% 25.02/25.20 tff(426,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause172')).
% 25.02/25.20 tff(427,plain,
% 25.02/25.20 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.02/25.20 inference(modus_ponens,[status(thm)],[426, 425])).
% 25.02/25.20 tff(428,plain,
% 25.02/25.20 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.02/25.20 inference(modus_ponens,[status(thm)],[427, 423])).
% 25.02/25.20 tff(429,plain,(
% 25.02/25.20 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.02/25.20 inference(skolemize,[status(sab)],[428])).
% 25.02/25.20 tff(430,plain,
% 25.02/25.20 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.02/25.20 inference(modus_ponens,[status(thm)],[429, 422])).
% 25.02/25.20 tff(431,plain,
% 25.02/25.20 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.02/25.20 inference(rewrite,[status(thm)],[])).
% 25.02/25.20 tff(432,plain,
% 25.02/25.20 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.02/25.20 inference(rewrite,[status(thm)],[])).
% 25.02/25.20 tff(433,plain,
% 25.02/25.20 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))))),
% 25.02/25.20 inference(monotonicity,[status(thm)],[432])).
% 25.02/25.20 tff(434,plain,
% 25.02/25.20 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.02/25.20 inference(transitivity,[status(thm)],[433, 431])).
% 25.02/25.20 tff(435,plain,
% 25.02/25.20 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.02/25.20 inference(quant_inst,[status(thm)],[])).
% 25.02/25.20 tff(436,plain,
% 25.02/25.20 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.02/25.20 inference(modus_ponens,[status(thm)],[435, 434])).
% 25.02/25.20 tff(437,plain,
% 25.02/25.20 ($false),
% 25.02/25.20 inference(unit_resolution,[status(thm)],[436, 19, 430, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 420, 309])).
% 25.02/25.20 tff(438,plain,(~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.02/25.20 tff(439,assumption,(ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.02/25.20 tff(440,plain,
% 25.02/25.20 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.02/25.20 inference(bind,[status(th)],[])).
% 25.02/25.20 tff(441,plain,
% 25.02/25.20 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.02/25.20 inference(quant_intro,[status(thm)],[440])).
% 25.02/25.20 tff(442,plain,
% 25.02/25.20 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.02/25.20 inference(rewrite,[status(thm)],[])).
% 25.02/25.20 tff(443,plain,
% 25.02/25.20 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.02/25.21 inference(bind,[status(th)],[])).
% 25.02/25.21 tff(444,plain,
% 25.02/25.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.02/25.21 inference(quant_intro,[status(thm)],[443])).
% 25.02/25.21 tff(445,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause211')).
% 25.02/25.21 tff(446,plain,
% 25.02/25.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.02/25.21 inference(modus_ponens,[status(thm)],[445, 444])).
% 25.02/25.21 tff(447,plain,
% 25.02/25.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.02/25.21 inference(modus_ponens,[status(thm)],[446, 442])).
% 25.02/25.21 tff(448,plain,(
% 25.02/25.21 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.02/25.21 inference(skolemize,[status(sab)],[447])).
% 25.02/25.21 tff(449,plain,
% 25.02/25.21 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.02/25.21 inference(modus_ponens,[status(thm)],[448, 441])).
% 25.02/25.21 tff(450,plain,
% 25.02/25.21 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.02/25.21 inference(rewrite,[status(thm)],[])).
% 25.02/25.21 tff(451,plain,
% 25.02/25.21 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.02/25.21 inference(rewrite,[status(thm)],[])).
% 25.02/25.21 tff(452,plain,
% 25.02/25.21 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.02/25.21 inference(monotonicity,[status(thm)],[451])).
% 25.02/25.21 tff(453,plain,
% 25.02/25.21 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.02/25.21 inference(transitivity,[status(thm)],[452, 450])).
% 25.02/25.21 tff(454,plain,
% 25.02/25.21 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.02/25.22 inference(quant_inst,[status(thm)],[])).
% 25.02/25.22 tff(455,plain,
% 25.02/25.22 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)),
% 25.02/25.22 inference(modus_ponens,[status(thm)],[454, 453])).
% 25.02/25.22 tff(456,plain,
% 25.02/25.22 ($false),
% 25.02/25.22 inference(unit_resolution,[status(thm)],[455, 19, 449, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 439, 438])).
% 25.02/25.22 tff(457,plain,(~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.02/25.22 tff(458,plain,
% 25.02/25.22 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 25.02/25.22 inference(bind,[status(th)],[])).
% 25.02/25.22 tff(459,plain,
% 25.02/25.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.02/25.22 inference(quant_intro,[status(thm)],[458])).
% 25.02/25.22 tff(460,plain,
% 25.02/25.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.02/25.22 inference(rewrite,[status(thm)],[])).
% 25.02/25.22 tff(461,plain,
% 25.02/25.22 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 25.06/25.22 inference(bind,[status(th)],[])).
% 25.06/25.22 tff(462,plain,
% 25.06/25.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.06/25.22 inference(quant_intro,[status(thm)],[461])).
% 25.06/25.22 tff(463,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause230')).
% 25.06/25.22 tff(464,plain,
% 25.06/25.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.06/25.22 inference(modus_ponens,[status(thm)],[463, 462])).
% 25.06/25.22 tff(465,plain,
% 25.06/25.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.06/25.22 inference(modus_ponens,[status(thm)],[464, 460])).
% 25.06/25.22 tff(466,plain,(
% 25.06/25.22 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.06/25.22 inference(skolemize,[status(sab)],[465])).
% 25.06/25.22 tff(467,plain,
% 25.06/25.22 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.06/25.22 inference(modus_ponens,[status(thm)],[466, 459])).
% 25.06/25.22 tff(468,plain,
% 25.06/25.22 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.06/25.22 inference(rewrite,[status(thm)],[])).
% 25.06/25.22 tff(469,plain,
% 25.06/25.22 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.06/25.22 inference(rewrite,[status(thm)],[])).
% 25.06/25.22 tff(470,plain,
% 25.06/25.22 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.06/25.23 inference(monotonicity,[status(thm)],[469])).
% 25.06/25.23 tff(471,plain,
% 25.06/25.23 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.06/25.23 inference(transitivity,[status(thm)],[470, 468])).
% 25.06/25.23 tff(472,plain,
% 25.06/25.23 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))),
% 25.06/25.23 inference(quant_inst,[status(thm)],[])).
% 25.06/25.23 tff(473,plain,
% 25.06/25.23 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.06/25.23 inference(modus_ponens,[status(thm)],[472, 471])).
% 25.06/25.23 tff(474,plain,
% 25.06/25.23 ((~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.06/25.23 inference(unit_resolution,[status(thm)],[473, 19, 467, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 302])).
% 25.06/25.23 tff(475,plain,
% 25.06/25.23 (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)),
% 25.06/25.23 inference(unit_resolution,[status(thm)],[474, 457])).
% 25.06/25.23 tff(476,assumption,(~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.06/25.23 tff(477,plain,
% 25.06/25.23 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.06/25.23 inference(bind,[status(th)],[])).
% 25.06/25.23 tff(478,plain,
% 25.06/25.23 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.06/25.23 inference(quant_intro,[status(thm)],[477])).
% 25.06/25.23 tff(479,plain,
% 25.06/25.23 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.06/25.23 inference(rewrite,[status(thm)],[])).
% 25.06/25.23 tff(480,plain,
% 25.06/25.23 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.06/25.23 inference(bind,[status(th)],[])).
% 25.06/25.23 tff(481,plain,
% 25.06/25.23 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.06/25.23 inference(quant_intro,[status(thm)],[480])).
% 25.06/25.23 tff(482,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause215')).
% 25.06/25.23 tff(483,plain,
% 25.06/25.23 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.06/25.23 inference(modus_ponens,[status(thm)],[482, 481])).
% 25.06/25.23 tff(484,plain,
% 25.06/25.23 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.06/25.23 inference(modus_ponens,[status(thm)],[483, 479])).
% 25.06/25.23 tff(485,plain,(
% 25.06/25.23 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.06/25.23 inference(skolemize,[status(sab)],[484])).
% 25.06/25.23 tff(486,plain,
% 25.06/25.23 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.06/25.23 inference(modus_ponens,[status(thm)],[485, 478])).
% 25.06/25.23 tff(487,plain,
% 25.06/25.23 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))),
% 25.08/25.24 inference(rewrite,[status(thm)],[])).
% 25.08/25.24 tff(488,plain,
% 25.08/25.24 (((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))),
% 25.08/25.24 inference(rewrite,[status(thm)],[])).
% 25.08/25.24 tff(489,plain,
% 25.08/25.24 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))),
% 25.08/25.24 inference(monotonicity,[status(thm)],[488])).
% 25.08/25.24 tff(490,plain,
% 25.08/25.24 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))),
% 25.08/25.24 inference(transitivity,[status(thm)],[489, 487])).
% 25.08/25.24 tff(491,plain,
% 25.08/25.24 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.08/25.24 inference(quant_inst,[status(thm)],[])).
% 25.08/25.24 tff(492,plain,
% 25.08/25.24 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)),
% 25.08/25.24 inference(modus_ponens,[status(thm)],[491, 490])).
% 25.08/25.24 tff(493,plain,
% 25.08/25.24 ($false),
% 25.08/25.24 inference(unit_resolution,[status(thm)],[492, 19, 486, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 302, 476])).
% 25.08/25.24 tff(494,plain,(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.08/25.24 tff(495,plain,
% 25.08/25.24 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 25.08/25.24 inference(bind,[status(th)],[])).
% 25.08/25.24 tff(496,plain,
% 25.08/25.24 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.08/25.24 inference(quant_intro,[status(thm)],[495])).
% 25.08/25.24 tff(497,plain,
% 25.08/25.24 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.08/25.24 inference(rewrite,[status(thm)],[])).
% 25.08/25.24 tff(498,plain,
% 25.08/25.24 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 25.08/25.25 inference(bind,[status(th)],[])).
% 25.08/25.25 tff(499,plain,
% 25.08/25.25 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.08/25.25 inference(quant_intro,[status(thm)],[498])).
% 25.08/25.25 tff(500,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause275')).
% 25.08/25.25 tff(501,plain,
% 25.08/25.25 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.08/25.25 inference(modus_ponens,[status(thm)],[500, 499])).
% 25.08/25.25 tff(502,plain,
% 25.08/25.25 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.08/25.25 inference(modus_ponens,[status(thm)],[501, 497])).
% 25.08/25.25 tff(503,plain,(
% 25.08/25.25 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.08/25.25 inference(skolemize,[status(sab)],[502])).
% 25.08/25.25 tff(504,plain,
% 25.08/25.25 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.08/25.25 inference(modus_ponens,[status(thm)],[503, 496])).
% 25.08/25.25 tff(505,plain,
% 25.08/25.25 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 25.08/25.25 inference(rewrite,[status(thm)],[])).
% 25.08/25.25 tff(506,plain,
% 25.08/25.25 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 25.08/25.25 inference(rewrite,[status(thm)],[])).
% 25.08/25.25 tff(507,plain,
% 25.08/25.25 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))))),
% 25.08/25.25 inference(monotonicity,[status(thm)],[506])).
% 25.08/25.25 tff(508,plain,
% 25.08/25.25 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 25.08/25.25 inference(transitivity,[status(thm)],[507, 505])).
% 25.08/25.25 tff(509,plain,
% 25.08/25.25 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 25.08/25.26 inference(quant_inst,[status(thm)],[])).
% 25.08/25.26 tff(510,plain,
% 25.08/25.26 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))),
% 25.08/25.26 inference(modus_ponens,[status(thm)],[509, 508])).
% 25.08/25.26 tff(511,plain,
% 25.08/25.26 ($false),
% 25.08/25.26 inference(unit_resolution,[status(thm)],[510, 19, 504, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 302, 494, 475, 308])).
% 25.08/25.26 tff(512,plain,(~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)), inference(lemma,lemma(discharge,[]))).
% 25.08/25.26 tff(513,assumption,(ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 25.08/25.26 tff(514,assumption,(ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), introduced(assumption)).
% 25.08/25.26 tff(515,plain,
% 25.08/25.26 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))),
% 25.08/25.26 inference(bind,[status(th)],[])).
% 25.08/25.26 tff(516,plain,
% 25.08/25.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 25.08/25.26 inference(quant_intro,[status(thm)],[515])).
% 25.08/25.26 tff(517,plain,
% 25.08/25.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 25.08/25.26 inference(rewrite,[status(thm)],[])).
% 25.08/25.26 tff(518,plain,
% 25.08/25.26 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), ((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), ((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), (((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), (((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), (((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), (((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))))),
% 25.08/25.26 inference(bind,[status(th)],[])).
% 25.08/25.26 tff(519,plain,
% 25.08/25.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 25.08/25.26 inference(quant_intro,[status(thm)],[518])).
% 25.08/25.26 tff(520,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause35')).
% 25.08/25.26 tff(521,plain,
% 25.08/25.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 25.08/25.26 inference(modus_ponens,[status(thm)],[520, 519])).
% 25.08/25.26 tff(522,plain,
% 25.08/25.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 25.08/25.26 inference(modus_ponens,[status(thm)],[521, 517])).
% 25.08/25.26 tff(523,plain,(
% 25.08/25.26 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 25.08/25.26 inference(skolemize,[status(sab)],[522])).
% 25.08/25.26 tff(524,plain,
% 25.08/25.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 25.08/25.26 inference(modus_ponens,[status(thm)],[523, 516])).
% 25.08/25.26 tff(525,plain,
% 25.08/25.26 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 25.08/25.26 inference(rewrite,[status(thm)],[])).
% 25.08/25.26 tff(526,plain,
% 25.08/25.26 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 25.08/25.26 inference(quant_inst,[status(thm)],[])).
% 25.08/25.26 tff(527,plain,
% 25.08/25.26 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 25.08/25.26 inference(modus_ponens,[status(thm)],[526, 525])).
% 25.08/25.26 tff(528,plain,
% 25.08/25.26 ($false),
% 25.08/25.26 inference(unit_resolution,[status(thm)],[527, 19, 524, 23, 41, 77, 59, 514])).
% 25.08/25.26 tff(529,plain,(~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), inference(lemma,lemma(discharge,[]))).
% 25.08/25.26 tff(530,plain,
% 25.08/25.26 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 25.08/25.26 inference(bind,[status(th)],[])).
% 25.08/25.26 tff(531,plain,
% 25.08/25.26 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.08/25.26 inference(quant_intro,[status(thm)],[530])).
% 25.08/25.26 tff(532,plain,
% 25.08/25.26 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.08/25.26 inference(rewrite,[status(thm)],[])).
% 25.08/25.26 tff(533,plain,
% 25.08/25.26 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 25.08/25.26 inference(bind,[status(th)],[])).
% 25.08/25.26 tff(534,plain,
% 25.08/25.26 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.08/25.26 inference(quant_intro,[status(thm)],[533])).
% 25.08/25.26 tff(535,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause81')).
% 25.08/25.26 tff(536,plain,
% 25.08/25.26 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.08/25.26 inference(modus_ponens,[status(thm)],[535, 534])).
% 25.08/25.26 tff(537,plain,
% 25.08/25.26 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.08/25.26 inference(modus_ponens,[status(thm)],[536, 532])).
% 25.08/25.26 tff(538,plain,(
% 25.08/25.26 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.08/25.26 inference(skolemize,[status(sab)],[537])).
% 25.08/25.26 tff(539,plain,
% 25.08/25.26 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.08/25.26 inference(modus_ponens,[status(thm)],[538, 531])).
% 25.08/25.26 tff(540,plain,
% 25.08/25.26 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.08/25.26 inference(rewrite,[status(thm)],[])).
% 25.08/25.26 tff(541,plain,
% 25.08/25.26 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.08/25.26 inference(rewrite,[status(thm)],[])).
% 25.08/25.26 tff(542,plain,
% 25.08/25.26 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))))),
% 25.08/25.26 inference(monotonicity,[status(thm)],[541])).
% 25.08/25.26 tff(543,plain,
% 25.08/25.26 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.08/25.26 inference(transitivity,[status(thm)],[542, 540])).
% 25.08/25.26 tff(544,plain,
% 25.08/25.26 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.08/25.26 inference(quant_inst,[status(thm)],[])).
% 25.08/25.26 tff(545,plain,
% 25.08/25.26 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 25.08/25.27 inference(modus_ponens,[status(thm)],[544, 543])).
% 25.08/25.27 tff(546,plain,
% 25.08/25.27 ((~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 25.08/25.27 inference(unit_resolution,[status(thm)],[545, 19, 539, 23, 41, 77, 59, 95])).
% 25.08/25.27 tff(547,plain,
% 25.08/25.27 (ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 25.08/25.27 inference(unit_resolution,[status(thm)],[546, 253])).
% 25.08/25.27 tff(548,plain,
% 25.08/25.27 (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 25.08/25.27 inference(unit_resolution,[status(thm)],[547, 529])).
% 25.08/25.27 tff(549,plain,
% 25.08/25.27 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 25.08/25.27 inference(bind,[status(th)],[])).
% 25.08/25.27 tff(550,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.27 inference(quant_intro,[status(thm)],[549])).
% 25.08/25.27 tff(551,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.27 inference(rewrite,[status(thm)],[])).
% 25.08/25.27 tff(552,plain,
% 25.08/25.27 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 25.08/25.27 inference(bind,[status(th)],[])).
% 25.08/25.27 tff(553,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.27 inference(quant_intro,[status(thm)],[552])).
% 25.08/25.27 tff(554,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause103')).
% 25.08/25.27 tff(555,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.27 inference(modus_ponens,[status(thm)],[554, 553])).
% 25.08/25.27 tff(556,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.27 inference(modus_ponens,[status(thm)],[555, 551])).
% 25.08/25.27 tff(557,plain,(
% 25.08/25.27 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.27 inference(skolemize,[status(sab)],[556])).
% 25.08/25.27 tff(558,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.27 inference(modus_ponens,[status(thm)],[557, 550])).
% 25.08/25.27 tff(559,plain,
% 25.08/25.27 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.08/25.27 inference(rewrite,[status(thm)],[])).
% 25.08/25.27 tff(560,plain,
% 25.08/25.27 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.08/25.27 inference(rewrite,[status(thm)],[])).
% 25.08/25.27 tff(561,plain,
% 25.08/25.27 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))))),
% 25.08/25.27 inference(monotonicity,[status(thm)],[560])).
% 25.08/25.27 tff(562,plain,
% 25.08/25.27 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.08/25.27 inference(transitivity,[status(thm)],[561, 559])).
% 25.08/25.27 tff(563,plain,
% 25.08/25.27 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.08/25.27 inference(quant_inst,[status(thm)],[])).
% 25.08/25.27 tff(564,plain,
% 25.08/25.27 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 25.08/25.27 inference(modus_ponens,[status(thm)],[563, 562])).
% 25.08/25.27 tff(565,plain,
% 25.08/25.27 ($false),
% 25.08/25.27 inference(unit_resolution,[status(thm)],[564, 19, 558, 23, 41, 77, 59, 95, 253, 548, 261, 513])).
% 25.08/25.27 tff(566,plain,(~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 25.08/25.27 tff(567,assumption,(ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.08/25.27 tff(568,assumption,(~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 25.08/25.27 tff(569,plain,
% 25.08/25.27 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 25.08/25.27 inference(bind,[status(th)],[])).
% 25.08/25.27 tff(570,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.27 inference(quant_intro,[status(thm)],[569])).
% 25.08/25.27 tff(571,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.27 inference(rewrite,[status(thm)],[])).
% 25.08/25.27 tff(572,plain,
% 25.08/25.27 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 25.08/25.27 inference(bind,[status(th)],[])).
% 25.08/25.27 tff(573,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.27 inference(quant_intro,[status(thm)],[572])).
% 25.08/25.27 tff(574,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause129')).
% 25.08/25.27 tff(575,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.27 inference(modus_ponens,[status(thm)],[574, 573])).
% 25.08/25.27 tff(576,plain,
% 25.08/25.27 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.27 inference(modus_ponens,[status(thm)],[575, 571])).
% 25.08/25.27 tff(577,plain,(
% 25.08/25.27 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.28 inference(skolemize,[status(sab)],[576])).
% 25.08/25.28 tff(578,plain,
% 25.08/25.28 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.28 inference(modus_ponens,[status(thm)],[577, 570])).
% 25.08/25.28 tff(579,plain,
% 25.08/25.28 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.08/25.28 inference(rewrite,[status(thm)],[])).
% 25.08/25.28 tff(580,plain,
% 25.08/25.28 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.08/25.28 inference(rewrite,[status(thm)],[])).
% 25.08/25.28 tff(581,plain,
% 25.08/25.28 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))))),
% 25.08/25.28 inference(monotonicity,[status(thm)],[580])).
% 25.08/25.28 tff(582,plain,
% 25.08/25.28 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.08/25.28 inference(transitivity,[status(thm)],[581, 579])).
% 25.08/25.28 tff(583,plain,
% 25.08/25.28 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.08/25.28 inference(quant_inst,[status(thm)],[])).
% 25.08/25.28 tff(584,plain,
% 25.08/25.28 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.08/25.28 inference(modus_ponens,[status(thm)],[583, 582])).
% 25.08/25.28 tff(585,plain,
% 25.08/25.28 ($false),
% 25.08/25.28 inference(unit_resolution,[status(thm)],[584, 19, 578, 23, 41, 77, 59, 95, 253, 261, 568, 269, 567])).
% 25.08/25.28 tff(586,plain,((~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 25.08/25.28 tff(587,plain,
% 25.08/25.28 (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 25.08/25.28 inference(unit_resolution,[status(thm)],[586, 566])).
% 25.08/25.28 tff(588,assumption,(ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.08/25.28 tff(589,assumption,(~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.08/25.28 tff(590,plain,
% 25.08/25.28 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.08/25.28 inference(bind,[status(th)],[])).
% 25.08/25.28 tff(591,plain,
% 25.08/25.28 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.28 inference(quant_intro,[status(thm)],[590])).
% 25.08/25.28 tff(592,plain,
% 25.08/25.28 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.28 inference(rewrite,[status(thm)],[])).
% 25.08/25.28 tff(593,plain,
% 25.08/25.28 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.08/25.28 inference(bind,[status(th)],[])).
% 25.08/25.28 tff(594,plain,
% 25.08/25.28 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.28 inference(quant_intro,[status(thm)],[593])).
% 25.08/25.28 tff(595,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause159')).
% 25.08/25.28 tff(596,plain,
% 25.08/25.28 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.28 inference(modus_ponens,[status(thm)],[595, 594])).
% 25.08/25.28 tff(597,plain,
% 25.08/25.28 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.28 inference(modus_ponens,[status(thm)],[596, 592])).
% 25.08/25.28 tff(598,plain,(
% 25.08/25.28 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.28 inference(skolemize,[status(sab)],[597])).
% 25.08/25.28 tff(599,plain,
% 25.08/25.28 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.28 inference(modus_ponens,[status(thm)],[598, 591])).
% 25.08/25.28 tff(600,plain,
% 25.08/25.28 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.08/25.29 inference(rewrite,[status(thm)],[])).
% 25.08/25.29 tff(601,plain,
% 25.08/25.29 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.08/25.29 inference(rewrite,[status(thm)],[])).
% 25.08/25.29 tff(602,plain,
% 25.08/25.29 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.08/25.29 inference(monotonicity,[status(thm)],[601])).
% 25.08/25.29 tff(603,plain,
% 25.08/25.29 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.08/25.29 inference(transitivity,[status(thm)],[602, 600])).
% 25.08/25.29 tff(604,plain,
% 25.08/25.29 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.08/25.29 inference(quant_inst,[status(thm)],[])).
% 25.08/25.29 tff(605,plain,
% 25.08/25.29 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 25.08/25.29 inference(modus_ponens,[status(thm)],[604, 603])).
% 25.08/25.29 tff(606,plain,
% 25.08/25.29 ($false),
% 25.08/25.29 inference(unit_resolution,[status(thm)],[605, 19, 599, 23, 41, 77, 59, 95, 253, 261, 269, 277, 589, 588])).
% 25.08/25.29 tff(607,plain,((~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.08/25.29 tff(608,plain,
% 25.08/25.29 (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 25.08/25.29 inference(unit_resolution,[status(thm)],[607, 587])).
% 25.08/25.29 tff(609,assumption,(ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.08/25.29 tff(610,assumption,(ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 25.08/25.29 tff(611,plain,
% 25.08/25.29 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))),
% 25.08/25.29 inference(bind,[status(th)],[])).
% 25.08/25.29 tff(612,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 25.08/25.29 inference(quant_intro,[status(thm)],[611])).
% 25.08/25.29 tff(613,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 25.08/25.29 inference(rewrite,[status(thm)],[])).
% 25.08/25.29 tff(614,plain,
% 25.08/25.29 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), ((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), ((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))), (((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), (((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))), ((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), ((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))), (((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), (((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))), ((((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), ((((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))))),
% 25.08/25.29 inference(bind,[status(th)],[])).
% 25.08/25.29 tff(615,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 25.08/25.29 inference(quant_intro,[status(thm)],[614])).
% 25.08/25.29 tff(616,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause51')).
% 25.08/25.29 tff(617,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 25.08/25.29 inference(modus_ponens,[status(thm)],[616, 615])).
% 25.08/25.29 tff(618,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 25.08/25.29 inference(modus_ponens,[status(thm)],[617, 613])).
% 25.08/25.29 tff(619,plain,(
% 25.08/25.29 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 25.08/25.29 inference(skolemize,[status(sab)],[618])).
% 25.08/25.29 tff(620,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 25.08/25.29 inference(modus_ponens,[status(thm)],[619, 612])).
% 25.08/25.29 tff(621,plain,
% 25.08/25.29 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.08/25.29 inference(rewrite,[status(thm)],[])).
% 25.08/25.29 tff(622,plain,
% 25.08/25.29 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.08/25.29 inference(quant_inst,[status(thm)],[])).
% 25.08/25.29 tff(623,plain,
% 25.08/25.29 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 25.08/25.29 inference(modus_ponens,[status(thm)],[622, 621])).
% 25.08/25.29 tff(624,plain,
% 25.08/25.29 (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 25.08/25.29 inference(unit_resolution,[status(thm)],[623, 19, 620, 23, 41, 77, 59, 95])).
% 25.08/25.29 tff(625,plain,
% 25.08/25.29 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 25.08/25.29 inference(bind,[status(th)],[])).
% 25.08/25.29 tff(626,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.29 inference(quant_intro,[status(thm)],[625])).
% 25.08/25.29 tff(627,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.29 inference(rewrite,[status(thm)],[])).
% 25.08/25.29 tff(628,plain,
% 25.08/25.29 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 25.08/25.29 inference(bind,[status(th)],[])).
% 25.08/25.29 tff(629,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.29 inference(quant_intro,[status(thm)],[628])).
% 25.08/25.29 tff(630,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause104')).
% 25.08/25.29 tff(631,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.29 inference(modus_ponens,[status(thm)],[630, 629])).
% 25.08/25.29 tff(632,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.29 inference(modus_ponens,[status(thm)],[631, 627])).
% 25.08/25.29 tff(633,plain,(
% 25.08/25.29 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.29 inference(skolemize,[status(sab)],[632])).
% 25.08/25.29 tff(634,plain,
% 25.08/25.29 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.08/25.29 inference(modus_ponens,[status(thm)],[633, 626])).
% 25.08/25.29 tff(635,plain,
% 25.08/25.29 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.08/25.30 inference(rewrite,[status(thm)],[])).
% 25.08/25.30 tff(636,plain,
% 25.08/25.30 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.08/25.30 inference(rewrite,[status(thm)],[])).
% 25.08/25.30 tff(637,plain,
% 25.08/25.30 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))))),
% 25.08/25.30 inference(monotonicity,[status(thm)],[636])).
% 25.08/25.30 tff(638,plain,
% 25.08/25.30 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.08/25.30 inference(transitivity,[status(thm)],[637, 635])).
% 25.08/25.30 tff(639,plain,
% 25.08/25.30 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.08/25.30 inference(quant_inst,[status(thm)],[])).
% 25.08/25.30 tff(640,plain,
% 25.08/25.30 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 25.08/25.30 inference(modus_ponens,[status(thm)],[639, 638])).
% 25.08/25.30 tff(641,plain,
% 25.08/25.30 ($false),
% 25.08/25.30 inference(unit_resolution,[status(thm)],[640, 19, 634, 23, 41, 77, 59, 95, 624, 253, 261, 610])).
% 25.08/25.30 tff(642,plain,(~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 25.08/25.30 tff(643,plain,
% 25.08/25.30 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 25.08/25.30 inference(bind,[status(th)],[])).
% 25.08/25.30 tff(644,plain,
% 25.08/25.30 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.30 inference(quant_intro,[status(thm)],[643])).
% 25.08/25.30 tff(645,plain,
% 25.08/25.30 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.30 inference(rewrite,[status(thm)],[])).
% 25.08/25.30 tff(646,plain,
% 25.08/25.30 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 25.08/25.30 inference(bind,[status(th)],[])).
% 25.08/25.30 tff(647,plain,
% 25.08/25.30 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.30 inference(quant_intro,[status(thm)],[646])).
% 25.08/25.30 tff(648,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause130')).
% 25.08/25.30 tff(649,plain,
% 25.08/25.30 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.30 inference(modus_ponens,[status(thm)],[648, 647])).
% 25.08/25.30 tff(650,plain,
% 25.08/25.30 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.30 inference(modus_ponens,[status(thm)],[649, 645])).
% 25.08/25.30 tff(651,plain,(
% 25.08/25.30 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.30 inference(skolemize,[status(sab)],[650])).
% 25.08/25.30 tff(652,plain,
% 25.08/25.30 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.08/25.30 inference(modus_ponens,[status(thm)],[651, 644])).
% 25.08/25.30 tff(653,plain,
% 25.08/25.30 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.08/25.30 inference(rewrite,[status(thm)],[])).
% 25.08/25.30 tff(654,plain,
% 25.08/25.30 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.08/25.30 inference(rewrite,[status(thm)],[])).
% 25.08/25.30 tff(655,plain,
% 25.08/25.30 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))))),
% 25.08/25.30 inference(monotonicity,[status(thm)],[654])).
% 25.08/25.30 tff(656,plain,
% 25.08/25.30 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.08/25.30 inference(transitivity,[status(thm)],[655, 653])).
% 25.08/25.30 tff(657,plain,
% 25.08/25.30 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.08/25.31 inference(quant_inst,[status(thm)],[])).
% 25.08/25.31 tff(658,plain,
% 25.08/25.31 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.08/25.31 inference(modus_ponens,[status(thm)],[657, 656])).
% 25.08/25.31 tff(659,plain,
% 25.08/25.31 ($false),
% 25.08/25.31 inference(unit_resolution,[status(thm)],[658, 19, 652, 23, 41, 77, 59, 95, 253, 261, 642, 269, 609])).
% 25.08/25.31 tff(660,plain,(~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.08/25.31 tff(661,assumption,(ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.08/25.31 tff(662,plain,
% 25.08/25.31 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.08/25.31 inference(bind,[status(th)],[])).
% 25.08/25.31 tff(663,plain,
% 25.08/25.31 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.31 inference(quant_intro,[status(thm)],[662])).
% 25.08/25.31 tff(664,plain,
% 25.08/25.31 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.31 inference(rewrite,[status(thm)],[])).
% 25.08/25.31 tff(665,plain,
% 25.08/25.31 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.08/25.31 inference(bind,[status(th)],[])).
% 25.08/25.31 tff(666,plain,
% 25.08/25.31 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.31 inference(quant_intro,[status(thm)],[665])).
% 25.08/25.31 tff(667,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause160')).
% 25.08/25.31 tff(668,plain,
% 25.08/25.31 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.31 inference(modus_ponens,[status(thm)],[667, 666])).
% 25.08/25.31 tff(669,plain,
% 25.08/25.31 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.31 inference(modus_ponens,[status(thm)],[668, 664])).
% 25.08/25.31 tff(670,plain,(
% 25.08/25.31 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.31 inference(skolemize,[status(sab)],[669])).
% 25.08/25.31 tff(671,plain,
% 25.08/25.31 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.08/25.31 inference(modus_ponens,[status(thm)],[670, 663])).
% 25.08/25.31 tff(672,plain,
% 25.08/25.31 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.08/25.31 inference(rewrite,[status(thm)],[])).
% 25.08/25.31 tff(673,plain,
% 25.08/25.31 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.08/25.31 inference(rewrite,[status(thm)],[])).
% 25.08/25.31 tff(674,plain,
% 25.08/25.31 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))))),
% 25.08/25.31 inference(monotonicity,[status(thm)],[673])).
% 25.08/25.31 tff(675,plain,
% 25.08/25.31 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.31 inference(transitivity,[status(thm)],[674, 672])).
% 25.17/25.31 tff(676,plain,
% 25.17/25.31 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.31 inference(quant_inst,[status(thm)],[])).
% 25.17/25.31 tff(677,plain,
% 25.17/25.31 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.17/25.31 inference(modus_ponens,[status(thm)],[676, 675])).
% 25.17/25.31 tff(678,plain,
% 25.17/25.31 ($false),
% 25.17/25.31 inference(unit_resolution,[status(thm)],[677, 19, 671, 23, 41, 77, 59, 95, 253, 261, 269, 277, 661, 660])).
% 25.17/25.31 tff(679,plain,(~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.17/25.31 tff(680,assumption,(ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.17/25.31 tff(681,plain,
% 25.17/25.31 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))),
% 25.17/25.31 inference(bind,[status(th)],[])).
% 25.17/25.31 tff(682,plain,
% 25.17/25.31 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 25.17/25.31 inference(quant_intro,[status(thm)],[681])).
% 25.17/25.31 tff(683,plain,
% 25.17/25.31 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 25.17/25.31 inference(rewrite,[status(thm)],[])).
% 25.17/25.31 tff(684,plain,
% 25.17/25.31 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), (((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), ((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), (((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), (((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))))),
% 25.17/25.32 inference(bind,[status(th)],[])).
% 25.17/25.32 tff(685,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 25.17/25.32 inference(quant_intro,[status(thm)],[684])).
% 25.17/25.32 tff(686,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause69')).
% 25.17/25.32 tff(687,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 25.17/25.32 inference(modus_ponens,[status(thm)],[686, 685])).
% 25.17/25.32 tff(688,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 25.17/25.32 inference(modus_ponens,[status(thm)],[687, 683])).
% 25.17/25.32 tff(689,plain,(
% 25.17/25.32 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 25.17/25.32 inference(skolemize,[status(sab)],[688])).
% 25.17/25.32 tff(690,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 25.17/25.32 inference(modus_ponens,[status(thm)],[689, 682])).
% 25.17/25.32 tff(691,plain,
% 25.17/25.32 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.17/25.32 inference(rewrite,[status(thm)],[])).
% 25.17/25.32 tff(692,plain,
% 25.17/25.32 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.17/25.32 inference(quant_inst,[status(thm)],[])).
% 25.17/25.32 tff(693,plain,
% 25.17/25.32 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 25.17/25.32 inference(modus_ponens,[status(thm)],[692, 691])).
% 25.17/25.32 tff(694,plain,
% 25.17/25.32 ((~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 25.17/25.32 inference(unit_resolution,[status(thm)],[693, 19, 690, 23, 41, 77, 59, 95])).
% 25.17/25.32 tff(695,plain,
% 25.17/25.32 (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 25.17/25.32 inference(unit_resolution,[status(thm)],[694, 253])).
% 25.17/25.32 tff(696,plain,
% 25.17/25.32 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 25.17/25.32 inference(bind,[status(th)],[])).
% 25.17/25.32 tff(697,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.17/25.32 inference(quant_intro,[status(thm)],[696])).
% 25.17/25.32 tff(698,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.17/25.32 inference(rewrite,[status(thm)],[])).
% 25.17/25.32 tff(699,plain,
% 25.17/25.32 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 25.17/25.32 inference(bind,[status(th)],[])).
% 25.17/25.32 tff(700,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.17/25.32 inference(quant_intro,[status(thm)],[699])).
% 25.17/25.32 tff(701,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause131')).
% 25.17/25.32 tff(702,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.17/25.32 inference(modus_ponens,[status(thm)],[701, 700])).
% 25.17/25.32 tff(703,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.17/25.32 inference(modus_ponens,[status(thm)],[702, 698])).
% 25.17/25.32 tff(704,plain,(
% 25.17/25.32 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.17/25.32 inference(skolemize,[status(sab)],[703])).
% 25.17/25.32 tff(705,plain,
% 25.17/25.32 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.17/25.32 inference(modus_ponens,[status(thm)],[704, 697])).
% 25.17/25.32 tff(706,plain,
% 25.17/25.32 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.17/25.32 inference(rewrite,[status(thm)],[])).
% 25.17/25.32 tff(707,plain,
% 25.17/25.32 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.17/25.32 inference(rewrite,[status(thm)],[])).
% 25.17/25.32 tff(708,plain,
% 25.17/25.32 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))))),
% 25.17/25.32 inference(monotonicity,[status(thm)],[707])).
% 25.17/25.32 tff(709,plain,
% 25.17/25.32 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.17/25.33 inference(transitivity,[status(thm)],[708, 706])).
% 25.17/25.33 tff(710,plain,
% 25.17/25.33 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.17/25.33 inference(quant_inst,[status(thm)],[])).
% 25.17/25.33 tff(711,plain,
% 25.17/25.33 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.17/25.33 inference(modus_ponens,[status(thm)],[710, 709])).
% 25.17/25.33 tff(712,plain,
% 25.17/25.33 ($false),
% 25.17/25.33 inference(unit_resolution,[status(thm)],[711, 19, 705, 23, 41, 77, 59, 95, 253, 695, 261, 269, 680])).
% 25.17/25.33 tff(713,plain,(~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.17/25.33 tff(714,assumption,(ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.17/25.33 tff(715,plain,
% 25.17/25.33 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.17/25.33 inference(bind,[status(th)],[])).
% 25.17/25.33 tff(716,plain,
% 25.17/25.33 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.33 inference(quant_intro,[status(thm)],[715])).
% 25.17/25.33 tff(717,plain,
% 25.17/25.33 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.33 inference(rewrite,[status(thm)],[])).
% 25.17/25.33 tff(718,plain,
% 25.17/25.33 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.17/25.33 inference(bind,[status(th)],[])).
% 25.17/25.33 tff(719,plain,
% 25.17/25.33 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.33 inference(quant_intro,[status(thm)],[718])).
% 25.17/25.33 tff(720,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause143')).
% 25.17/25.33 tff(721,plain,
% 25.17/25.33 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.33 inference(modus_ponens,[status(thm)],[720, 719])).
% 25.17/25.33 tff(722,plain,
% 25.17/25.33 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.33 inference(modus_ponens,[status(thm)],[721, 717])).
% 25.17/25.33 tff(723,plain,(
% 25.17/25.33 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.33 inference(skolemize,[status(sab)],[722])).
% 25.17/25.33 tff(724,plain,
% 25.17/25.33 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.33 inference(modus_ponens,[status(thm)],[723, 716])).
% 25.17/25.33 tff(725,plain,
% 25.17/25.33 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.17/25.33 inference(rewrite,[status(thm)],[])).
% 25.17/25.33 tff(726,plain,
% 25.17/25.33 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.17/25.33 inference(rewrite,[status(thm)],[])).
% 25.17/25.33 tff(727,plain,
% 25.17/25.33 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.17/25.33 inference(monotonicity,[status(thm)],[726])).
% 25.17/25.33 tff(728,plain,
% 25.17/25.33 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.17/25.33 inference(transitivity,[status(thm)],[727, 725])).
% 25.17/25.33 tff(729,plain,
% 25.17/25.33 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.34 inference(quant_inst,[status(thm)],[])).
% 25.17/25.34 tff(730,plain,
% 25.17/25.34 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 25.17/25.34 inference(modus_ponens,[status(thm)],[729, 728])).
% 25.17/25.34 tff(731,plain,
% 25.17/25.34 ($false),
% 25.17/25.34 inference(unit_resolution,[status(thm)],[730, 19, 724, 23, 41, 77, 59, 95, 253, 261, 269, 714, 277, 713])).
% 25.17/25.34 tff(732,plain,(~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.17/25.34 tff(733,assumption,(~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.17/25.34 tff(734,assumption,(~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.17/25.34 tff(735,assumption,(~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.17/25.34 tff(736,plain,
% 25.17/25.34 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.34 inference(bind,[status(th)],[])).
% 25.17/25.34 tff(737,plain,
% 25.17/25.34 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 25.17/25.34 inference(quant_intro,[status(thm)],[736])).
% 25.17/25.34 tff(738,plain,
% 25.17/25.34 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 25.17/25.34 inference(rewrite,[status(thm)],[])).
% 25.17/25.34 tff(739,plain,
% 25.17/25.34 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), ((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), (((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.17/25.34 inference(bind,[status(th)],[])).
% 25.17/25.34 tff(740,plain,
% 25.17/25.34 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 25.17/25.34 inference(quant_intro,[status(thm)],[739])).
% 25.17/25.34 tff(741,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause189')).
% 25.17/25.34 tff(742,plain,
% 25.17/25.34 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 25.17/25.34 inference(modus_ponens,[status(thm)],[741, 740])).
% 25.17/25.34 tff(743,plain,
% 25.17/25.34 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 25.17/25.34 inference(modus_ponens,[status(thm)],[742, 738])).
% 25.17/25.34 tff(744,plain,(
% 25.17/25.34 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 25.17/25.34 inference(skolemize,[status(sab)],[743])).
% 25.17/25.34 tff(745,plain,
% 25.17/25.34 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 25.17/25.34 inference(modus_ponens,[status(thm)],[744, 737])).
% 25.17/25.34 tff(746,plain,
% 25.17/25.34 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.17/25.34 inference(rewrite,[status(thm)],[])).
% 25.17/25.34 tff(747,plain,
% 25.17/25.34 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.17/25.34 inference(rewrite,[status(thm)],[])).
% 25.17/25.34 tff(748,plain,
% 25.17/25.34 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.34 inference(monotonicity,[status(thm)],[747])).
% 25.17/25.34 tff(749,plain,
% 25.17/25.34 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.17/25.35 inference(transitivity,[status(thm)],[748, 746])).
% 25.17/25.35 tff(750,plain,
% 25.17/25.35 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.17/25.35 inference(quant_inst,[status(thm)],[])).
% 25.17/25.35 tff(751,plain,
% 25.17/25.35 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 25.17/25.35 inference(modus_ponens,[status(thm)],[750, 749])).
% 25.17/25.35 tff(752,plain,
% 25.17/25.35 (ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 25.17/25.35 inference(unit_resolution,[status(thm)],[751, 19, 745, 23, 41, 77, 59, 95, 253, 261, 269, 277, 735])).
% 25.17/25.35 tff(753,plain,
% 25.17/25.35 (ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 25.17/25.35 inference(unit_resolution,[status(thm)],[752, 734, 733])).
% 25.17/25.35 tff(754,assumption,(~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.17/25.35 tff(755,plain,
% 25.17/25.35 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.17/25.35 inference(bind,[status(th)],[])).
% 25.17/25.35 tff(756,plain,
% 25.17/25.35 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.35 inference(quant_intro,[status(thm)],[755])).
% 25.17/25.35 tff(757,plain,
% 25.17/25.35 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.35 inference(rewrite,[status(thm)],[])).
% 25.17/25.35 tff(758,plain,
% 25.17/25.35 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.17/25.35 inference(bind,[status(th)],[])).
% 25.17/25.35 tff(759,plain,
% 25.17/25.35 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.35 inference(quant_intro,[status(thm)],[758])).
% 25.17/25.35 tff(760,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause190')).
% 25.17/25.35 tff(761,plain,
% 25.17/25.35 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.35 inference(modus_ponens,[status(thm)],[760, 759])).
% 25.17/25.35 tff(762,plain,
% 25.17/25.35 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.35 inference(modus_ponens,[status(thm)],[761, 757])).
% 25.17/25.35 tff(763,plain,(
% 25.17/25.35 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.35 inference(skolemize,[status(sab)],[762])).
% 25.17/25.35 tff(764,plain,
% 25.17/25.35 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.35 inference(modus_ponens,[status(thm)],[763, 756])).
% 25.17/25.35 tff(765,plain,
% 25.17/25.35 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.35 inference(rewrite,[status(thm)],[])).
% 25.17/25.35 tff(766,plain,
% 25.17/25.35 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.35 inference(rewrite,[status(thm)],[])).
% 25.17/25.35 tff(767,plain,
% 25.17/25.35 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))))),
% 25.17/25.36 inference(monotonicity,[status(thm)],[766])).
% 25.17/25.36 tff(768,plain,
% 25.17/25.36 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.36 inference(transitivity,[status(thm)],[767, 765])).
% 25.17/25.36 tff(769,plain,
% 25.17/25.36 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.36 inference(quant_inst,[status(thm)],[])).
% 25.17/25.36 tff(770,plain,
% 25.17/25.36 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.17/25.36 inference(modus_ponens,[status(thm)],[769, 768])).
% 25.17/25.36 tff(771,plain,
% 25.17/25.36 (ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.17/25.36 inference(unit_resolution,[status(thm)],[770, 19, 764, 23, 41, 77, 59, 95, 253, 261, 269, 754, 277])).
% 25.17/25.36 tff(772,plain,
% 25.17/25.36 ($false),
% 25.17/25.36 inference(unit_resolution,[status(thm)],[771, 753, 734, 733])).
% 25.17/25.36 tff(773,plain,(ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.17/25.36 tff(774,plain,
% 25.17/25.36 (ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 25.17/25.36 inference(unit_resolution,[status(thm)],[773, 732, 679, 608])).
% 25.17/25.36 tff(775,assumption,(~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.17/25.36 tff(776,assumption,(ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.17/25.36 tff(777,plain,
% 25.17/25.36 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.17/25.36 inference(bind,[status(th)],[])).
% 25.17/25.36 tff(778,plain,
% 25.17/25.36 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.36 inference(quant_intro,[status(thm)],[777])).
% 25.17/25.36 tff(779,plain,
% 25.17/25.36 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.36 inference(rewrite,[status(thm)],[])).
% 25.17/25.36 tff(780,plain,
% 25.17/25.36 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.17/25.36 inference(bind,[status(th)],[])).
% 25.17/25.36 tff(781,plain,
% 25.17/25.36 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.36 inference(quant_intro,[status(thm)],[780])).
% 25.17/25.36 tff(782,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause167')).
% 25.17/25.36 tff(783,plain,
% 25.17/25.36 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.36 inference(modus_ponens,[status(thm)],[782, 781])).
% 25.17/25.36 tff(784,plain,
% 25.17/25.36 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.36 inference(modus_ponens,[status(thm)],[783, 779])).
% 25.17/25.36 tff(785,plain,(
% 25.17/25.36 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.36 inference(skolemize,[status(sab)],[784])).
% 25.17/25.36 tff(786,plain,
% 25.17/25.36 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.17/25.36 inference(modus_ponens,[status(thm)],[785, 778])).
% 25.17/25.36 tff(787,plain,
% 25.17/25.36 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.36 inference(rewrite,[status(thm)],[])).
% 25.17/25.36 tff(788,plain,
% 25.17/25.36 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.37 inference(rewrite,[status(thm)],[])).
% 25.17/25.37 tff(789,plain,
% 25.17/25.37 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))))),
% 25.17/25.37 inference(monotonicity,[status(thm)],[788])).
% 25.17/25.37 tff(790,plain,
% 25.17/25.37 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.37 inference(transitivity,[status(thm)],[789, 787])).
% 25.17/25.37 tff(791,plain,
% 25.17/25.37 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.17/25.37 inference(quant_inst,[status(thm)],[])).
% 25.17/25.37 tff(792,plain,
% 25.17/25.37 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.17/25.37 inference(modus_ponens,[status(thm)],[791, 790])).
% 25.17/25.37 tff(793,plain,
% 25.17/25.37 ($false),
% 25.17/25.37 inference(unit_resolution,[status(thm)],[792, 19, 786, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 776, 775])).
% 25.17/25.37 tff(794,plain,(ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.17/25.37 tff(795,plain,
% 25.17/25.37 (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)),
% 25.17/25.37 inference(unit_resolution,[status(thm)],[794, 774])).
% 25.17/25.37 tff(796,assumption,(~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.17/25.37 tff(797,assumption,(ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.17/25.37 tff(798,plain,
% 25.17/25.37 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 25.17/25.37 inference(bind,[status(th)],[])).
% 25.17/25.37 tff(799,plain,
% 25.17/25.37 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.17/25.37 inference(quant_intro,[status(thm)],[798])).
% 25.17/25.37 tff(800,plain,
% 25.17/25.37 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.17/25.37 inference(rewrite,[status(thm)],[])).
% 25.17/25.37 tff(801,plain,
% 25.17/25.37 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 25.17/25.37 inference(bind,[status(th)],[])).
% 25.17/25.37 tff(802,plain,
% 25.17/25.37 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.17/25.37 inference(quant_intro,[status(thm)],[801])).
% 25.17/25.37 tff(803,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause205')).
% 25.17/25.37 tff(804,plain,
% 25.17/25.37 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.17/25.37 inference(modus_ponens,[status(thm)],[803, 802])).
% 25.17/25.37 tff(805,plain,
% 25.17/25.37 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.17/25.37 inference(modus_ponens,[status(thm)],[804, 800])).
% 25.17/25.37 tff(806,plain,(
% 25.17/25.37 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.17/25.37 inference(skolemize,[status(sab)],[805])).
% 25.17/25.37 tff(807,plain,
% 25.17/25.37 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.17/25.37 inference(modus_ponens,[status(thm)],[806, 799])).
% 25.17/25.37 tff(808,plain,
% 25.17/25.37 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.23/25.38 inference(rewrite,[status(thm)],[])).
% 25.23/25.38 tff(809,plain,
% 25.23/25.38 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.23/25.38 inference(rewrite,[status(thm)],[])).
% 25.23/25.38 tff(810,plain,
% 25.23/25.38 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))))),
% 25.23/25.38 inference(monotonicity,[status(thm)],[809])).
% 25.23/25.38 tff(811,plain,
% 25.23/25.38 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.23/25.38 inference(transitivity,[status(thm)],[810, 808])).
% 25.23/25.38 tff(812,plain,
% 25.23/25.38 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.23/25.38 inference(quant_inst,[status(thm)],[])).
% 25.23/25.38 tff(813,plain,
% 25.23/25.38 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.23/25.38 inference(modus_ponens,[status(thm)],[812, 811])).
% 25.23/25.38 tff(814,plain,
% 25.23/25.38 ($false),
% 25.23/25.38 inference(unit_resolution,[status(thm)],[813, 19, 807, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 797, 796])).
% 25.23/25.38 tff(815,plain,(ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.23/25.38 tff(816,plain,
% 25.23/25.38 (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.23/25.38 inference(unit_resolution,[status(thm)],[815, 795])).
% 25.23/25.38 tff(817,assumption,(ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.23/25.38 tff(818,assumption,(~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.23/25.38 tff(819,plain,
% 25.23/25.38 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.23/25.38 inference(bind,[status(th)],[])).
% 25.23/25.38 tff(820,plain,
% 25.23/25.38 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.38 inference(quant_intro,[status(thm)],[819])).
% 25.23/25.38 tff(821,plain,
% 25.23/25.38 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.38 inference(rewrite,[status(thm)],[])).
% 25.23/25.38 tff(822,plain,
% 25.23/25.38 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.23/25.39 inference(bind,[status(th)],[])).
% 25.23/25.39 tff(823,plain,
% 25.23/25.39 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.39 inference(quant_intro,[status(thm)],[822])).
% 25.23/25.39 tff(824,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause223')).
% 25.23/25.39 tff(825,plain,
% 25.23/25.39 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.39 inference(modus_ponens,[status(thm)],[824, 823])).
% 25.23/25.39 tff(826,plain,
% 25.23/25.39 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.39 inference(modus_ponens,[status(thm)],[825, 821])).
% 25.23/25.39 tff(827,plain,(
% 25.23/25.39 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.39 inference(skolemize,[status(sab)],[826])).
% 25.23/25.39 tff(828,plain,
% 25.23/25.39 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.39 inference(modus_ponens,[status(thm)],[827, 820])).
% 25.23/25.39 tff(829,plain,
% 25.23/25.39 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.23/25.39 inference(rewrite,[status(thm)],[])).
% 25.23/25.39 tff(830,plain,
% 25.23/25.39 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.23/25.39 inference(rewrite,[status(thm)],[])).
% 25.23/25.39 tff(831,plain,
% 25.23/25.39 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))))),
% 25.23/25.39 inference(monotonicity,[status(thm)],[830])).
% 25.23/25.39 tff(832,plain,
% 25.23/25.39 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.23/25.39 inference(transitivity,[status(thm)],[831, 829])).
% 25.23/25.39 tff(833,plain,
% 25.23/25.39 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.23/25.40 inference(quant_inst,[status(thm)],[])).
% 25.23/25.40 tff(834,plain,
% 25.23/25.40 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.23/25.40 inference(modus_ponens,[status(thm)],[833, 832])).
% 25.23/25.40 tff(835,plain,
% 25.23/25.40 ($false),
% 25.23/25.40 inference(unit_resolution,[status(thm)],[834, 19, 828, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 302, 818, 817])).
% 25.23/25.40 tff(836,plain,(ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.23/25.40 tff(837,plain,
% 25.23/25.40 (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)),
% 25.23/25.40 inference(unit_resolution,[status(thm)],[836, 816])).
% 25.23/25.40 tff(838,plain,
% 25.23/25.40 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 25.23/25.40 inference(bind,[status(th)],[])).
% 25.23/25.40 tff(839,plain,
% 25.23/25.40 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.40 inference(quant_intro,[status(thm)],[838])).
% 25.23/25.40 tff(840,plain,
% 25.23/25.40 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.40 inference(rewrite,[status(thm)],[])).
% 25.23/25.40 tff(841,plain,
% 25.23/25.40 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 25.23/25.40 inference(bind,[status(th)],[])).
% 25.23/25.40 tff(842,plain,
% 25.23/25.40 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.40 inference(quant_intro,[status(thm)],[841])).
% 25.23/25.40 tff(843,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause267')).
% 25.23/25.40 tff(844,plain,
% 25.23/25.40 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.40 inference(modus_ponens,[status(thm)],[843, 842])).
% 25.23/25.40 tff(845,plain,
% 25.23/25.40 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.40 inference(modus_ponens,[status(thm)],[844, 840])).
% 25.23/25.40 tff(846,plain,(
% 25.23/25.40 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.40 inference(skolemize,[status(sab)],[845])).
% 25.23/25.40 tff(847,plain,
% 25.23/25.40 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.40 inference(modus_ponens,[status(thm)],[846, 839])).
% 25.23/25.40 tff(848,plain,
% 25.23/25.40 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))),
% 25.23/25.40 inference(rewrite,[status(thm)],[])).
% 25.23/25.40 tff(849,plain,
% 25.23/25.40 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))),
% 25.23/25.41 inference(rewrite,[status(thm)],[])).
% 25.23/25.41 tff(850,plain,
% 25.23/25.41 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))))),
% 25.23/25.41 inference(monotonicity,[status(thm)],[849])).
% 25.23/25.41 tff(851,plain,
% 25.23/25.41 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))),
% 25.23/25.41 inference(transitivity,[status(thm)],[850, 848])).
% 25.23/25.41 tff(852,plain,
% 25.23/25.41 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))),
% 25.23/25.41 inference(quant_inst,[status(thm)],[])).
% 25.23/25.41 tff(853,plain,
% 25.23/25.41 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))),
% 25.23/25.41 inference(modus_ponens,[status(thm)],[852, 851])).
% 25.23/25.41 tff(854,plain,
% 25.23/25.41 (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)),
% 25.23/25.41 inference(unit_resolution,[status(thm)],[853, 19, 847, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 302, 494, 837])).
% 25.23/25.41 tff(855,plain,
% 25.23/25.41 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.23/25.41 inference(bind,[status(th)],[])).
% 25.23/25.41 tff(856,plain,
% 25.23/25.41 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.23/25.41 inference(quant_intro,[status(thm)],[855])).
% 25.23/25.41 tff(857,plain,
% 25.23/25.41 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.23/25.41 inference(rewrite,[status(thm)],[])).
% 25.23/25.41 tff(858,plain,
% 25.23/25.41 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), (((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 25.23/25.42 inference(bind,[status(th)],[])).
% 25.23/25.42 tff(859,plain,
% 25.23/25.42 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.23/25.42 inference(quant_intro,[status(thm)],[858])).
% 25.23/25.42 tff(860,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause331')).
% 25.23/25.42 tff(861,plain,
% 25.23/25.42 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.23/25.42 inference(modus_ponens,[status(thm)],[860, 859])).
% 25.23/25.42 tff(862,plain,
% 25.23/25.42 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.23/25.42 inference(modus_ponens,[status(thm)],[861, 857])).
% 25.23/25.42 tff(863,plain,(
% 25.23/25.42 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.23/25.42 inference(skolemize,[status(sab)],[862])).
% 25.23/25.42 tff(864,plain,
% 25.23/25.42 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.23/25.42 inference(modus_ponens,[status(thm)],[863, 856])).
% 25.23/25.42 tff(865,plain,
% 25.23/25.42 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 25.23/25.42 inference(rewrite,[status(thm)],[])).
% 25.23/25.42 tff(866,plain,
% 25.23/25.42 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 25.23/25.42 inference(rewrite,[status(thm)],[])).
% 25.23/25.42 tff(867,plain,
% 25.23/25.42 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))))),
% 25.23/25.43 inference(monotonicity,[status(thm)],[866])).
% 25.23/25.43 tff(868,plain,
% 25.23/25.43 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 25.23/25.43 inference(transitivity,[status(thm)],[867, 865])).
% 25.23/25.43 tff(869,plain,
% 25.23/25.43 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))),
% 25.23/25.43 inference(quant_inst,[status(thm)],[])).
% 25.23/25.43 tff(870,plain,
% 25.23/25.43 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))),
% 25.23/25.43 inference(modus_ponens,[status(thm)],[869, 868])).
% 25.23/25.43 tff(871,plain,
% 25.23/25.43 (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))),
% 25.23/25.43 inference(unit_resolution,[status(thm)],[870, 19, 864, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 302, 494, 854])).
% 25.23/25.43 tff(872,plain,
% 25.23/25.43 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))),
% 25.23/25.43 inference(unit_resolution,[status(thm)],[871, 512])).
% 25.23/25.43 tff(873,plain,
% 25.23/25.43 (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)),
% 25.23/25.43 inference(unit_resolution,[status(thm)],[872, 307])).
% 25.23/25.43 tff(874,assumption,(~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)), introduced(assumption)).
% 25.23/25.43 tff(875,assumption,(ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.23/25.43 tff(876,plain,
% 25.23/25.43 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 25.23/25.43 inference(bind,[status(th)],[])).
% 25.23/25.43 tff(877,plain,
% 25.23/25.43 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.43 inference(quant_intro,[status(thm)],[876])).
% 25.23/25.43 tff(878,plain,
% 25.23/25.43 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.43 inference(rewrite,[status(thm)],[])).
% 25.23/25.43 tff(879,plain,
% 25.23/25.43 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 25.23/25.44 inference(bind,[status(th)],[])).
% 25.23/25.44 tff(880,plain,
% 25.23/25.44 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.44 inference(quant_intro,[status(thm)],[879])).
% 25.23/25.44 tff(881,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause261')).
% 25.23/25.44 tff(882,plain,
% 25.23/25.44 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.44 inference(modus_ponens,[status(thm)],[881, 880])).
% 25.23/25.44 tff(883,plain,
% 25.23/25.44 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.44 inference(modus_ponens,[status(thm)],[882, 878])).
% 25.23/25.44 tff(884,plain,(
% 25.23/25.44 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.44 inference(skolemize,[status(sab)],[883])).
% 25.23/25.44 tff(885,plain,
% 25.23/25.44 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.23/25.44 inference(modus_ponens,[status(thm)],[884, 877])).
% 25.23/25.44 tff(886,plain,
% 25.23/25.44 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))),
% 25.23/25.44 inference(rewrite,[status(thm)],[])).
% 25.23/25.44 tff(887,plain,
% 25.23/25.44 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))),
% 25.23/25.44 inference(rewrite,[status(thm)],[])).
% 25.23/25.44 tff(888,plain,
% 25.23/25.44 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)))),
% 25.23/25.44 inference(monotonicity,[status(thm)],[887])).
% 25.23/25.44 tff(889,plain,
% 25.23/25.44 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21))),
% 25.23/25.44 inference(transitivity,[status(thm)],[888, 886])).
% 25.23/25.44 tff(890,plain,
% 25.23/25.44 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)))),
% 25.23/25.45 inference(quant_inst,[status(thm)],[])).
% 25.23/25.45 tff(891,plain,
% 25.23/25.45 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21)),
% 25.23/25.45 inference(modus_ponens,[status(thm)],[890, 889])).
% 25.23/25.45 tff(892,plain,
% 25.23/25.45 ($false),
% 25.23/25.45 inference(unit_resolution,[status(thm)],[891, 19, 885, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 302, 494, 875, 874])).
% 25.23/25.45 tff(893,plain,(ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24, skc21) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.23/25.45 tff(894,plain,
% 25.23/25.45 (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)),
% 25.23/25.45 inference(unit_resolution,[status(thm)],[893, 873])).
% 25.23/25.45 tff(895,assumption,(~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.23/25.45 tff(896,assumption,(ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.23/25.45 tff(897,plain,
% 25.23/25.45 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.23/25.45 inference(bind,[status(th)],[])).
% 25.23/25.45 tff(898,plain,
% 25.23/25.45 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.45 inference(quant_intro,[status(thm)],[897])).
% 25.23/25.45 tff(899,plain,
% 25.23/25.45 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.45 inference(rewrite,[status(thm)],[])).
% 25.23/25.45 tff(900,plain,
% 25.23/25.45 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.23/25.45 inference(bind,[status(th)],[])).
% 25.23/25.45 tff(901,plain,
% 25.23/25.45 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.45 inference(quant_intro,[status(thm)],[900])).
% 25.23/25.45 tff(902,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause241')).
% 25.23/25.45 tff(903,plain,
% 25.23/25.45 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.45 inference(modus_ponens,[status(thm)],[902, 901])).
% 25.23/25.45 tff(904,plain,
% 25.23/25.45 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.45 inference(modus_ponens,[status(thm)],[903, 899])).
% 25.23/25.45 tff(905,plain,(
% 25.23/25.45 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.45 inference(skolemize,[status(sab)],[904])).
% 25.23/25.45 tff(906,plain,
% 25.23/25.45 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.23/25.45 inference(modus_ponens,[status(thm)],[905, 898])).
% 25.23/25.45 tff(907,plain,
% 25.23/25.45 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.23/25.45 inference(rewrite,[status(thm)],[])).
% 25.23/25.45 tff(908,plain,
% 25.23/25.45 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.23/25.46 inference(rewrite,[status(thm)],[])).
% 25.23/25.46 tff(909,plain,
% 25.23/25.46 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))))),
% 25.23/25.46 inference(monotonicity,[status(thm)],[908])).
% 25.23/25.46 tff(910,plain,
% 25.23/25.46 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.23/25.46 inference(transitivity,[status(thm)],[909, 907])).
% 25.23/25.46 tff(911,plain,
% 25.23/25.46 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.23/25.46 inference(quant_inst,[status(thm)],[])).
% 25.23/25.46 tff(912,plain,
% 25.23/25.46 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.23/25.46 inference(modus_ponens,[status(thm)],[911, 910])).
% 25.23/25.46 tff(913,plain,
% 25.23/25.46 ($false),
% 25.23/25.46 inference(unit_resolution,[status(thm)],[912, 19, 906, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 302, 896, 895])).
% 25.23/25.46 tff(914,plain,(ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc24) | (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.23/25.46 tff(915,plain,
% 25.23/25.46 (~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.23/25.46 inference(unit_resolution,[status(thm)],[914, 894])).
% 25.23/25.46 tff(916,assumption,(~ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.23/25.46 tff(917,assumption,(ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.23/25.46 tff(918,plain,
% 25.23/25.46 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 25.23/25.46 inference(bind,[status(th)],[])).
% 25.23/25.46 tff(919,plain,
% 25.23/25.46 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.23/25.46 inference(quant_intro,[status(thm)],[918])).
% 25.23/25.46 tff(920,plain,
% 25.23/25.46 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.23/25.46 inference(rewrite,[status(thm)],[])).
% 25.23/25.46 tff(921,plain,
% 25.23/25.46 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 25.23/25.47 inference(bind,[status(th)],[])).
% 25.23/25.47 tff(922,plain,
% 25.23/25.47 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.23/25.47 inference(quant_intro,[status(thm)],[921])).
% 25.23/25.47 tff(923,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause199')).
% 25.23/25.47 tff(924,plain,
% 25.23/25.47 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.23/25.47 inference(modus_ponens,[status(thm)],[923, 922])).
% 25.23/25.47 tff(925,plain,
% 25.23/25.47 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.23/25.47 inference(modus_ponens,[status(thm)],[924, 920])).
% 25.23/25.47 tff(926,plain,(
% 25.23/25.47 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.23/25.47 inference(skolemize,[status(sab)],[925])).
% 25.23/25.47 tff(927,plain,
% 25.23/25.47 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.23/25.47 inference(modus_ponens,[status(thm)],[926, 919])).
% 25.23/25.47 tff(928,plain,
% 25.23/25.47 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.23/25.47 inference(rewrite,[status(thm)],[])).
% 25.23/25.47 tff(929,plain,
% 25.23/25.47 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.23/25.47 inference(rewrite,[status(thm)],[])).
% 25.23/25.47 tff(930,plain,
% 25.23/25.47 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))))),
% 25.23/25.47 inference(monotonicity,[status(thm)],[929])).
% 25.23/25.47 tff(931,plain,
% 25.23/25.47 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.32/25.47 inference(transitivity,[status(thm)],[930, 928])).
% 25.32/25.47 tff(932,plain,
% 25.32/25.47 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.32/25.47 inference(quant_inst,[status(thm)],[])).
% 25.32/25.47 tff(933,plain,
% 25.32/25.47 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.32/25.47 inference(modus_ponens,[status(thm)],[932, 931])).
% 25.32/25.47 tff(934,plain,
% 25.32/25.47 ($false),
% 25.32/25.47 inference(unit_resolution,[status(thm)],[933, 19, 927, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 294, 917, 916])).
% 25.32/25.47 tff(935,plain,(ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.32/25.47 tff(936,plain,
% 25.32/25.47 (~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)),
% 25.32/25.47 inference(unit_resolution,[status(thm)],[935, 915])).
% 25.32/25.47 tff(937,assumption,(~ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.32/25.47 tff(938,assumption,(ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.32/25.47 tff(939,plain,
% 25.32/25.47 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.32/25.47 inference(bind,[status(th)],[])).
% 25.32/25.47 tff(940,plain,
% 25.32/25.47 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.32/25.47 inference(quant_intro,[status(thm)],[939])).
% 25.32/25.47 tff(941,plain,
% 25.32/25.47 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.32/25.48 inference(rewrite,[status(thm)],[])).
% 25.32/25.48 tff(942,plain,
% 25.32/25.48 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.32/25.48 inference(bind,[status(th)],[])).
% 25.32/25.48 tff(943,plain,
% 25.32/25.48 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.32/25.48 inference(quant_intro,[status(thm)],[942])).
% 25.32/25.48 tff(944,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause181')).
% 25.32/25.48 tff(945,plain,
% 25.32/25.48 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.32/25.48 inference(modus_ponens,[status(thm)],[944, 943])).
% 25.32/25.48 tff(946,plain,
% 25.32/25.48 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.32/25.48 inference(modus_ponens,[status(thm)],[945, 941])).
% 25.32/25.48 tff(947,plain,(
% 25.32/25.48 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.32/25.48 inference(skolemize,[status(sab)],[946])).
% 25.32/25.48 tff(948,plain,
% 25.32/25.48 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.32/25.48 inference(modus_ponens,[status(thm)],[947, 940])).
% 25.32/25.48 tff(949,plain,
% 25.32/25.48 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.32/25.48 inference(rewrite,[status(thm)],[])).
% 25.32/25.48 tff(950,plain,
% 25.32/25.48 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.32/25.48 inference(rewrite,[status(thm)],[])).
% 25.32/25.48 tff(951,plain,
% 25.32/25.48 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.32/25.48 inference(monotonicity,[status(thm)],[950])).
% 25.32/25.48 tff(952,plain,
% 25.32/25.48 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.32/25.48 inference(transitivity,[status(thm)],[951, 949])).
% 25.32/25.48 tff(953,plain,
% 25.32/25.48 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.32/25.48 inference(quant_inst,[status(thm)],[])).
% 25.32/25.48 tff(954,plain,
% 25.32/25.48 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)),
% 25.32/25.49 inference(modus_ponens,[status(thm)],[953, 952])).
% 25.32/25.49 tff(955,plain,
% 25.32/25.49 ($false),
% 25.32/25.49 inference(unit_resolution,[status(thm)],[954, 19, 948, 23, 41, 77, 59, 95, 253, 261, 269, 286, 277, 938, 937])).
% 25.32/25.49 tff(956,plain,(ssPv17_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.32/25.49 tff(957,plain,
% 25.32/25.49 (~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 25.32/25.49 inference(unit_resolution,[status(thm)],[956, 936])).
% 25.32/25.49 tff(958,assumption,(ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.32/25.49 tff(959,assumption,(~ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.32/25.49 tff(960,plain,
% 25.32/25.49 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 25.32/25.49 inference(bind,[status(th)],[])).
% 25.32/25.49 tff(961,plain,
% 25.32/25.49 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.32/25.49 inference(quant_intro,[status(thm)],[960])).
% 25.32/25.49 tff(962,plain,
% 25.32/25.49 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.32/25.49 inference(rewrite,[status(thm)],[])).
% 25.32/25.49 tff(963,plain,
% 25.32/25.49 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 25.32/25.49 inference(bind,[status(th)],[])).
% 25.32/25.49 tff(964,plain,
% 25.32/25.49 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.32/25.49 inference(quant_intro,[status(thm)],[963])).
% 25.32/25.49 tff(965,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause148')).
% 25.32/25.49 tff(966,plain,
% 25.32/25.49 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.32/25.49 inference(modus_ponens,[status(thm)],[965, 964])).
% 25.32/25.49 tff(967,plain,
% 25.32/25.49 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.32/25.49 inference(modus_ponens,[status(thm)],[966, 962])).
% 25.32/25.49 tff(968,plain,(
% 25.32/25.49 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.32/25.49 inference(skolemize,[status(sab)],[967])).
% 25.32/25.49 tff(969,plain,
% 25.32/25.49 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.32/25.49 inference(modus_ponens,[status(thm)],[968, 961])).
% 25.32/25.49 tff(970,plain,
% 25.32/25.49 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.32/25.49 inference(rewrite,[status(thm)],[])).
% 25.32/25.49 tff(971,plain,
% 25.32/25.49 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.32/25.49 inference(rewrite,[status(thm)],[])).
% 25.32/25.49 tff(972,plain,
% 25.32/25.49 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 25.32/25.49 inference(monotonicity,[status(thm)],[971])).
% 25.32/25.49 tff(973,plain,
% 25.32/25.49 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 25.32/25.49 inference(transitivity,[status(thm)],[972, 970])).
% 25.32/25.49 tff(974,plain,
% 25.32/25.49 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.32/25.49 inference(quant_inst,[status(thm)],[])).
% 25.32/25.49 tff(975,plain,
% 25.32/25.49 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 25.32/25.49 inference(modus_ponens,[status(thm)],[974, 973])).
% 25.32/25.49 tff(976,plain,
% 25.35/25.50 ($false),
% 25.35/25.50 inference(unit_resolution,[status(thm)],[975, 19, 969, 23, 41, 77, 59, 95, 253, 261, 269, 277, 959, 958])).
% 25.35/25.50 tff(977,plain,(ssPv17_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.35/25.50 tff(978,plain,
% 25.35/25.50 (~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 25.35/25.50 inference(unit_resolution,[status(thm)],[977, 957])).
% 25.35/25.50 tff(979,assumption,(~ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.35/25.50 tff(980,assumption,(ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 25.35/25.50 tff(981,plain,
% 25.35/25.50 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 25.35/25.50 inference(bind,[status(th)],[])).
% 25.35/25.50 tff(982,plain,
% 25.35/25.50 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.35/25.50 inference(quant_intro,[status(thm)],[981])).
% 25.35/25.50 tff(983,plain,
% 25.35/25.50 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.35/25.50 inference(rewrite,[status(thm)],[])).
% 25.35/25.50 tff(984,plain,
% 25.35/25.50 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 25.35/25.50 inference(bind,[status(th)],[])).
% 25.35/25.50 tff(985,plain,
% 25.35/25.50 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.35/25.50 inference(quant_intro,[status(thm)],[984])).
% 25.35/25.50 tff(986,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause135')).
% 25.35/25.50 tff(987,plain,
% 25.35/25.50 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.35/25.50 inference(modus_ponens,[status(thm)],[986, 985])).
% 25.35/25.50 tff(988,plain,
% 25.35/25.50 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.35/25.50 inference(modus_ponens,[status(thm)],[987, 983])).
% 25.35/25.50 tff(989,plain,(
% 25.35/25.50 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.35/25.50 inference(skolemize,[status(sab)],[988])).
% 25.35/25.50 tff(990,plain,
% 25.35/25.50 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.35/25.50 inference(modus_ponens,[status(thm)],[989, 982])).
% 25.35/25.50 tff(991,plain,
% 25.35/25.50 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.35/25.50 inference(rewrite,[status(thm)],[])).
% 25.35/25.50 tff(992,plain,
% 25.35/25.50 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.35/25.50 inference(rewrite,[status(thm)],[])).
% 25.35/25.50 tff(993,plain,
% 25.35/25.50 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 25.35/25.50 inference(monotonicity,[status(thm)],[992])).
% 25.35/25.50 tff(994,plain,
% 25.35/25.50 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 25.35/25.50 inference(transitivity,[status(thm)],[993, 991])).
% 25.35/25.50 tff(995,plain,
% 25.35/25.50 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.35/25.50 inference(quant_inst,[status(thm)],[])).
% 25.35/25.50 tff(996,plain,
% 25.35/25.50 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv17_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 25.35/25.50 inference(modus_ponens,[status(thm)],[995, 994])).
% 25.35/25.50 tff(997,plain,
% 25.35/25.50 ($false),
% 25.35/25.50 inference(unit_resolution,[status(thm)],[996, 19, 990, 23, 41, 77, 59, 95, 253, 261, 269, 980, 979])).
% 25.35/25.50 tff(998,plain,(ssPv17_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))), inference(lemma,lemma(discharge,[]))).
% 25.35/25.50 tff(999,plain,
% 25.35/25.50 (~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 25.35/25.50 inference(unit_resolution,[status(thm)],[998, 978])).
% 25.35/25.50 tff(1000,assumption,(~ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 25.35/25.50 tff(1001,assumption,(ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), introduced(assumption)).
% 25.35/25.50 tff(1002,plain,
% 25.35/25.50 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 25.35/25.50 inference(bind,[status(th)],[])).
% 25.35/25.50 tff(1003,plain,
% 25.35/25.50 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.35/25.50 inference(quant_intro,[status(thm)],[1002])).
% 25.35/25.50 tff(1004,plain,
% 25.35/25.50 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.35/25.50 inference(rewrite,[status(thm)],[])).
% 25.35/25.50 tff(1005,plain,
% 25.35/25.50 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 25.35/25.51 inference(bind,[status(th)],[])).
% 25.35/25.51 tff(1006,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.35/25.51 inference(quant_intro,[status(thm)],[1005])).
% 25.35/25.51 tff(1007,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause108')).
% 25.35/25.51 tff(1008,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.35/25.51 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 25.35/25.51 tff(1009,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.35/25.51 inference(modus_ponens,[status(thm)],[1008, 1004])).
% 25.35/25.51 tff(1010,plain,(
% 25.35/25.51 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.35/25.51 inference(skolemize,[status(sab)],[1009])).
% 25.35/25.51 tff(1011,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.35/25.51 inference(modus_ponens,[status(thm)],[1010, 1003])).
% 25.35/25.51 tff(1012,plain,
% 25.35/25.51 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 25.35/25.51 inference(rewrite,[status(thm)],[])).
% 25.35/25.51 tff(1013,plain,
% 25.35/25.51 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 25.35/25.51 inference(rewrite,[status(thm)],[])).
% 25.35/25.51 tff(1014,plain,
% 25.35/25.51 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 25.35/25.51 inference(monotonicity,[status(thm)],[1013])).
% 25.35/25.51 tff(1015,plain,
% 25.35/25.51 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 25.35/25.51 inference(transitivity,[status(thm)],[1014, 1012])).
% 25.35/25.51 tff(1016,plain,
% 25.35/25.51 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.35/25.51 inference(quant_inst,[status(thm)],[])).
% 25.35/25.51 tff(1017,plain,
% 25.35/25.51 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv17_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 25.35/25.51 inference(modus_ponens,[status(thm)],[1016, 1015])).
% 25.35/25.51 tff(1018,plain,
% 25.35/25.51 ($false),
% 25.35/25.51 inference(unit_resolution,[status(thm)],[1017, 19, 1011, 23, 41, 77, 59, 95, 253, 261, 1001, 1000])).
% 25.35/25.51 tff(1019,plain,(ssPv17_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))), inference(lemma,lemma(discharge,[]))).
% 25.35/25.51 tff(1020,plain,
% 25.35/25.51 (~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 25.35/25.51 inference(unit_resolution,[status(thm)],[1019, 999])).
% 25.35/25.51 tff(1021,assumption,(~ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), introduced(assumption)).
% 25.35/25.51 tff(1022,assumption,(ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), introduced(assumption)).
% 25.35/25.51 tff(1023,plain,
% 25.35/25.51 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 25.35/25.51 inference(bind,[status(th)],[])).
% 25.35/25.51 tff(1024,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.51 inference(quant_intro,[status(thm)],[1023])).
% 25.35/25.51 tff(1025,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.51 inference(rewrite,[status(thm)],[])).
% 25.35/25.51 tff(1026,plain,
% 25.35/25.51 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 25.35/25.51 inference(bind,[status(th)],[])).
% 25.35/25.51 tff(1027,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.51 inference(quant_intro,[status(thm)],[1026])).
% 25.35/25.51 tff(1028,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause85')).
% 25.35/25.51 tff(1029,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.51 inference(modus_ponens,[status(thm)],[1028, 1027])).
% 25.35/25.51 tff(1030,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.51 inference(modus_ponens,[status(thm)],[1029, 1025])).
% 25.35/25.51 tff(1031,plain,(
% 25.35/25.51 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.51 inference(skolemize,[status(sab)],[1030])).
% 25.35/25.51 tff(1032,plain,
% 25.35/25.51 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.51 inference(modus_ponens,[status(thm)],[1031, 1024])).
% 25.35/25.51 tff(1033,plain,
% 25.35/25.51 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 25.35/25.51 inference(rewrite,[status(thm)],[])).
% 25.35/25.51 tff(1034,plain,
% 25.35/25.51 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 25.35/25.51 inference(rewrite,[status(thm)],[])).
% 25.35/25.51 tff(1035,plain,
% 25.35/25.51 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 25.35/25.51 inference(monotonicity,[status(thm)],[1034])).
% 25.35/25.51 tff(1036,plain,
% 25.35/25.51 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 25.35/25.51 inference(transitivity,[status(thm)],[1035, 1033])).
% 25.35/25.51 tff(1037,plain,
% 25.35/25.51 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 25.35/25.51 inference(quant_inst,[status(thm)],[])).
% 25.35/25.51 tff(1038,plain,
% 25.35/25.51 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 25.35/25.51 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 25.35/25.52 tff(1039,plain,
% 25.35/25.52 ($false),
% 25.35/25.52 inference(unit_resolution,[status(thm)],[1038, 19, 1032, 23, 41, 77, 59, 95, 253, 1022, 1021])).
% 25.35/25.52 tff(1040,plain,(ssPv17_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))), inference(lemma,lemma(discharge,[]))).
% 25.35/25.52 tff(1041,plain,
% 25.35/25.52 (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)),
% 25.35/25.52 inference(unit_resolution,[status(thm)],[1040, 1020])).
% 25.35/25.52 tff(1042,assumption,(~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), introduced(assumption)).
% 25.35/25.52 tff(1043,assumption,(ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)), introduced(assumption)).
% 25.35/25.52 tff(1044,plain,
% 25.35/25.52 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))))),
% 25.35/25.52 inference(bind,[status(th)],[])).
% 25.35/25.52 tff(1045,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.35/25.52 inference(quant_intro,[status(thm)],[1044])).
% 25.35/25.52 tff(1046,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.35/25.52 inference(rewrite,[status(thm)],[])).
% 25.35/25.52 tff(1047,plain,
% 25.35/25.52 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))))), (((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))))),
% 25.35/25.52 inference(bind,[status(th)],[])).
% 25.35/25.52 tff(1048,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.35/25.52 inference(quant_intro,[status(thm)],[1047])).
% 25.35/25.52 tff(1049,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause63')).
% 25.35/25.52 tff(1050,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.35/25.52 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 25.35/25.52 tff(1051,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.35/25.52 inference(modus_ponens,[status(thm)],[1050, 1046])).
% 25.35/25.52 tff(1052,plain,(
% 25.35/25.52 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.35/25.52 inference(skolemize,[status(sab)],[1051])).
% 25.35/25.52 tff(1053,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.35/25.52 inference(modus_ponens,[status(thm)],[1052, 1045])).
% 25.35/25.52 tff(1054,plain,
% 25.35/25.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 25.35/25.52 inference(rewrite,[status(thm)],[])).
% 25.35/25.52 tff(1055,plain,
% 25.35/25.52 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 25.35/25.52 inference(rewrite,[status(thm)],[])).
% 25.35/25.52 tff(1056,plain,
% 25.35/25.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 25.35/25.52 inference(monotonicity,[status(thm)],[1055])).
% 25.35/25.52 tff(1057,plain,
% 25.35/25.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 25.35/25.52 inference(transitivity,[status(thm)],[1056, 1054])).
% 25.35/25.52 tff(1058,plain,
% 25.35/25.52 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 25.35/25.52 inference(quant_inst,[status(thm)],[])).
% 25.35/25.52 tff(1059,plain,
% 25.35/25.52 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)),
% 25.35/25.52 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 25.35/25.52 tff(1060,plain,
% 25.35/25.52 ($false),
% 25.35/25.52 inference(unit_resolution,[status(thm)],[1059, 19, 1053, 23, 41, 77, 59, 1043, 95, 1042])).
% 25.35/25.52 tff(1061,plain,(ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))), inference(lemma,lemma(discharge,[]))).
% 25.35/25.52 tff(1062,plain,
% 25.35/25.52 (~ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 25.35/25.52 inference(unit_resolution,[status(thm)],[1061, 1041])).
% 25.35/25.52 tff(1063,plain,
% 25.35/25.52 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 25.35/25.52 inference(bind,[status(th)],[])).
% 25.35/25.52 tff(1064,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.52 inference(quant_intro,[status(thm)],[1063])).
% 25.35/25.52 tff(1065,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.52 inference(rewrite,[status(thm)],[])).
% 25.35/25.52 tff(1066,plain,
% 25.35/25.52 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 25.35/25.52 inference(bind,[status(th)],[])).
% 25.35/25.52 tff(1067,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.52 inference(quant_intro,[status(thm)],[1066])).
% 25.35/25.52 tff(1068,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause58')).
% 25.35/25.52 tff(1069,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.52 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 25.35/25.52 tff(1070,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.52 inference(modus_ponens,[status(thm)],[1069, 1065])).
% 25.35/25.52 tff(1071,plain,(
% 25.35/25.52 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.52 inference(skolemize,[status(sab)],[1070])).
% 25.35/25.52 tff(1072,plain,
% 25.35/25.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.52 inference(modus_ponens,[status(thm)],[1071, 1064])).
% 25.35/25.52 tff(1073,plain,
% 25.35/25.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.52 inference(rewrite,[status(thm)],[])).
% 25.35/25.52 tff(1074,plain,
% 25.35/25.52 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.52 inference(rewrite,[status(thm)],[])).
% 25.35/25.52 tff(1075,plain,
% 25.35/25.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))))),
% 25.35/25.52 inference(monotonicity,[status(thm)],[1074])).
% 25.35/25.52 tff(1076,plain,
% 25.35/25.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.52 inference(transitivity,[status(thm)],[1075, 1073])).
% 25.35/25.52 tff(1077,plain,
% 25.35/25.52 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.52 inference(quant_inst,[status(thm)],[])).
% 25.35/25.52 tff(1078,plain,
% 25.35/25.52 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv17_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.35/25.52 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 25.35/25.52 tff(1079,plain,
% 25.35/25.52 (ssPv17_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.35/25.52 inference(unit_resolution,[status(thm)],[1078, 19, 1072, 23, 41, 77, 59, 95])).
% 25.35/25.52 tff(1080,plain,
% 25.35/25.52 (~ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)),
% 25.35/25.52 inference(unit_resolution,[status(thm)],[1079, 1062])).
% 25.35/25.52 tff(1081,assumption,(ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)), introduced(assumption)).
% 25.35/25.52 tff(1082,plain,
% 25.35/25.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.52 inference(rewrite,[status(thm)],[])).
% 25.35/25.52 tff(1083,plain,
% 25.35/25.52 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.52 inference(rewrite,[status(thm)],[])).
% 25.35/25.52 tff(1084,plain,
% 25.35/25.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))))),
% 25.35/25.52 inference(monotonicity,[status(thm)],[1083])).
% 25.35/25.52 tff(1085,plain,
% 25.35/25.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.53 inference(transitivity,[status(thm)],[1084, 1082])).
% 25.35/25.53 tff(1086,plain,
% 25.35/25.53 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.53 inference(quant_inst,[status(thm)],[])).
% 25.35/25.53 tff(1087,plain,
% 25.35/25.53 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.35/25.53 inference(modus_ponens,[status(thm)],[1086, 1085])).
% 25.35/25.53 tff(1088,plain,
% 25.35/25.53 ($false),
% 25.35/25.53 inference(unit_resolution,[status(thm)],[1087, 19, 335, 23, 41, 77, 59, 325, 95, 1081])).
% 25.35/25.53 tff(1089,plain,(~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)), inference(lemma,lemma(discharge,[]))).
% 25.35/25.53 tff(1090,plain,
% 25.35/25.53 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28)))),
% 25.35/25.53 inference(bind,[status(th)],[])).
% 25.35/25.53 tff(1091,plain,
% 25.35/25.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))),
% 25.35/25.53 inference(quant_intro,[status(thm)],[1090])).
% 25.35/25.53 tff(1092,plain,
% 25.35/25.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))),
% 25.35/25.53 inference(rewrite,[status(thm)],[])).
% 25.35/25.53 tff(1093,plain,
% 25.35/25.53 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))))),
% 25.35/25.53 inference(bind,[status(th)],[])).
% 25.35/25.53 tff(1094,plain,
% 25.35/25.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))),
% 25.35/25.53 inference(quant_intro,[status(thm)],[1093])).
% 25.35/25.53 tff(1095,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause32')).
% 25.35/25.53 tff(1096,plain,
% 25.35/25.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))),
% 25.35/25.53 inference(modus_ponens,[status(thm)],[1095, 1094])).
% 25.35/25.53 tff(1097,plain,
% 25.35/25.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))),
% 25.35/25.53 inference(modus_ponens,[status(thm)],[1096, 1092])).
% 25.35/25.53 tff(1098,plain,(
% 25.35/25.53 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))),
% 25.35/25.53 inference(skolemize,[status(sab)],[1097])).
% 25.35/25.53 tff(1099,plain,
% 25.35/25.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))),
% 25.35/25.53 inference(modus_ponens,[status(thm)],[1098, 1091])).
% 25.35/25.53 tff(1100,plain,
% 25.35/25.53 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.35/25.53 inference(rewrite,[status(thm)],[])).
% 25.35/25.53 tff(1101,plain,
% 25.35/25.53 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.35/25.53 inference(quant_inst,[status(thm)],[])).
% 25.35/25.53 tff(1102,plain,
% 25.35/25.53 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc28))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)),
% 25.35/25.53 inference(modus_ponens,[status(thm)],[1101, 1100])).
% 25.35/25.53 tff(1103,plain,
% 25.35/25.53 (ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)),
% 25.35/25.53 inference(unit_resolution,[status(thm)],[1102, 19, 1099, 23, 41, 77, 59])).
% 25.35/25.53 tff(1104,plain,
% 25.35/25.53 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 25.35/25.53 inference(bind,[status(th)],[])).
% 25.35/25.53 tff(1105,plain,
% 25.35/25.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.53 inference(quant_intro,[status(thm)],[1104])).
% 25.35/25.53 tff(1106,plain,
% 25.35/25.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.53 inference(rewrite,[status(thm)],[])).
% 25.35/25.53 tff(1107,plain,
% 25.35/25.53 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 25.35/25.53 inference(bind,[status(th)],[])).
% 25.35/25.53 tff(1108,plain,
% 25.35/25.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.53 inference(quant_intro,[status(thm)],[1107])).
% 25.35/25.53 tff(1109,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause94')).
% 25.35/25.53 tff(1110,plain,
% 25.35/25.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.53 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 25.35/25.53 tff(1111,plain,
% 25.35/25.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.53 inference(modus_ponens,[status(thm)],[1110, 1106])).
% 25.35/25.53 tff(1112,plain,(
% 25.35/25.53 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.53 inference(skolemize,[status(sab)],[1111])).
% 25.35/25.53 tff(1113,plain,
% 25.35/25.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.35/25.53 inference(modus_ponens,[status(thm)],[1112, 1105])).
% 25.35/25.53 tff(1114,plain,
% 25.35/25.53 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.53 inference(rewrite,[status(thm)],[])).
% 25.35/25.53 tff(1115,plain,
% 25.35/25.53 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.35/25.53 inference(rewrite,[status(thm)],[])).
% 25.35/25.53 tff(1116,plain,
% 25.35/25.53 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))))),
% 25.39/25.53 inference(monotonicity,[status(thm)],[1115])).
% 25.39/25.53 tff(1117,plain,
% 25.39/25.53 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.39/25.53 inference(transitivity,[status(thm)],[1116, 1114])).
% 25.39/25.53 tff(1118,plain,
% 25.39/25.53 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.39/25.53 inference(quant_inst,[status(thm)],[])).
% 25.39/25.53 tff(1119,plain,
% 25.39/25.53 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv17_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.39/25.54 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 25.39/25.54 tff(1120,plain,
% 25.39/25.54 ((~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)),
% 25.39/25.54 inference(unit_resolution,[status(thm)],[1119, 19, 1113, 23, 41, 77, 59, 1103])).
% 25.39/25.54 tff(1121,plain,
% 25.39/25.54 (ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)),
% 25.39/25.54 inference(unit_resolution,[status(thm)],[1120, 95])).
% 25.39/25.54 tff(1122,plain,
% 25.39/25.54 (ssPv17_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.39/25.54 inference(unit_resolution,[status(thm)],[1121, 1089])).
% 25.39/25.54 tff(1123,plain,
% 25.39/25.54 (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)),
% 25.39/25.54 inference(unit_resolution,[status(thm)],[1122, 1080])).
% 25.39/25.54 tff(1124,assumption,(~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)), introduced(assumption)).
% 25.39/25.54 tff(1125,assumption,(ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)), introduced(assumption)).
% 25.39/25.54 tff(1126,plain,
% 25.39/25.54 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))),
% 25.39/25.54 inference(bind,[status(th)],[])).
% 25.39/25.54 tff(1127,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.39/25.54 inference(quant_intro,[status(thm)],[1126])).
% 25.39/25.54 tff(1128,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.39/25.54 inference(rewrite,[status(thm)],[])).
% 25.39/25.54 tff(1129,plain,
% 25.39/25.54 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))), (((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))))),
% 25.39/25.54 inference(bind,[status(th)],[])).
% 25.39/25.54 tff(1130,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.39/25.54 inference(quant_intro,[status(thm)],[1129])).
% 25.39/25.54 tff(1131,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause61')).
% 25.39/25.54 tff(1132,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.39/25.54 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 25.39/25.54 tff(1133,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.39/25.54 inference(modus_ponens,[status(thm)],[1132, 1128])).
% 25.39/25.54 tff(1134,plain,(
% 25.39/25.54 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.39/25.54 inference(skolemize,[status(sab)],[1133])).
% 25.39/25.54 tff(1135,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.39/25.54 inference(modus_ponens,[status(thm)],[1134, 1127])).
% 25.39/25.54 tff(1136,plain,
% 25.39/25.54 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.39/25.54 inference(rewrite,[status(thm)],[])).
% 25.39/25.54 tff(1137,plain,
% 25.39/25.54 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.39/25.54 inference(rewrite,[status(thm)],[])).
% 25.39/25.54 tff(1138,plain,
% 25.39/25.54 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 25.39/25.54 inference(monotonicity,[status(thm)],[1137])).
% 25.39/25.54 tff(1139,plain,
% 25.39/25.54 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 25.39/25.54 inference(transitivity,[status(thm)],[1138, 1136])).
% 25.39/25.54 tff(1140,plain,
% 25.39/25.54 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 25.39/25.54 inference(quant_inst,[status(thm)],[])).
% 25.39/25.54 tff(1141,plain,
% 25.39/25.54 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)),
% 25.39/25.54 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 25.39/25.54 tff(1142,plain,
% 25.39/25.54 ($false),
% 25.39/25.54 inference(unit_resolution,[status(thm)],[1141, 19, 1135, 23, 41, 77, 59, 1125, 95, 1124])).
% 25.39/25.54 tff(1143,plain,(ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))), inference(lemma,lemma(discharge,[]))).
% 25.39/25.54 tff(1144,plain,
% 25.39/25.54 (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 25.39/25.54 inference(unit_resolution,[status(thm)],[1143, 1123])).
% 25.39/25.54 tff(1145,assumption,(ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)), introduced(assumption)).
% 25.39/25.54 tff(1146,assumption,(~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)), introduced(assumption)).
% 25.39/25.54 tff(1147,plain,
% 25.39/25.54 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 25.39/25.54 inference(bind,[status(th)],[])).
% 25.39/25.54 tff(1148,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.39/25.54 inference(quant_intro,[status(thm)],[1147])).
% 25.39/25.54 tff(1149,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.39/25.54 inference(rewrite,[status(thm)],[])).
% 25.39/25.54 tff(1150,plain,
% 25.39/25.54 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 25.39/25.54 inference(bind,[status(th)],[])).
% 25.39/25.54 tff(1151,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.39/25.54 inference(quant_intro,[status(thm)],[1150])).
% 25.39/25.54 tff(1152,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause56')).
% 25.39/25.54 tff(1153,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.39/25.54 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 25.39/25.54 tff(1154,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.39/25.54 inference(modus_ponens,[status(thm)],[1153, 1149])).
% 25.39/25.54 tff(1155,plain,(
% 25.39/25.54 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.39/25.54 inference(skolemize,[status(sab)],[1154])).
% 25.39/25.54 tff(1156,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.39/25.54 inference(modus_ponens,[status(thm)],[1155, 1148])).
% 25.39/25.54 tff(1157,plain,
% 25.39/25.54 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 25.39/25.54 inference(rewrite,[status(thm)],[])).
% 25.39/25.54 tff(1158,plain,
% 25.39/25.54 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 25.39/25.54 inference(rewrite,[status(thm)],[])).
% 25.39/25.54 tff(1159,plain,
% 25.39/25.54 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))))),
% 25.39/25.54 inference(monotonicity,[status(thm)],[1158])).
% 25.39/25.54 tff(1160,plain,
% 25.39/25.54 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 25.39/25.54 inference(transitivity,[status(thm)],[1159, 1157])).
% 25.39/25.54 tff(1161,plain,
% 25.39/25.54 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 25.39/25.54 inference(quant_inst,[status(thm)],[])).
% 25.39/25.54 tff(1162,plain,
% 25.39/25.54 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 25.39/25.54 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 25.39/25.54 tff(1163,plain,
% 25.39/25.54 ($false),
% 25.39/25.54 inference(unit_resolution,[status(thm)],[1162, 19, 1156, 23, 41, 77, 59, 1146, 95, 1145])).
% 25.39/25.54 tff(1164,plain,((~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)), inference(lemma,lemma(discharge,[]))).
% 25.39/25.54 tff(1165,plain,
% 25.39/25.54 (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)),
% 25.39/25.54 inference(unit_resolution,[status(thm)],[1164, 1144])).
% 25.39/25.54 tff(1166,plain,
% 25.39/25.54 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 25.39/25.54 inference(bind,[status(th)],[])).
% 25.39/25.54 tff(1167,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.39/25.54 inference(quant_intro,[status(thm)],[1166])).
% 25.39/25.54 tff(1168,plain,
% 25.39/25.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.39/25.54 inference(rewrite,[status(thm)],[])).
% 25.39/25.54 tff(1169,plain,
% 25.39/25.54 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 25.39/25.55 inference(bind,[status(th)],[])).
% 25.39/25.55 tff(1170,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.39/25.55 inference(quant_intro,[status(thm)],[1169])).
% 25.39/25.55 tff(1171,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause77')).
% 25.39/25.55 tff(1172,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.39/25.55 inference(modus_ponens,[status(thm)],[1171, 1170])).
% 25.39/25.55 tff(1173,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.39/25.55 inference(modus_ponens,[status(thm)],[1172, 1168])).
% 25.39/25.55 tff(1174,plain,(
% 25.39/25.55 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.39/25.55 inference(skolemize,[status(sab)],[1173])).
% 25.39/25.55 tff(1175,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.39/25.55 inference(modus_ponens,[status(thm)],[1174, 1167])).
% 25.39/25.55 tff(1176,plain,
% 25.39/25.55 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 25.39/25.55 inference(rewrite,[status(thm)],[])).
% 25.39/25.55 tff(1177,plain,
% 25.39/25.55 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 25.39/25.55 inference(rewrite,[status(thm)],[])).
% 25.39/25.55 tff(1178,plain,
% 25.39/25.55 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 25.39/25.55 inference(monotonicity,[status(thm)],[1177])).
% 25.39/25.55 tff(1179,plain,
% 25.39/25.55 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 25.39/25.55 inference(transitivity,[status(thm)],[1178, 1176])).
% 25.39/25.55 tff(1180,plain,
% 25.39/25.55 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))),
% 25.39/25.55 inference(quant_inst,[status(thm)],[])).
% 25.39/25.55 tff(1181,plain,
% 25.39/25.55 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)),
% 25.39/25.55 inference(modus_ponens,[status(thm)],[1180, 1179])).
% 25.39/25.55 tff(1182,plain,
% 25.39/25.55 ((~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)),
% 25.39/25.55 inference(unit_resolution,[status(thm)],[1181, 19, 1175, 23, 41, 77, 59, 95, 113])).
% 25.39/25.55 tff(1183,plain,
% 25.39/25.55 (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)),
% 25.39/25.55 inference(unit_resolution,[status(thm)],[1182, 1165])).
% 25.39/25.55 tff(1184,plain,
% 25.39/25.55 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 25.39/25.55 inference(bind,[status(th)],[])).
% 25.39/25.55 tff(1185,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.39/25.55 inference(quant_intro,[status(thm)],[1184])).
% 25.39/25.55 tff(1186,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.39/25.55 inference(rewrite,[status(thm)],[])).
% 25.39/25.55 tff(1187,plain,
% 25.39/25.55 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 25.39/25.55 inference(bind,[status(th)],[])).
% 25.39/25.55 tff(1188,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.39/25.55 inference(quant_intro,[status(thm)],[1187])).
% 25.39/25.55 tff(1189,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause99')).
% 25.39/25.55 tff(1190,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.39/25.55 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 25.39/25.55 tff(1191,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.39/25.55 inference(modus_ponens,[status(thm)],[1190, 1186])).
% 25.39/25.55 tff(1192,plain,(
% 25.39/25.55 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.39/25.55 inference(skolemize,[status(sab)],[1191])).
% 25.39/25.55 tff(1193,plain,
% 25.39/25.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.39/25.55 inference(modus_ponens,[status(thm)],[1192, 1185])).
% 25.39/25.55 tff(1194,plain,
% 25.39/25.55 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 25.39/25.55 inference(rewrite,[status(thm)],[])).
% 25.39/25.55 tff(1195,plain,
% 25.39/25.55 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 25.39/25.55 inference(rewrite,[status(thm)],[])).
% 25.39/25.55 tff(1196,plain,
% 25.39/25.55 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))))),
% 25.39/25.55 inference(monotonicity,[status(thm)],[1195])).
% 25.39/25.55 tff(1197,plain,
% 25.39/25.55 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 25.39/25.56 inference(transitivity,[status(thm)],[1196, 1194])).
% 25.39/25.56 tff(1198,plain,
% 25.39/25.56 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 25.39/25.56 inference(quant_inst,[status(thm)],[])).
% 25.39/25.56 tff(1199,plain,
% 25.39/25.56 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))),
% 25.39/25.56 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 25.39/25.56 tff(1200,plain,
% 25.39/25.56 ($false),
% 25.39/25.56 inference(unit_resolution,[status(thm)],[1199, 19, 1193, 23, 41, 77, 59, 95, 113, 1183, 130, 238])).
% 25.39/25.56 tff(1201,plain,(~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 25.39/25.56 tff(1202,plain,
% 25.39/25.56 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 25.39/25.56 inference(bind,[status(th)],[])).
% 25.39/25.56 tff(1203,plain,
% 25.39/25.56 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.39/25.56 inference(quant_intro,[status(thm)],[1202])).
% 25.39/25.56 tff(1204,plain,
% 25.39/25.56 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.39/25.56 inference(rewrite,[status(thm)],[])).
% 25.39/25.56 tff(1205,plain,
% 25.39/25.56 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 25.39/25.56 inference(bind,[status(th)],[])).
% 25.39/25.56 tff(1206,plain,
% 25.39/25.56 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.39/25.56 inference(quant_intro,[status(thm)],[1205])).
% 25.39/25.56 tff(1207,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause125')).
% 25.39/25.56 tff(1208,plain,
% 25.39/25.56 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.39/25.56 inference(modus_ponens,[status(thm)],[1207, 1206])).
% 25.39/25.56 tff(1209,plain,
% 25.39/25.56 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.39/25.56 inference(modus_ponens,[status(thm)],[1208, 1204])).
% 25.39/25.56 tff(1210,plain,(
% 25.39/25.56 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.39/25.56 inference(skolemize,[status(sab)],[1209])).
% 25.39/25.56 tff(1211,plain,
% 25.39/25.56 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.39/25.56 inference(modus_ponens,[status(thm)],[1210, 1203])).
% 25.39/25.56 tff(1212,plain,
% 25.39/25.56 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))),
% 25.39/25.56 inference(rewrite,[status(thm)],[])).
% 25.39/25.56 tff(1213,plain,
% 25.39/25.56 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))),
% 25.39/25.56 inference(rewrite,[status(thm)],[])).
% 25.39/25.56 tff(1214,plain,
% 25.39/25.56 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 25.39/25.56 inference(monotonicity,[status(thm)],[1213])).
% 25.39/25.56 tff(1215,plain,
% 25.39/25.56 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))),
% 25.39/25.56 inference(transitivity,[status(thm)],[1214, 1212])).
% 25.39/25.56 tff(1216,plain,
% 25.39/25.56 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))),
% 25.39/25.56 inference(quant_inst,[status(thm)],[])).
% 25.39/25.56 tff(1217,plain,
% 25.39/25.56 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)),
% 25.39/25.56 inference(modus_ponens,[status(thm)],[1216, 1215])).
% 25.39/25.56 tff(1218,plain,
% 25.39/25.56 ((~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)),
% 25.39/25.56 inference(unit_resolution,[status(thm)],[1217, 19, 1211, 23, 41, 77, 59, 95, 113, 130, 148])).
% 25.39/25.56 tff(1219,plain,
% 25.39/25.56 (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)),
% 25.39/25.56 inference(unit_resolution,[status(thm)],[1218, 1201])).
% 25.39/25.56 tff(1220,plain,
% 25.39/25.56 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.39/25.56 inference(bind,[status(th)],[])).
% 25.39/25.56 tff(1221,plain,
% 25.39/25.56 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.39/25.56 inference(quant_intro,[status(thm)],[1220])).
% 25.39/25.56 tff(1222,plain,
% 25.39/25.56 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.39/25.56 inference(rewrite,[status(thm)],[])).
% 25.39/25.56 tff(1223,plain,
% 25.39/25.56 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.39/25.57 inference(bind,[status(th)],[])).
% 25.39/25.57 tff(1224,plain,
% 25.39/25.57 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.39/25.57 inference(quant_intro,[status(thm)],[1223])).
% 25.39/25.57 tff(1225,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause155')).
% 25.39/25.57 tff(1226,plain,
% 25.39/25.57 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.39/25.57 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 25.39/25.57 tff(1227,plain,
% 25.39/25.57 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.39/25.57 inference(modus_ponens,[status(thm)],[1226, 1222])).
% 25.39/25.57 tff(1228,plain,(
% 25.39/25.57 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.39/25.57 inference(skolemize,[status(sab)],[1227])).
% 25.39/25.57 tff(1229,plain,
% 25.39/25.57 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.39/25.57 inference(modus_ponens,[status(thm)],[1228, 1221])).
% 25.39/25.57 tff(1230,plain,
% 25.39/25.57 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))),
% 25.39/25.57 inference(rewrite,[status(thm)],[])).
% 25.39/25.57 tff(1231,plain,
% 25.39/25.57 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))),
% 25.39/25.57 inference(rewrite,[status(thm)],[])).
% 25.39/25.57 tff(1232,plain,
% 25.39/25.57 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))))),
% 25.39/25.57 inference(monotonicity,[status(thm)],[1231])).
% 25.39/25.57 tff(1233,plain,
% 25.39/25.57 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))),
% 25.39/25.57 inference(transitivity,[status(thm)],[1232, 1230])).
% 25.39/25.57 tff(1234,plain,
% 25.39/25.57 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))),
% 25.39/25.57 inference(quant_inst,[status(thm)],[])).
% 25.39/25.57 tff(1235,plain,
% 25.39/25.57 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 25.39/25.57 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 25.39/25.57 tff(1236,plain,
% 25.39/25.57 ($false),
% 25.39/25.57 inference(unit_resolution,[status(thm)],[1235, 19, 1229, 23, 41, 77, 59, 95, 113, 130, 148, 1219, 166, 237])).
% 25.39/25.57 tff(1237,plain,(~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.39/25.57 tff(1238,plain,
% 25.39/25.57 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 25.39/25.57 inference(bind,[status(th)],[])).
% 25.39/25.57 tff(1239,plain,
% 25.39/25.57 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.39/25.57 inference(quant_intro,[status(thm)],[1238])).
% 25.39/25.57 tff(1240,plain,
% 25.39/25.57 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.39/25.57 inference(rewrite,[status(thm)],[])).
% 25.39/25.57 tff(1241,plain,
% 25.39/25.57 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 25.39/25.58 inference(bind,[status(th)],[])).
% 25.39/25.58 tff(1242,plain,
% 25.39/25.58 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.39/25.58 inference(quant_intro,[status(thm)],[1241])).
% 25.39/25.58 tff(1243,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause169')).
% 25.39/25.58 tff(1244,plain,
% 25.39/25.58 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.39/25.58 inference(modus_ponens,[status(thm)],[1243, 1242])).
% 25.39/25.58 tff(1245,plain,
% 25.39/25.58 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.39/25.58 inference(modus_ponens,[status(thm)],[1244, 1240])).
% 25.39/25.58 tff(1246,plain,(
% 25.39/25.58 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.39/25.58 inference(skolemize,[status(sab)],[1245])).
% 25.39/25.58 tff(1247,plain,
% 25.39/25.58 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.39/25.58 inference(modus_ponens,[status(thm)],[1246, 1239])).
% 25.39/25.58 tff(1248,plain,
% 25.39/25.58 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 25.39/25.58 inference(rewrite,[status(thm)],[])).
% 25.39/25.58 tff(1249,plain,
% 25.39/25.58 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 25.39/25.58 inference(rewrite,[status(thm)],[])).
% 25.39/25.58 tff(1250,plain,
% 25.39/25.58 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))),
% 25.39/25.58 inference(monotonicity,[status(thm)],[1249])).
% 25.39/25.58 tff(1251,plain,
% 25.39/25.58 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 25.39/25.58 inference(transitivity,[status(thm)],[1250, 1248])).
% 25.39/25.58 tff(1252,plain,
% 25.39/25.58 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))),
% 25.39/25.58 inference(quant_inst,[status(thm)],[])).
% 25.39/25.58 tff(1253,plain,
% 25.39/25.58 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)),
% 25.39/25.58 inference(modus_ponens,[status(thm)],[1252, 1251])).
% 25.39/25.58 tff(1254,plain,
% 25.39/25.58 ($false),
% 25.39/25.58 inference(unit_resolution,[status(thm)],[1253, 19, 1247, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 1237, 236])).
% 25.39/25.58 tff(1255,plain,(~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.39/25.58 tff(1256,assumption,(ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.39/25.58 tff(1257,plain,
% 25.39/25.58 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.39/25.58 inference(bind,[status(th)],[])).
% 25.39/25.58 tff(1258,plain,
% 25.39/25.58 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.39/25.58 inference(quant_intro,[status(thm)],[1257])).
% 25.39/25.58 tff(1259,plain,
% 25.39/25.58 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.39/25.58 inference(rewrite,[status(thm)],[])).
% 25.39/25.58 tff(1260,plain,
% 25.39/25.58 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.39/25.59 inference(bind,[status(th)],[])).
% 25.39/25.59 tff(1261,plain,
% 25.39/25.59 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.39/25.59 inference(quant_intro,[status(thm)],[1260])).
% 25.39/25.59 tff(1262,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause208')).
% 25.39/25.59 tff(1263,plain,
% 25.39/25.59 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.39/25.59 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 25.39/25.59 tff(1264,plain,
% 25.39/25.59 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.39/25.59 inference(modus_ponens,[status(thm)],[1263, 1259])).
% 25.39/25.59 tff(1265,plain,(
% 25.39/25.59 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.39/25.59 inference(skolemize,[status(sab)],[1264])).
% 25.39/25.59 tff(1266,plain,
% 25.39/25.59 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.39/25.59 inference(modus_ponens,[status(thm)],[1265, 1258])).
% 25.39/25.59 tff(1267,plain,
% 25.39/25.59 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))),
% 25.39/25.59 inference(rewrite,[status(thm)],[])).
% 25.39/25.59 tff(1268,plain,
% 25.39/25.59 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))),
% 25.39/25.59 inference(rewrite,[status(thm)],[])).
% 25.39/25.59 tff(1269,plain,
% 25.39/25.59 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))),
% 25.39/25.59 inference(monotonicity,[status(thm)],[1268])).
% 25.39/25.59 tff(1270,plain,
% 25.39/25.59 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))),
% 25.39/25.59 inference(transitivity,[status(thm)],[1269, 1267])).
% 25.39/25.59 tff(1271,plain,
% 25.39/25.59 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.39/25.59 inference(quant_inst,[status(thm)],[])).
% 25.39/25.59 tff(1272,plain,
% 25.39/25.59 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)),
% 25.39/25.60 inference(modus_ponens,[status(thm)],[1271, 1270])).
% 25.39/25.60 tff(1273,plain,
% 25.39/25.60 ($false),
% 25.39/25.60 inference(unit_resolution,[status(thm)],[1272, 19, 1266, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 1256, 1255])).
% 25.39/25.60 tff(1274,plain,(~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.39/25.60 tff(1275,assumption,(ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 25.39/25.60 tff(1276,assumption,(~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.39/25.60 tff(1277,plain,
% 25.39/25.60 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 25.39/25.60 inference(bind,[status(th)],[])).
% 25.39/25.60 tff(1278,plain,
% 25.39/25.60 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.39/25.60 inference(quant_intro,[status(thm)],[1277])).
% 25.39/25.60 tff(1279,plain,
% 25.39/25.60 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.39/25.60 inference(rewrite,[status(thm)],[])).
% 25.39/25.60 tff(1280,plain,
% 25.39/25.60 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 25.45/25.60 inference(bind,[status(th)],[])).
% 25.45/25.60 tff(1281,plain,
% 25.45/25.60 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.45/25.60 inference(quant_intro,[status(thm)],[1280])).
% 25.45/25.60 tff(1282,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause227')).
% 25.45/25.60 tff(1283,plain,
% 25.45/25.60 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.45/25.60 inference(modus_ponens,[status(thm)],[1282, 1281])).
% 25.45/25.60 tff(1284,plain,
% 25.45/25.60 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.45/25.60 inference(modus_ponens,[status(thm)],[1283, 1279])).
% 25.45/25.60 tff(1285,plain,(
% 25.45/25.60 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.45/25.60 inference(skolemize,[status(sab)],[1284])).
% 25.45/25.60 tff(1286,plain,
% 25.45/25.60 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.45/25.60 inference(modus_ponens,[status(thm)],[1285, 1278])).
% 25.45/25.60 tff(1287,plain,
% 25.45/25.60 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.45/25.60 inference(rewrite,[status(thm)],[])).
% 25.45/25.60 tff(1288,plain,
% 25.45/25.60 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.45/25.60 inference(rewrite,[status(thm)],[])).
% 25.45/25.60 tff(1289,plain,
% 25.45/25.60 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))))),
% 25.45/25.61 inference(monotonicity,[status(thm)],[1288])).
% 25.45/25.61 tff(1290,plain,
% 25.45/25.61 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.45/25.61 inference(transitivity,[status(thm)],[1289, 1287])).
% 25.45/25.61 tff(1291,plain,
% 25.45/25.61 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.45/25.61 inference(quant_inst,[status(thm)],[])).
% 25.45/25.61 tff(1292,plain,
% 25.45/25.61 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.45/25.61 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 25.45/25.61 tff(1293,plain,
% 25.45/25.61 ($false),
% 25.45/25.61 inference(unit_resolution,[status(thm)],[1292, 19, 1286, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 220, 1276, 1275])).
% 25.45/25.61 tff(1294,plain,((~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.45/25.61 tff(1295,plain,
% 25.45/25.61 (~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 25.45/25.61 inference(unit_resolution,[status(thm)],[1294, 1274])).
% 25.45/25.61 tff(1296,assumption,(ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), introduced(assumption)).
% 25.45/25.61 tff(1297,assumption,(~ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 25.45/25.61 tff(1298,assumption,(~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 25.45/25.61 tff(1299,plain,
% 25.45/25.61 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.45/25.61 inference(rewrite,[status(thm)],[])).
% 25.45/25.61 tff(1300,plain,
% 25.45/25.61 (((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.45/25.61 inference(rewrite,[status(thm)],[])).
% 25.45/25.61 tff(1301,plain,
% 25.45/25.61 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.45/25.62 inference(monotonicity,[status(thm)],[1300])).
% 25.45/25.62 tff(1302,plain,
% 25.45/25.62 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.45/25.62 inference(transitivity,[status(thm)],[1301, 1299])).
% 25.45/25.62 tff(1303,plain,
% 25.45/25.62 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.45/25.62 inference(quant_inst,[status(thm)],[])).
% 25.45/25.62 tff(1304,plain,
% 25.45/25.62 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 25.45/25.62 inference(modus_ponens,[status(thm)],[1303, 1302])).
% 25.45/25.62 tff(1305,plain,
% 25.45/25.62 ($false),
% 25.45/25.62 inference(unit_resolution,[status(thm)],[1304, 19, 486, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 220, 1298])).
% 25.45/25.62 tff(1306,plain,(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), inference(lemma,lemma(discharge,[]))).
% 25.45/25.62 tff(1307,plain,
% 25.45/25.62 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 25.45/25.62 inference(bind,[status(th)],[])).
% 25.45/25.62 tff(1308,plain,
% 25.45/25.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.62 inference(quant_intro,[status(thm)],[1307])).
% 25.45/25.62 tff(1309,plain,
% 25.45/25.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.62 inference(rewrite,[status(thm)],[])).
% 25.45/25.62 tff(1310,plain,
% 25.45/25.62 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 25.45/25.62 inference(bind,[status(th)],[])).
% 25.45/25.62 tff(1311,plain,
% 25.45/25.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.62 inference(quant_intro,[status(thm)],[1310])).
% 25.45/25.62 tff(1312,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause272')).
% 25.45/25.62 tff(1313,plain,
% 25.45/25.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.62 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 25.45/25.62 tff(1314,plain,
% 25.45/25.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.62 inference(modus_ponens,[status(thm)],[1313, 1309])).
% 25.45/25.62 tff(1315,plain,(
% 25.45/25.62 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.62 inference(skolemize,[status(sab)],[1314])).
% 25.45/25.62 tff(1316,plain,
% 25.45/25.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.62 inference(modus_ponens,[status(thm)],[1315, 1308])).
% 25.45/25.62 tff(1317,plain,
% 25.45/25.62 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.45/25.63 inference(rewrite,[status(thm)],[])).
% 25.45/25.63 tff(1318,plain,
% 25.45/25.63 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.45/25.63 inference(rewrite,[status(thm)],[])).
% 25.45/25.63 tff(1319,plain,
% 25.45/25.63 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.45/25.63 inference(monotonicity,[status(thm)],[1318])).
% 25.45/25.63 tff(1320,plain,
% 25.45/25.63 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.45/25.63 inference(transitivity,[status(thm)],[1319, 1317])).
% 25.45/25.63 tff(1321,plain,
% 25.45/25.63 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.45/25.63 inference(quant_inst,[status(thm)],[])).
% 25.45/25.63 tff(1322,plain,
% 25.45/25.63 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 25.45/25.63 inference(modus_ponens,[status(thm)],[1321, 1320])).
% 25.45/25.63 tff(1323,plain,
% 25.45/25.63 ($false),
% 25.45/25.63 inference(unit_resolution,[status(thm)],[1322, 19, 1316, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 220, 1306, 1297, 1296])).
% 25.45/25.63 tff(1324,plain,((~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), inference(lemma,lemma(discharge,[]))).
% 25.45/25.63 tff(1325,plain,
% 25.45/25.63 (~ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 25.45/25.63 inference(unit_resolution,[status(thm)],[1324, 1295])).
% 25.45/25.63 tff(1326,assumption,(ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), introduced(assumption)).
% 25.45/25.63 tff(1327,assumption,(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 25.45/25.63 tff(1328,plain,
% 25.45/25.63 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))),
% 25.45/25.63 inference(bind,[status(th)],[])).
% 25.45/25.63 tff(1329,plain,
% 25.45/25.63 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 25.45/25.63 inference(quant_intro,[status(thm)],[1328])).
% 25.45/25.63 tff(1330,plain,
% 25.45/25.63 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 25.45/25.63 inference(rewrite,[status(thm)],[])).
% 25.45/25.63 tff(1331,plain,
% 25.45/25.63 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))))),
% 25.45/25.64 inference(bind,[status(th)],[])).
% 25.45/25.64 tff(1332,plain,
% 25.45/25.64 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 25.45/25.64 inference(quant_intro,[status(thm)],[1331])).
% 25.45/25.64 tff(1333,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause188')).
% 25.45/25.64 tff(1334,plain,
% 25.45/25.64 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 25.45/25.64 inference(modus_ponens,[status(thm)],[1333, 1332])).
% 25.45/25.64 tff(1335,plain,
% 25.45/25.64 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 25.45/25.64 inference(modus_ponens,[status(thm)],[1334, 1330])).
% 25.45/25.64 tff(1336,plain,(
% 25.45/25.64 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 25.45/25.64 inference(skolemize,[status(sab)],[1335])).
% 25.45/25.64 tff(1337,plain,
% 25.45/25.64 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 25.45/25.64 inference(modus_ponens,[status(thm)],[1336, 1329])).
% 25.45/25.64 tff(1338,plain,
% 25.45/25.64 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.45/25.64 inference(rewrite,[status(thm)],[])).
% 25.45/25.64 tff(1339,plain,
% 25.45/25.64 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.45/25.64 inference(quant_inst,[status(thm)],[])).
% 25.45/25.64 tff(1340,plain,
% 25.45/25.64 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.45/25.64 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 25.45/25.64 tff(1341,plain,
% 25.45/25.64 ($false),
% 25.45/25.64 inference(unit_resolution,[status(thm)],[1340, 19, 1337, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 1327])).
% 25.45/25.64 tff(1342,plain,(~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), inference(lemma,lemma(discharge,[]))).
% 25.45/25.64 tff(1343,plain,
% 25.45/25.64 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 25.45/25.64 inference(bind,[status(th)],[])).
% 25.45/25.64 tff(1344,plain,
% 25.45/25.64 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.64 inference(quant_intro,[status(thm)],[1343])).
% 25.45/25.64 tff(1345,plain,
% 25.45/25.64 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.64 inference(rewrite,[status(thm)],[])).
% 25.45/25.64 tff(1346,plain,
% 25.45/25.64 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 25.45/25.65 inference(bind,[status(th)],[])).
% 25.45/25.65 tff(1347,plain,
% 25.45/25.65 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.65 inference(quant_intro,[status(thm)],[1346])).
% 25.45/25.65 tff(1348,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause283')).
% 25.45/25.65 tff(1349,plain,
% 25.45/25.65 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.65 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 25.45/25.65 tff(1350,plain,
% 25.45/25.65 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.65 inference(modus_ponens,[status(thm)],[1349, 1345])).
% 25.45/25.65 tff(1351,plain,(
% 25.45/25.65 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.65 inference(skolemize,[status(sab)],[1350])).
% 25.45/25.65 tff(1352,plain,
% 25.45/25.65 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.65 inference(modus_ponens,[status(thm)],[1351, 1344])).
% 25.45/25.65 tff(1353,plain,
% 25.45/25.65 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.45/25.65 inference(rewrite,[status(thm)],[])).
% 25.45/25.65 tff(1354,plain,
% 25.45/25.65 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.45/25.65 inference(rewrite,[status(thm)],[])).
% 25.45/25.65 tff(1355,plain,
% 25.45/25.65 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))))),
% 25.45/25.65 inference(monotonicity,[status(thm)],[1354])).
% 25.45/25.65 tff(1356,plain,
% 25.45/25.65 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.45/25.65 inference(transitivity,[status(thm)],[1355, 1353])).
% 25.45/25.65 tff(1357,plain,
% 25.45/25.65 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.45/25.66 inference(quant_inst,[status(thm)],[])).
% 25.45/25.66 tff(1358,plain,
% 25.45/25.66 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 25.45/25.66 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 25.45/25.66 tff(1359,plain,
% 25.45/25.66 ($false),
% 25.45/25.66 inference(unit_resolution,[status(thm)],[1358, 19, 1352, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 220, 1306, 1342, 1326])).
% 25.45/25.66 tff(1360,plain,(~ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), inference(lemma,lemma(discharge,[]))).
% 25.45/25.66 tff(1361,plain,
% 25.45/25.66 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.45/25.66 inference(bind,[status(th)],[])).
% 25.45/25.66 tff(1362,plain,
% 25.45/25.66 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.45/25.66 inference(quant_intro,[status(thm)],[1361])).
% 25.45/25.66 tff(1363,plain,
% 25.45/25.66 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.45/25.66 inference(rewrite,[status(thm)],[])).
% 25.45/25.66 tff(1364,plain,
% 25.45/25.66 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), ((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), (((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 25.51/25.66 inference(bind,[status(th)],[])).
% 25.51/25.66 tff(1365,plain,
% 25.51/25.66 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.51/25.66 inference(quant_intro,[status(thm)],[1364])).
% 25.51/25.66 tff(1366,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause329')).
% 25.51/25.66 tff(1367,plain,
% 25.51/25.66 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.51/25.66 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 25.51/25.66 tff(1368,plain,
% 25.51/25.66 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.51/25.66 inference(modus_ponens,[status(thm)],[1367, 1363])).
% 25.51/25.66 tff(1369,plain,(
% 25.51/25.66 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.51/25.66 inference(skolemize,[status(sab)],[1368])).
% 25.51/25.66 tff(1370,plain,
% 25.51/25.66 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 25.51/25.66 inference(modus_ponens,[status(thm)],[1369, 1362])).
% 25.51/25.66 tff(1371,plain,
% 25.51/25.66 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 25.51/25.67 inference(rewrite,[status(thm)],[])).
% 25.51/25.67 tff(1372,plain,
% 25.51/25.67 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 25.51/25.67 inference(rewrite,[status(thm)],[])).
% 25.51/25.67 tff(1373,plain,
% 25.51/25.67 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.51/25.67 inference(monotonicity,[status(thm)],[1372])).
% 25.51/25.67 tff(1374,plain,
% 25.51/25.67 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 25.51/25.67 inference(transitivity,[status(thm)],[1373, 1371])).
% 25.51/25.67 tff(1375,plain,
% 25.51/25.67 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 25.51/25.67 inference(quant_inst,[status(thm)],[])).
% 25.51/25.67 tff(1376,plain,
% 25.51/25.67 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv8_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 25.51/25.68 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 25.51/25.68 tff(1377,plain,
% 25.51/25.68 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv19_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 25.51/25.68 inference(unit_resolution,[status(thm)],[1376, 19, 1370, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 220, 1306, 1360])).
% 25.51/25.68 tff(1378,plain,
% 25.51/25.68 (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 25.51/25.68 inference(unit_resolution,[status(thm)],[1377, 1325, 235])).
% 25.51/25.68 tff(1379,assumption,(ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), introduced(assumption)).
% 25.51/25.68 tff(1380,assumption,(~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 25.51/25.68 tff(1381,plain,
% 25.51/25.68 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 25.51/25.68 inference(bind,[status(th)],[])).
% 25.51/25.68 tff(1382,plain,
% 25.51/25.68 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.51/25.68 inference(quant_intro,[status(thm)],[1381])).
% 25.51/25.68 tff(1383,plain,
% 25.51/25.68 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.51/25.68 inference(rewrite,[status(thm)],[])).
% 25.51/25.68 tff(1384,plain,
% 25.51/25.68 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 25.51/25.68 inference(bind,[status(th)],[])).
% 25.51/25.68 tff(1385,plain,
% 25.51/25.68 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.51/25.68 inference(quant_intro,[status(thm)],[1384])).
% 25.51/25.68 tff(1386,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause273')).
% 25.51/25.68 tff(1387,plain,
% 25.51/25.68 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.51/25.68 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 25.51/25.68 tff(1388,plain,
% 25.51/25.68 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.51/25.68 inference(modus_ponens,[status(thm)],[1387, 1383])).
% 25.51/25.68 tff(1389,plain,(
% 25.51/25.68 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.51/25.68 inference(skolemize,[status(sab)],[1388])).
% 25.51/25.68 tff(1390,plain,
% 25.51/25.68 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 25.51/25.68 inference(modus_ponens,[status(thm)],[1389, 1382])).
% 25.51/25.68 tff(1391,plain,
% 25.51/25.68 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.51/25.69 inference(rewrite,[status(thm)],[])).
% 25.51/25.69 tff(1392,plain,
% 25.51/25.69 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.51/25.69 inference(rewrite,[status(thm)],[])).
% 25.51/25.69 tff(1393,plain,
% 25.51/25.69 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))))),
% 25.51/25.69 inference(monotonicity,[status(thm)],[1392])).
% 25.51/25.69 tff(1394,plain,
% 25.51/25.69 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.51/25.69 inference(transitivity,[status(thm)],[1393, 1391])).
% 25.51/25.69 tff(1395,plain,
% 25.51/25.69 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 25.51/25.69 inference(quant_inst,[status(thm)],[])).
% 25.51/25.69 tff(1396,plain,
% 25.51/25.69 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 25.51/25.69 inference(modus_ponens,[status(thm)],[1395, 1394])).
% 25.51/25.69 tff(1397,plain,
% 25.51/25.69 ($false),
% 25.51/25.69 inference(unit_resolution,[status(thm)],[1396, 19, 1390, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 220, 1306, 1380, 1379])).
% 25.51/25.69 tff(1398,plain,((~ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), inference(lemma,lemma(discharge,[]))).
% 25.51/25.69 tff(1399,plain,
% 25.51/25.69 (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 25.51/25.69 inference(unit_resolution,[status(thm)],[1398, 1378])).
% 25.51/25.69 tff(1400,assumption,(ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 25.51/25.69 tff(1401,assumption,(~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.51/25.69 tff(1402,plain,
% 25.51/25.69 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 25.51/25.69 inference(bind,[status(th)],[])).
% 25.51/25.69 tff(1403,plain,
% 25.51/25.69 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.51/25.69 inference(quant_intro,[status(thm)],[1402])).
% 25.51/25.69 tff(1404,plain,
% 25.51/25.69 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.51/25.69 inference(rewrite,[status(thm)],[])).
% 25.51/25.69 tff(1405,plain,
% 25.51/25.69 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 25.51/25.70 inference(bind,[status(th)],[])).
% 25.51/25.70 tff(1406,plain,
% 25.51/25.70 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.51/25.70 inference(quant_intro,[status(thm)],[1405])).
% 25.51/25.70 tff(1407,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause228')).
% 25.51/25.70 tff(1408,plain,
% 25.51/25.70 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.51/25.70 inference(modus_ponens,[status(thm)],[1407, 1406])).
% 25.51/25.70 tff(1409,plain,
% 25.51/25.70 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.51/25.70 inference(modus_ponens,[status(thm)],[1408, 1404])).
% 25.51/25.70 tff(1410,plain,(
% 25.51/25.70 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.51/25.70 inference(skolemize,[status(sab)],[1409])).
% 25.51/25.70 tff(1411,plain,
% 25.51/25.70 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.51/25.70 inference(modus_ponens,[status(thm)],[1410, 1403])).
% 25.51/25.70 tff(1412,plain,
% 25.51/25.70 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.51/25.70 inference(rewrite,[status(thm)],[])).
% 25.51/25.70 tff(1413,plain,
% 25.51/25.70 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.51/25.70 inference(rewrite,[status(thm)],[])).
% 25.51/25.70 tff(1414,plain,
% 25.51/25.70 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))))),
% 25.51/25.70 inference(monotonicity,[status(thm)],[1413])).
% 25.51/25.70 tff(1415,plain,
% 25.51/25.70 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.51/25.70 inference(transitivity,[status(thm)],[1414, 1412])).
% 25.51/25.70 tff(1416,plain,
% 25.51/25.70 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.51/25.71 inference(quant_inst,[status(thm)],[])).
% 25.51/25.71 tff(1417,plain,
% 25.51/25.71 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.51/25.71 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 25.51/25.71 tff(1418,plain,
% 25.51/25.71 ($false),
% 25.51/25.71 inference(unit_resolution,[status(thm)],[1417, 19, 1411, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 220, 1401, 1400])).
% 25.51/25.71 tff(1419,plain,((~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.51/25.71 tff(1420,plain,
% 25.51/25.71 (ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.51/25.71 inference(unit_resolution,[status(thm)],[1419, 1399])).
% 25.51/25.71 tff(1421,assumption,(~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.51/25.71 tff(1422,assumption,(ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.51/25.71 tff(1423,plain,
% 25.51/25.71 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.51/25.71 inference(bind,[status(th)],[])).
% 25.51/25.71 tff(1424,plain,
% 25.51/25.71 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.51/25.71 inference(quant_intro,[status(thm)],[1423])).
% 25.51/25.71 tff(1425,plain,
% 25.51/25.71 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.51/25.71 inference(rewrite,[status(thm)],[])).
% 25.51/25.71 tff(1426,plain,
% 25.51/25.71 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.51/25.71 inference(bind,[status(th)],[])).
% 25.51/25.71 tff(1427,plain,
% 25.51/25.71 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.51/25.71 inference(quant_intro,[status(thm)],[1426])).
% 25.51/25.71 tff(1428,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause209')).
% 25.51/25.71 tff(1429,plain,
% 25.51/25.71 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.51/25.71 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 25.51/25.71 tff(1430,plain,
% 25.51/25.71 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.51/25.71 inference(modus_ponens,[status(thm)],[1429, 1425])).
% 25.51/25.71 tff(1431,plain,(
% 25.51/25.71 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.51/25.71 inference(skolemize,[status(sab)],[1430])).
% 25.51/25.71 tff(1432,plain,
% 25.51/25.71 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.51/25.71 inference(modus_ponens,[status(thm)],[1431, 1424])).
% 25.51/25.71 tff(1433,plain,
% 25.51/25.71 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))),
% 25.51/25.71 inference(rewrite,[status(thm)],[])).
% 25.51/25.71 tff(1434,plain,
% 25.51/25.71 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))),
% 25.51/25.71 inference(rewrite,[status(thm)],[])).
% 25.51/25.71 tff(1435,plain,
% 25.51/25.71 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))),
% 25.51/25.72 inference(monotonicity,[status(thm)],[1434])).
% 25.51/25.72 tff(1436,plain,
% 25.51/25.72 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))),
% 25.51/25.72 inference(transitivity,[status(thm)],[1435, 1433])).
% 25.51/25.72 tff(1437,plain,
% 25.51/25.72 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.51/25.72 inference(quant_inst,[status(thm)],[])).
% 25.51/25.72 tff(1438,plain,
% 25.51/25.72 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)),
% 25.51/25.72 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 25.51/25.72 tff(1439,plain,
% 25.51/25.72 ($false),
% 25.51/25.72 inference(unit_resolution,[status(thm)],[1438, 19, 1432, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 202, 1422, 1421])).
% 25.51/25.72 tff(1440,plain,((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.51/25.72 tff(1441,plain,
% 25.51/25.72 (ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)),
% 25.51/25.72 inference(unit_resolution,[status(thm)],[1440, 1420])).
% 25.51/25.72 tff(1442,assumption,(ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.51/25.72 tff(1443,assumption,(~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.51/25.72 tff(1444,plain,
% 25.51/25.72 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 25.51/25.72 inference(bind,[status(th)],[])).
% 25.51/25.72 tff(1445,plain,
% 25.51/25.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.51/25.72 inference(quant_intro,[status(thm)],[1444])).
% 25.51/25.72 tff(1446,plain,
% 25.51/25.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.51/25.72 inference(rewrite,[status(thm)],[])).
% 25.51/25.72 tff(1447,plain,
% 25.51/25.72 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 25.51/25.72 inference(bind,[status(th)],[])).
% 25.51/25.72 tff(1448,plain,
% 25.51/25.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.51/25.72 inference(quant_intro,[status(thm)],[1447])).
% 25.51/25.72 tff(1449,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause170')).
% 25.51/25.72 tff(1450,plain,
% 25.51/25.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.51/25.72 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 25.51/25.72 tff(1451,plain,
% 25.51/25.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.51/25.72 inference(modus_ponens,[status(thm)],[1450, 1446])).
% 25.51/25.72 tff(1452,plain,(
% 25.51/25.72 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.51/25.72 inference(skolemize,[status(sab)],[1451])).
% 25.51/25.72 tff(1453,plain,
% 25.51/25.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.51/25.72 inference(modus_ponens,[status(thm)],[1452, 1445])).
% 25.51/25.72 tff(1454,plain,
% 25.51/25.72 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 25.51/25.72 inference(rewrite,[status(thm)],[])).
% 25.51/25.72 tff(1455,plain,
% 25.51/25.72 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 25.51/25.72 inference(rewrite,[status(thm)],[])).
% 25.51/25.72 tff(1456,plain,
% 25.51/25.72 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))),
% 25.51/25.73 inference(monotonicity,[status(thm)],[1455])).
% 25.51/25.73 tff(1457,plain,
% 25.51/25.73 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))),
% 25.51/25.73 inference(transitivity,[status(thm)],[1456, 1454])).
% 25.51/25.73 tff(1458,plain,
% 25.51/25.73 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)))),
% 25.51/25.73 inference(quant_inst,[status(thm)],[])).
% 25.51/25.73 tff(1459,plain,
% 25.51/25.73 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)),
% 25.51/25.73 inference(modus_ponens,[status(thm)],[1458, 1457])).
% 25.51/25.73 tff(1460,plain,
% 25.51/25.73 ($false),
% 25.51/25.73 inference(unit_resolution,[status(thm)],[1459, 19, 1453, 23, 41, 77, 59, 95, 113, 130, 148, 166, 184, 1443, 1442])).
% 25.51/25.73 tff(1461,plain,((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.51/25.73 tff(1462,plain,
% 25.51/25.73 (ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)),
% 25.51/25.73 inference(unit_resolution,[status(thm)],[1461, 1441])).
% 25.51/25.73 tff(1463,assumption,(ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.51/25.73 tff(1464,assumption,(~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)), introduced(assumption)).
% 25.51/25.73 tff(1465,plain,
% 25.51/25.73 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.51/25.73 inference(bind,[status(th)],[])).
% 25.51/25.73 tff(1466,plain,
% 25.51/25.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.51/25.73 inference(quant_intro,[status(thm)],[1465])).
% 25.51/25.73 tff(1467,plain,
% 25.51/25.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.51/25.73 inference(rewrite,[status(thm)],[])).
% 25.51/25.73 tff(1468,plain,
% 25.51/25.73 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.51/25.73 inference(bind,[status(th)],[])).
% 25.51/25.73 tff(1469,plain,
% 25.51/25.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.51/25.73 inference(quant_intro,[status(thm)],[1468])).
% 25.51/25.73 tff(1470,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause156')).
% 25.51/25.73 tff(1471,plain,
% 25.51/25.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.51/25.73 inference(modus_ponens,[status(thm)],[1470, 1469])).
% 25.51/25.73 tff(1472,plain,
% 25.51/25.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.51/25.73 inference(modus_ponens,[status(thm)],[1471, 1467])).
% 25.51/25.73 tff(1473,plain,(
% 25.51/25.73 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.51/25.73 inference(skolemize,[status(sab)],[1472])).
% 25.51/25.73 tff(1474,plain,
% 25.51/25.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.51/25.73 inference(modus_ponens,[status(thm)],[1473, 1466])).
% 25.51/25.73 tff(1475,plain,
% 25.51/25.73 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))),
% 25.51/25.73 inference(rewrite,[status(thm)],[])).
% 25.51/25.73 tff(1476,plain,
% 25.51/25.73 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))),
% 25.51/25.73 inference(rewrite,[status(thm)],[])).
% 25.51/25.73 tff(1477,plain,
% 25.51/25.73 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))),
% 25.51/25.74 inference(monotonicity,[status(thm)],[1476])).
% 25.51/25.74 tff(1478,plain,
% 25.51/25.74 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))),
% 25.51/25.74 inference(transitivity,[status(thm)],[1477, 1475])).
% 25.51/25.74 tff(1479,plain,
% 25.51/25.74 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)))),
% 25.51/25.74 inference(quant_inst,[status(thm)],[])).
% 25.51/25.74 tff(1480,plain,
% 25.51/25.74 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)),
% 25.51/25.74 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 25.51/25.74 tff(1481,plain,
% 25.51/25.74 ($false),
% 25.51/25.74 inference(unit_resolution,[status(thm)],[1480, 19, 1474, 23, 41, 77, 59, 95, 113, 130, 148, 166, 1464, 1463])).
% 25.51/25.74 tff(1482,plain,((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24, skc24)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.51/25.74 tff(1483,plain,
% 25.51/25.74 (ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)),
% 25.51/25.74 inference(unit_resolution,[status(thm)],[1482, 1462])).
% 25.51/25.74 tff(1484,assumption,(ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)), introduced(assumption)).
% 25.51/25.74 tff(1485,assumption,(~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)), introduced(assumption)).
% 25.51/25.74 tff(1486,plain,
% 25.51/25.74 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 25.51/25.74 inference(bind,[status(th)],[])).
% 25.51/25.74 tff(1487,plain,
% 25.51/25.74 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.51/25.74 inference(quant_intro,[status(thm)],[1486])).
% 25.51/25.74 tff(1488,plain,
% 25.51/25.74 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.51/25.74 inference(rewrite,[status(thm)],[])).
% 25.51/25.74 tff(1489,plain,
% 25.51/25.74 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 25.51/25.74 inference(bind,[status(th)],[])).
% 25.51/25.74 tff(1490,plain,
% 25.51/25.74 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.51/25.74 inference(quant_intro,[status(thm)],[1489])).
% 25.51/25.74 tff(1491,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause126')).
% 25.51/25.74 tff(1492,plain,
% 25.51/25.74 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.51/25.74 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 25.51/25.74 tff(1493,plain,
% 25.51/25.74 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.51/25.74 inference(modus_ponens,[status(thm)],[1492, 1488])).
% 25.51/25.74 tff(1494,plain,(
% 25.51/25.74 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.51/25.74 inference(skolemize,[status(sab)],[1493])).
% 25.51/25.74 tff(1495,plain,
% 25.51/25.74 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.51/25.74 inference(modus_ponens,[status(thm)],[1494, 1487])).
% 25.51/25.74 tff(1496,plain,
% 25.51/25.74 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))),
% 25.51/25.74 inference(rewrite,[status(thm)],[])).
% 25.51/25.74 tff(1497,plain,
% 25.51/25.74 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))),
% 25.51/25.74 inference(rewrite,[status(thm)],[])).
% 25.51/25.74 tff(1498,plain,
% 25.51/25.74 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))))),
% 25.51/25.74 inference(monotonicity,[status(thm)],[1497])).
% 25.51/25.74 tff(1499,plain,
% 25.51/25.74 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))),
% 25.51/25.75 inference(transitivity,[status(thm)],[1498, 1496])).
% 25.51/25.75 tff(1500,plain,
% 25.51/25.75 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)))),
% 25.51/25.75 inference(quant_inst,[status(thm)],[])).
% 25.51/25.75 tff(1501,plain,
% 25.51/25.75 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24))),
% 25.51/25.75 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 25.51/25.75 tff(1502,plain,
% 25.51/25.75 ($false),
% 25.51/25.75 inference(unit_resolution,[status(thm)],[1501, 19, 1495, 23, 41, 77, 59, 95, 113, 130, 148, 1485, 1484])).
% 25.51/25.75 tff(1503,plain,((~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25, skc24)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 25.51/25.75 tff(1504,plain,
% 25.51/25.75 (ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)),
% 25.51/25.75 inference(unit_resolution,[status(thm)],[1503, 1483])).
% 25.51/25.75 tff(1505,plain,
% 25.51/25.75 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 25.51/25.75 inference(bind,[status(th)],[])).
% 25.51/25.75 tff(1506,plain,
% 25.51/25.75 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.51/25.75 inference(quant_intro,[status(thm)],[1505])).
% 25.51/25.75 tff(1507,plain,
% 25.51/25.75 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.51/25.75 inference(rewrite,[status(thm)],[])).
% 25.51/25.75 tff(1508,plain,
% 25.51/25.75 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 25.51/25.75 inference(bind,[status(th)],[])).
% 25.51/25.75 tff(1509,plain,
% 25.51/25.75 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.51/25.75 inference(quant_intro,[status(thm)],[1508])).
% 25.51/25.75 tff(1510,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause100')).
% 25.51/25.75 tff(1511,plain,
% 25.51/25.75 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.51/25.75 inference(modus_ponens,[status(thm)],[1510, 1509])).
% 25.51/25.75 tff(1512,plain,
% 25.51/25.75 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.51/25.75 inference(modus_ponens,[status(thm)],[1511, 1507])).
% 25.51/25.75 tff(1513,plain,(
% 25.51/25.75 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.51/25.75 inference(skolemize,[status(sab)],[1512])).
% 25.51/25.75 tff(1514,plain,
% 25.51/25.75 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.51/25.75 inference(modus_ponens,[status(thm)],[1513, 1506])).
% 25.51/25.75 tff(1515,plain,
% 25.51/25.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 25.51/25.75 inference(rewrite,[status(thm)],[])).
% 25.51/25.75 tff(1516,plain,
% 25.51/25.75 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 25.51/25.75 inference(rewrite,[status(thm)],[])).
% 25.51/25.75 tff(1517,plain,
% 25.51/25.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))))),
% 25.51/25.75 inference(monotonicity,[status(thm)],[1516])).
% 25.51/25.75 tff(1518,plain,
% 25.51/25.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 25.51/25.75 inference(transitivity,[status(thm)],[1517, 1515])).
% 25.51/25.75 tff(1519,plain,
% 25.51/25.75 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25)))),
% 25.51/25.75 inference(quant_inst,[status(thm)],[])).
% 25.51/25.75 tff(1520,plain,
% 25.51/25.75 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27, skc25))),
% 25.51/25.75 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 25.51/25.75 tff(1521,plain,
% 25.51/25.75 (ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)),
% 25.51/25.75 inference(unit_resolution,[status(thm)],[1520, 19, 1514, 23, 41, 77, 59, 95, 113, 130, 1504])).
% 25.51/25.75 tff(1522,assumption,(ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)), introduced(assumption)).
% 25.51/25.75 tff(1523,plain,
% 25.51/25.75 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X))))),
% 25.51/25.75 inference(bind,[status(th)],[])).
% 25.51/25.75 tff(1524,plain,
% 25.51/25.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))),
% 25.51/25.75 inference(quant_intro,[status(thm)],[1523])).
% 25.51/25.75 tff(1525,plain,
% 25.51/25.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))),
% 25.51/25.75 inference(rewrite,[status(thm)],[])).
% 25.51/25.75 tff(1526,plain,
% 25.51/25.75 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X)))), ((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X)))), ((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))))), (((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X)))), (((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))))), ((((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X)))), ((((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))))), (((((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X)))), (((((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))))), ((((((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_4r1r1r1r1(U, V, W, X))) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))), ((((((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))))),
% 25.51/25.75 inference(bind,[status(th)],[])).
% 25.51/25.75 tff(1527,plain,
% 25.51/25.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (((((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))),
% 25.51/25.75 inference(quant_intro,[status(thm)],[1526])).
% 25.51/25.75 tff(1528,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : (((((((~ssPv19_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause43')).
% 25.51/25.75 tff(1529,plain,
% 25.51/25.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))),
% 25.51/25.75 inference(modus_ponens,[status(thm)],[1528, 1527])).
% 25.51/25.75 tff(1530,plain,
% 25.51/25.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))),
% 25.51/25.75 inference(modus_ponens,[status(thm)],[1529, 1525])).
% 25.51/25.75 tff(1531,plain,(
% 25.51/25.75 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))),
% 25.51/25.75 inference(skolemize,[status(sab)],[1530])).
% 25.51/25.75 tff(1532,plain,
% 25.51/25.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))),
% 25.51/25.76 inference(modus_ponens,[status(thm)],[1531, 1524])).
% 25.51/25.76 tff(1533,plain,
% 25.51/25.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 25.51/25.76 inference(rewrite,[status(thm)],[])).
% 25.51/25.76 tff(1534,plain,
% 25.51/25.76 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))) <=> ((~ssNder1_0) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 25.51/25.76 inference(rewrite,[status(thm)],[])).
% 25.51/25.76 tff(1535,plain,
% 25.51/25.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 25.51/25.76 inference(monotonicity,[status(thm)],[1534])).
% 25.51/25.76 tff(1536,plain,
% 25.51/25.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 25.61/25.76 inference(transitivity,[status(thm)],[1535, 1533])).
% 25.61/25.76 tff(1537,plain,
% 25.61/25.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 25.61/25.76 inference(quant_inst,[status(thm)],[])).
% 25.61/25.76 tff(1538,plain,
% 25.61/25.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 25.61/25.76 inference(modus_ponens,[status(thm)],[1537, 1536])).
% 25.61/25.76 tff(1539,plain,
% 25.61/25.76 ($false),
% 25.61/25.76 inference(unit_resolution,[status(thm)],[1538, 19, 1532, 23, 41, 77, 59, 1522, 1146])).
% 25.61/25.76 tff(1540,plain,(ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))), inference(lemma,lemma(discharge,[]))).
% 25.61/25.76 tff(1541,plain,
% 25.61/25.76 (~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)),
% 25.61/25.76 inference(unit_resolution,[status(thm)],[1540, 1144])).
% 25.61/25.76 tff(1542,assumption,(ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)), introduced(assumption)).
% 25.61/25.76 tff(1543,assumption,(~ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)), introduced(assumption)).
% 25.61/25.76 tff(1544,plain,
% 25.61/25.76 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))),
% 25.61/25.76 inference(bind,[status(th)],[])).
% 25.61/25.76 tff(1545,plain,
% 25.61/25.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.61/25.76 inference(quant_intro,[status(thm)],[1544])).
% 25.61/25.76 tff(1546,plain,
% 25.61/25.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.61/25.76 inference(rewrite,[status(thm)],[])).
% 25.61/25.76 tff(1547,plain,
% 25.61/25.76 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_4r1r1r1r1(U, V, W, X)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv19_4r1r1r1r1(U, V, W, X)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv19_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))))),
% 25.61/25.76 inference(bind,[status(th)],[])).
% 25.61/25.76 tff(1548,plain,
% 25.61/25.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_4r1r1r1r1(U, V, W, X)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.61/25.76 inference(quant_intro,[status(thm)],[1547])).
% 25.61/25.76 tff(1549,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv19_4r1r1r1r1(U, V, W, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause39')).
% 25.61/25.76 tff(1550,plain,
% 25.61/25.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.61/25.76 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 25.61/25.76 tff(1551,plain,
% 25.61/25.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.61/25.76 inference(modus_ponens,[status(thm)],[1550, 1546])).
% 25.61/25.76 tff(1552,plain,(
% 25.61/25.76 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.61/25.76 inference(skolemize,[status(sab)],[1551])).
% 25.61/25.76 tff(1553,plain,
% 25.61/25.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.61/25.76 inference(modus_ponens,[status(thm)],[1552, 1545])).
% 25.61/25.76 tff(1554,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 25.61/25.76 inference(rewrite,[status(thm)],[])).
% 25.61/25.76 tff(1555,plain,
% 25.61/25.76 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 25.61/25.76 inference(rewrite,[status(thm)],[])).
% 25.61/25.76 tff(1556,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))))),
% 25.61/25.76 inference(monotonicity,[status(thm)],[1555])).
% 25.61/25.76 tff(1557,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 25.61/25.76 inference(transitivity,[status(thm)],[1556, 1554])).
% 25.61/25.76 tff(1558,plain,
% 25.61/25.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 25.61/25.76 inference(quant_inst,[status(thm)],[])).
% 25.61/25.76 tff(1559,plain,
% 25.61/25.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv19_4r1r1r1r1(U, V, W, X) | (~ssPv19_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 25.61/25.76 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 25.61/25.76 tff(1560,plain,
% 25.61/25.76 ($false),
% 25.61/25.76 inference(unit_resolution,[status(thm)],[1559, 19, 1553, 23, 41, 77, 59, 1543, 1542])).
% 25.61/25.76 tff(1561,plain,((~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv19_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)), inference(lemma,lemma(discharge,[]))).
% 25.61/25.76 tff(1562,plain,
% 25.61/25.76 (~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)),
% 25.61/25.76 inference(unit_resolution,[status(thm)],[1561, 1541])).
% 25.61/25.76 tff(1563,assumption,(ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), introduced(assumption)).
% 25.61/25.76 tff(1564,assumption,(~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)), introduced(assumption)).
% 25.61/25.76 tff(1565,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 25.61/25.76 inference(rewrite,[status(thm)],[])).
% 25.61/25.76 tff(1566,plain,
% 25.61/25.76 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 25.61/25.76 inference(rewrite,[status(thm)],[])).
% 25.61/25.76 tff(1567,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 25.61/25.76 inference(monotonicity,[status(thm)],[1566])).
% 25.61/25.76 tff(1568,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 25.61/25.76 inference(transitivity,[status(thm)],[1567, 1565])).
% 25.61/25.76 tff(1569,plain,
% 25.61/25.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 25.61/25.76 inference(quant_inst,[status(thm)],[])).
% 25.61/25.76 tff(1570,plain,
% 25.61/25.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)),
% 25.61/25.76 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 25.61/25.76 tff(1571,plain,
% 25.61/25.76 ($false),
% 25.61/25.76 inference(unit_resolution,[status(thm)],[1570, 19, 87, 23, 41, 77, 59, 1564])).
% 25.61/25.76 tff(1572,plain,(ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)), inference(lemma,lemma(discharge,[]))).
% 25.61/25.76 tff(1573,assumption,(~ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)), introduced(assumption)).
% 25.61/25.76 tff(1574,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.61/25.76 inference(rewrite,[status(thm)],[])).
% 25.61/25.76 tff(1575,plain,
% 25.61/25.76 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.61/25.76 inference(rewrite,[status(thm)],[])).
% 25.61/25.76 tff(1576,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))))),
% 25.61/25.76 inference(monotonicity,[status(thm)],[1575])).
% 25.61/25.76 tff(1577,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.61/25.76 inference(transitivity,[status(thm)],[1576, 1574])).
% 25.61/25.76 tff(1578,plain,
% 25.61/25.76 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.61/25.76 inference(quant_inst,[status(thm)],[])).
% 25.61/25.76 tff(1579,plain,
% 25.61/25.76 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.61/25.76 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 25.61/25.76 tff(1580,plain,
% 25.61/25.76 ($false),
% 25.61/25.76 inference(unit_resolution,[status(thm)],[1579, 19, 1156, 23, 41, 77, 59, 1573, 1572, 1563])).
% 25.61/25.76 tff(1581,plain,((~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv19_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)), inference(lemma,lemma(discharge,[]))).
% 25.61/25.76 tff(1582,plain,
% 25.61/25.76 (~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)),
% 25.61/25.76 inference(unit_resolution,[status(thm)],[1581, 1562])).
% 25.61/25.76 tff(1583,assumption,(~ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), introduced(assumption)).
% 25.61/25.76 tff(1584,assumption,(ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)), introduced(assumption)).
% 25.61/25.76 tff(1585,assumption,(~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), introduced(assumption)).
% 25.61/25.76 tff(1586,plain,
% 25.61/25.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.61/25.77 inference(rewrite,[status(thm)],[])).
% 25.61/25.77 tff(1587,plain,
% 25.61/25.77 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.61/25.77 inference(rewrite,[status(thm)],[])).
% 25.61/25.77 tff(1588,plain,
% 25.61/25.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.61/25.77 inference(monotonicity,[status(thm)],[1587])).
% 25.61/25.77 tff(1589,plain,
% 25.61/25.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.61/25.77 inference(transitivity,[status(thm)],[1588, 1586])).
% 25.61/25.77 tff(1590,plain,
% 25.61/25.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 25.61/25.77 inference(quant_inst,[status(thm)],[])).
% 25.61/25.77 tff(1591,plain,
% 25.61/25.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)),
% 25.61/25.77 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 25.61/25.77 tff(1592,plain,
% 25.61/25.77 ($false),
% 25.61/25.77 inference(unit_resolution,[status(thm)],[1591, 19, 105, 23, 41, 77, 59, 1572, 1585])).
% 25.61/25.77 tff(1593,plain,(ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), inference(lemma,lemma(discharge,[]))).
% 25.61/25.77 tff(1594,plain,
% 25.61/25.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.61/25.77 inference(rewrite,[status(thm)],[])).
% 25.61/25.77 tff(1595,plain,
% 25.61/25.77 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.61/25.77 inference(rewrite,[status(thm)],[])).
% 25.61/25.77 tff(1596,plain,
% 25.61/25.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.61/25.77 inference(monotonicity,[status(thm)],[1595])).
% 25.61/25.77 tff(1597,plain,
% 25.61/25.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.61/25.77 inference(transitivity,[status(thm)],[1596, 1594])).
% 25.61/25.77 tff(1598,plain,
% 25.61/25.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))),
% 25.61/25.77 inference(quant_inst,[status(thm)],[])).
% 25.61/25.77 tff(1599,plain,
% 25.61/25.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv19_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)),
% 25.61/25.77 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 25.61/25.77 tff(1600,plain,
% 25.61/25.77 ($false),
% 25.61/25.77 inference(unit_resolution,[status(thm)],[1599, 19, 1175, 23, 41, 77, 59, 1572, 1593, 1584, 1583])).
% 25.61/25.77 tff(1601,plain,((~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), inference(lemma,lemma(discharge,[]))).
% 25.61/25.77 tff(1602,plain,
% 25.61/25.77 (~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)),
% 25.61/25.77 inference(unit_resolution,[status(thm)],[1601, 1582])).
% 25.61/25.77 tff(1603,assumption,(ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)), introduced(assumption)).
% 25.61/25.77 tff(1604,assumption,(~ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)), introduced(assumption)).
% 25.61/25.77 tff(1605,assumption,(~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)), introduced(assumption)).
% 25.61/25.77 tff(1606,plain,
% 25.61/25.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))),
% 25.61/25.77 inference(rewrite,[status(thm)],[])).
% 25.61/25.77 tff(1607,plain,
% 25.61/25.77 (((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))),
% 25.61/25.77 inference(rewrite,[status(thm)],[])).
% 25.61/25.77 tff(1608,plain,
% 25.61/25.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))),
% 25.61/25.77 inference(monotonicity,[status(thm)],[1607])).
% 25.61/25.77 tff(1609,plain,
% 25.61/25.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))),
% 25.61/25.77 inference(transitivity,[status(thm)],[1608, 1606])).
% 25.61/25.77 tff(1610,plain,
% 25.61/25.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.61/25.77 inference(quant_inst,[status(thm)],[])).
% 25.61/25.77 tff(1611,plain,
% 25.61/25.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)),
% 25.61/25.77 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 25.61/25.77 tff(1612,plain,
% 25.61/25.77 ($false),
% 25.61/25.77 inference(unit_resolution,[status(thm)],[1611, 19, 123, 23, 41, 77, 59, 1572, 1593, 1605])).
% 25.61/25.77 tff(1613,plain,(ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)), inference(lemma,lemma(discharge,[]))).
% 25.61/25.77 tff(1614,plain,
% 25.61/25.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.61/25.78 inference(rewrite,[status(thm)],[])).
% 25.61/25.78 tff(1615,plain,
% 25.61/25.78 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.61/25.78 inference(rewrite,[status(thm)],[])).
% 25.61/25.78 tff(1616,plain,
% 25.61/25.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))))),
% 25.61/25.78 inference(monotonicity,[status(thm)],[1615])).
% 25.61/25.78 tff(1617,plain,
% 25.61/25.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.61/25.78 inference(transitivity,[status(thm)],[1616, 1614])).
% 25.61/25.78 tff(1618,plain,
% 25.61/25.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.61/25.78 inference(quant_inst,[status(thm)],[])).
% 25.61/25.78 tff(1619,plain,
% 25.61/25.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.61/25.78 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 25.61/25.78 tff(1620,plain,
% 25.61/25.78 ($false),
% 25.61/25.78 inference(unit_resolution,[status(thm)],[1619, 19, 1193, 23, 41, 77, 59, 1572, 1593, 1613, 1604, 1603])).
% 25.61/25.78 tff(1621,plain,((~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)), inference(lemma,lemma(discharge,[]))).
% 25.61/25.78 tff(1622,plain,
% 25.61/25.78 (~ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.61/25.78 inference(unit_resolution,[status(thm)],[1621, 1602])).
% 25.61/25.78 tff(1623,assumption,(~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)), introduced(assumption)).
% 25.61/25.78 tff(1624,plain,
% 25.61/25.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.61/25.78 inference(rewrite,[status(thm)],[])).
% 25.61/25.78 tff(1625,plain,
% 25.61/25.78 (((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.61/25.78 inference(rewrite,[status(thm)],[])).
% 25.61/25.78 tff(1626,plain,
% 25.61/25.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.61/25.78 inference(monotonicity,[status(thm)],[1625])).
% 25.61/25.78 tff(1627,plain,
% 25.61/25.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.61/25.78 inference(transitivity,[status(thm)],[1626, 1624])).
% 25.61/25.78 tff(1628,plain,
% 25.61/25.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))),
% 25.61/25.78 inference(quant_inst,[status(thm)],[])).
% 25.61/25.78 tff(1629,plain,
% 25.61/25.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.61/25.78 inference(modus_ponens,[status(thm)],[1628, 1627])).
% 25.61/25.78 tff(1630,plain,
% 25.61/25.78 ($false),
% 25.61/25.78 inference(unit_resolution,[status(thm)],[1629, 19, 140, 23, 41, 77, 59, 1572, 1593, 1613, 1623])).
% 25.61/25.78 tff(1631,plain,(ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 25.61/25.78 tff(1632,plain,
% 25.61/25.78 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.61/25.78 inference(rewrite,[status(thm)],[])).
% 25.61/25.78 tff(1633,plain,
% 25.61/25.78 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.61/25.78 inference(rewrite,[status(thm)],[])).
% 25.61/25.78 tff(1634,plain,
% 25.61/25.78 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.61/25.78 inference(monotonicity,[status(thm)],[1633])).
% 25.61/25.78 tff(1635,plain,
% 25.61/25.78 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.61/25.78 inference(transitivity,[status(thm)],[1634, 1632])).
% 25.61/25.78 tff(1636,plain,
% 25.61/25.78 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.61/25.79 inference(quant_inst,[status(thm)],[])).
% 25.61/25.79 tff(1637,plain,
% 25.61/25.79 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv19_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.61/25.79 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 25.61/25.79 tff(1638,plain,
% 25.61/25.79 ((~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.61/25.79 inference(unit_resolution,[status(thm)],[1637, 19, 1211, 23, 41, 77, 59, 1572, 1593, 1613])).
% 25.61/25.79 tff(1639,plain,
% 25.61/25.79 ((~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.61/25.79 inference(unit_resolution,[status(thm)],[1638, 1631])).
% 25.61/25.79 tff(1640,plain,
% 25.61/25.79 (~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)),
% 25.61/25.79 inference(unit_resolution,[status(thm)],[1639, 1622])).
% 25.61/25.79 tff(1641,assumption,(ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.61/25.79 tff(1642,assumption,(~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.61/25.79 tff(1643,plain,
% 25.61/25.79 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.61/25.79 inference(rewrite,[status(thm)],[])).
% 25.61/25.79 tff(1644,plain,
% 25.61/25.79 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.61/25.79 inference(rewrite,[status(thm)],[])).
% 25.61/25.79 tff(1645,plain,
% 25.61/25.79 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.61/25.79 inference(monotonicity,[status(thm)],[1644])).
% 25.61/25.79 tff(1646,plain,
% 25.61/25.79 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.61/25.79 inference(transitivity,[status(thm)],[1645, 1643])).
% 25.61/25.79 tff(1647,plain,
% 25.61/25.79 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.61/25.79 inference(quant_inst,[status(thm)],[])).
% 25.61/25.79 tff(1648,plain,
% 25.61/25.79 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)),
% 25.61/25.79 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 25.61/25.79 tff(1649,plain,
% 25.61/25.79 ($false),
% 25.61/25.79 inference(unit_resolution,[status(thm)],[1648, 19, 158, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1642])).
% 25.61/25.79 tff(1650,plain,(ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.61/25.79 tff(1651,assumption,(~ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.61/25.79 tff(1652,plain,
% 25.61/25.79 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.61/25.79 inference(rewrite,[status(thm)],[])).
% 25.61/25.79 tff(1653,plain,
% 25.61/25.79 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.61/25.79 inference(rewrite,[status(thm)],[])).
% 25.61/25.79 tff(1654,plain,
% 25.61/25.79 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))))),
% 25.65/25.79 inference(monotonicity,[status(thm)],[1653])).
% 25.65/25.79 tff(1655,plain,
% 25.65/25.79 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.65/25.80 inference(transitivity,[status(thm)],[1654, 1652])).
% 25.65/25.80 tff(1656,plain,
% 25.65/25.80 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.65/25.80 inference(quant_inst,[status(thm)],[])).
% 25.65/25.80 tff(1657,plain,
% 25.65/25.80 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv19_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))),
% 25.65/25.80 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 25.65/25.80 tff(1658,plain,
% 25.65/25.80 ($false),
% 25.65/25.80 inference(unit_resolution,[status(thm)],[1657, 19, 1229, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1651, 1650, 1641])).
% 25.65/25.80 tff(1659,plain,((~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv19_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.65/25.80 tff(1660,plain,
% 25.65/25.80 (~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)),
% 25.65/25.80 inference(unit_resolution,[status(thm)],[1659, 1640])).
% 25.65/25.80 tff(1661,assumption,(ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.65/25.80 tff(1662,assumption,(~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.65/25.80 tff(1663,plain,
% 25.65/25.80 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))),
% 25.65/25.80 inference(rewrite,[status(thm)],[])).
% 25.65/25.80 tff(1664,plain,
% 25.65/25.80 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))),
% 25.65/25.80 inference(rewrite,[status(thm)],[])).
% 25.65/25.80 tff(1665,plain,
% 25.65/25.80 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.65/25.80 inference(monotonicity,[status(thm)],[1664])).
% 25.65/25.80 tff(1666,plain,
% 25.65/25.80 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))),
% 25.65/25.80 inference(transitivity,[status(thm)],[1665, 1663])).
% 25.65/25.80 tff(1667,plain,
% 25.65/25.80 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.65/25.80 inference(quant_inst,[status(thm)],[])).
% 25.65/25.80 tff(1668,plain,
% 25.65/25.80 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)),
% 25.65/25.80 inference(modus_ponens,[status(thm)],[1667, 1666])).
% 25.65/25.80 tff(1669,plain,
% 25.65/25.80 ($false),
% 25.65/25.80 inference(unit_resolution,[status(thm)],[1668, 19, 176, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1662])).
% 25.65/25.80 tff(1670,plain,(ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.65/25.80 tff(1671,assumption,(~ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.65/25.80 tff(1672,plain,
% 25.65/25.80 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.65/25.80 inference(rewrite,[status(thm)],[])).
% 25.65/25.80 tff(1673,plain,
% 25.65/25.80 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.65/25.80 inference(rewrite,[status(thm)],[])).
% 25.65/25.81 tff(1674,plain,
% 25.65/25.81 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))))),
% 25.65/25.81 inference(monotonicity,[status(thm)],[1673])).
% 25.65/25.81 tff(1675,plain,
% 25.65/25.81 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.65/25.81 inference(transitivity,[status(thm)],[1674, 1672])).
% 25.65/25.81 tff(1676,plain,
% 25.65/25.81 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.65/25.81 inference(quant_inst,[status(thm)],[])).
% 25.65/25.81 tff(1677,plain,
% 25.65/25.81 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.65/25.81 inference(modus_ponens,[status(thm)],[1676, 1675])).
% 25.65/25.81 tff(1678,plain,
% 25.65/25.81 ($false),
% 25.65/25.81 inference(unit_resolution,[status(thm)],[1677, 19, 1247, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1671, 1670, 1661])).
% 25.65/25.81 tff(1679,plain,((~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.65/25.81 tff(1680,plain,
% 25.65/25.81 (~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)),
% 25.65/25.81 inference(unit_resolution,[status(thm)],[1679, 1660])).
% 25.65/25.81 tff(1681,assumption,(~ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.65/25.81 tff(1682,assumption,(ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.65/25.81 tff(1683,assumption,(~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.65/25.81 tff(1684,plain,
% 25.65/25.81 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.65/25.81 inference(rewrite,[status(thm)],[])).
% 25.65/25.81 tff(1685,plain,
% 25.65/25.81 (((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.65/25.81 inference(rewrite,[status(thm)],[])).
% 25.65/25.81 tff(1686,plain,
% 25.65/25.81 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.65/25.81 inference(monotonicity,[status(thm)],[1685])).
% 25.65/25.81 tff(1687,plain,
% 25.65/25.81 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.65/25.81 inference(transitivity,[status(thm)],[1686, 1684])).
% 25.65/25.81 tff(1688,plain,
% 25.65/25.81 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.65/25.81 inference(quant_inst,[status(thm)],[])).
% 25.65/25.81 tff(1689,plain,
% 25.65/25.81 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)),
% 25.65/25.81 inference(modus_ponens,[status(thm)],[1688, 1687])).
% 25.65/25.81 tff(1690,plain,
% 25.65/25.82 ($false),
% 25.65/25.82 inference(unit_resolution,[status(thm)],[1689, 19, 194, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1683])).
% 25.65/25.82 tff(1691,plain,(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.65/25.82 tff(1692,plain,
% 25.65/25.82 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.65/25.82 inference(rewrite,[status(thm)],[])).
% 25.65/25.82 tff(1693,plain,
% 25.65/25.82 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.65/25.82 inference(rewrite,[status(thm)],[])).
% 25.65/25.82 tff(1694,plain,
% 25.65/25.82 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))))),
% 25.65/25.82 inference(monotonicity,[status(thm)],[1693])).
% 25.65/25.82 tff(1695,plain,
% 25.65/25.82 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.65/25.82 inference(transitivity,[status(thm)],[1694, 1692])).
% 25.65/25.82 tff(1696,plain,
% 25.65/25.82 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.65/25.82 inference(quant_inst,[status(thm)],[])).
% 25.65/25.82 tff(1697,plain,
% 25.65/25.82 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.65/25.82 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 25.65/25.82 tff(1698,plain,
% 25.65/25.82 ($false),
% 25.65/25.82 inference(unit_resolution,[status(thm)],[1697, 19, 1266, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 1682, 1681])).
% 25.65/25.82 tff(1699,plain,((~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv19_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.65/25.82 tff(1700,plain,
% 25.65/25.82 (~ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.65/25.82 inference(unit_resolution,[status(thm)],[1699, 1680])).
% 25.65/25.82 tff(1701,assumption,(ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.65/25.82 tff(1702,assumption,(ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.65/25.82 tff(1703,assumption,(ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.65/25.82 tff(1704,assumption,(ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)), introduced(assumption)).
% 25.65/25.82 tff(1705,plain,
% 25.65/25.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))),
% 25.65/25.82 inference(rewrite,[status(thm)],[])).
% 25.65/25.82 tff(1706,plain,
% 25.65/25.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))),
% 25.65/25.82 inference(quant_inst,[status(thm)],[])).
% 25.65/25.82 tff(1707,plain,
% 25.65/25.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))),
% 25.65/25.82 inference(modus_ponens,[status(thm)],[1706, 1705])).
% 25.65/25.82 tff(1708,plain,
% 25.65/25.82 (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)),
% 25.65/25.82 inference(unit_resolution,[status(thm)],[1707, 19, 620, 23, 41, 77, 59, 1572])).
% 25.65/25.82 tff(1709,plain,
% 25.65/25.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.65/25.82 inference(rewrite,[status(thm)],[])).
% 25.65/25.82 tff(1710,plain,
% 25.65/25.82 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.65/25.83 inference(rewrite,[status(thm)],[])).
% 25.65/25.83 tff(1711,plain,
% 25.65/25.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))))),
% 25.65/25.83 inference(monotonicity,[status(thm)],[1710])).
% 25.65/25.83 tff(1712,plain,
% 25.65/25.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.65/25.83 inference(transitivity,[status(thm)],[1711, 1709])).
% 25.65/25.83 tff(1713,plain,
% 25.65/25.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.65/25.83 inference(quant_inst,[status(thm)],[])).
% 25.65/25.83 tff(1714,plain,
% 25.65/25.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.65/25.83 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 25.65/25.83 tff(1715,plain,
% 25.65/25.83 ($false),
% 25.65/25.83 inference(unit_resolution,[status(thm)],[1714, 19, 634, 23, 41, 77, 59, 1572, 1708, 1593, 1613, 1704])).
% 25.65/25.83 tff(1716,plain,(~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 25.65/25.83 tff(1717,plain,
% 25.65/25.83 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.65/25.83 inference(rewrite,[status(thm)],[])).
% 25.65/25.83 tff(1718,plain,
% 25.65/25.83 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.65/25.83 inference(rewrite,[status(thm)],[])).
% 25.65/25.83 tff(1719,plain,
% 25.65/25.83 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))))),
% 25.65/25.83 inference(monotonicity,[status(thm)],[1718])).
% 25.65/25.83 tff(1720,plain,
% 25.65/25.83 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.65/25.83 inference(transitivity,[status(thm)],[1719, 1717])).
% 25.65/25.83 tff(1721,plain,
% 25.65/25.83 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.65/25.83 inference(quant_inst,[status(thm)],[])).
% 25.65/25.83 tff(1722,plain,
% 25.65/25.83 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.65/25.83 inference(modus_ponens,[status(thm)],[1721, 1720])).
% 25.65/25.83 tff(1723,plain,
% 25.65/25.83 ($false),
% 25.65/25.83 inference(unit_resolution,[status(thm)],[1722, 19, 652, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1716, 1703])).
% 25.65/25.83 tff(1724,plain,(~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.65/25.83 tff(1725,plain,
% 25.65/25.83 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.68/25.83 inference(rewrite,[status(thm)],[])).
% 25.68/25.83 tff(1726,plain,
% 25.68/25.83 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.68/25.83 inference(rewrite,[status(thm)],[])).
% 25.68/25.83 tff(1727,plain,
% 25.68/25.83 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))))),
% 25.69/25.84 inference(monotonicity,[status(thm)],[1726])).
% 25.69/25.84 tff(1728,plain,
% 25.69/25.84 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.69/25.84 inference(transitivity,[status(thm)],[1727, 1725])).
% 25.69/25.84 tff(1729,plain,
% 25.69/25.84 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.69/25.84 inference(quant_inst,[status(thm)],[])).
% 25.69/25.84 tff(1730,plain,
% 25.69/25.84 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))),
% 25.69/25.84 inference(modus_ponens,[status(thm)],[1729, 1728])).
% 25.69/25.84 tff(1731,plain,
% 25.69/25.84 ($false),
% 25.69/25.84 inference(unit_resolution,[status(thm)],[1730, 19, 671, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1724, 1702])).
% 25.69/25.84 tff(1732,plain,(~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.69/25.84 tff(1733,plain,
% 25.69/25.84 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 25.69/25.84 inference(bind,[status(th)],[])).
% 25.69/25.84 tff(1734,plain,
% 25.69/25.84 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.69/25.84 inference(quant_intro,[status(thm)],[1733])).
% 25.69/25.84 tff(1735,plain,
% 25.69/25.84 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.69/25.84 inference(rewrite,[status(thm)],[])).
% 25.69/25.84 tff(1736,plain,
% 25.69/25.84 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 25.69/25.84 inference(bind,[status(th)],[])).
% 25.69/25.84 tff(1737,plain,
% 25.69/25.84 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.69/25.84 inference(quant_intro,[status(thm)],[1736])).
% 25.69/25.84 tff(1738,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause174')).
% 25.69/25.84 tff(1739,plain,
% 25.69/25.84 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.69/25.84 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 25.69/25.84 tff(1740,plain,
% 25.69/25.84 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.69/25.84 inference(modus_ponens,[status(thm)],[1739, 1735])).
% 25.69/25.84 tff(1741,plain,(
% 25.69/25.84 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.69/25.84 inference(skolemize,[status(sab)],[1740])).
% 25.69/25.84 tff(1742,plain,
% 25.69/25.84 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.69/25.84 inference(modus_ponens,[status(thm)],[1741, 1734])).
% 25.69/25.84 tff(1743,plain,
% 25.69/25.84 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.69/25.84 inference(rewrite,[status(thm)],[])).
% 25.69/25.84 tff(1744,plain,
% 25.69/25.84 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.69/25.84 inference(rewrite,[status(thm)],[])).
% 25.69/25.84 tff(1745,plain,
% 25.69/25.84 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))))),
% 25.69/25.85 inference(monotonicity,[status(thm)],[1744])).
% 25.69/25.85 tff(1746,plain,
% 25.69/25.85 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.69/25.85 inference(transitivity,[status(thm)],[1745, 1743])).
% 25.69/25.85 tff(1747,plain,
% 25.69/25.85 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.69/25.85 inference(quant_inst,[status(thm)],[])).
% 25.69/25.85 tff(1748,plain,
% 25.69/25.85 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.69/25.85 inference(modus_ponens,[status(thm)],[1747, 1746])).
% 25.69/25.85 tff(1749,plain,
% 25.69/25.85 ($false),
% 25.69/25.85 inference(unit_resolution,[status(thm)],[1748, 19, 1742, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1732, 1701])).
% 25.69/25.85 tff(1750,plain,(~ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.69/25.85 tff(1751,assumption,(ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.69/25.85 tff(1752,plain,
% 25.69/25.85 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.69/25.85 inference(bind,[status(th)],[])).
% 25.69/25.85 tff(1753,plain,
% 25.69/25.85 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.69/25.85 inference(quant_intro,[status(thm)],[1752])).
% 25.69/25.85 tff(1754,plain,
% 25.69/25.85 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.69/25.85 inference(rewrite,[status(thm)],[])).
% 25.69/25.85 tff(1755,plain,
% 25.69/25.85 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.69/25.85 inference(bind,[status(th)],[])).
% 25.69/25.85 tff(1756,plain,
% 25.69/25.85 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.69/25.85 inference(quant_intro,[status(thm)],[1755])).
% 25.69/25.85 tff(1757,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause213')).
% 25.69/25.85 tff(1758,plain,
% 25.69/25.85 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.69/25.85 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 25.69/25.85 tff(1759,plain,
% 25.69/25.85 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.69/25.85 inference(modus_ponens,[status(thm)],[1758, 1754])).
% 25.69/25.85 tff(1760,plain,(
% 25.69/25.85 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.69/25.85 inference(skolemize,[status(sab)],[1759])).
% 25.69/25.85 tff(1761,plain,
% 25.69/25.85 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.69/25.85 inference(modus_ponens,[status(thm)],[1760, 1753])).
% 25.69/25.85 tff(1762,plain,
% 25.69/25.85 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.69/25.85 inference(rewrite,[status(thm)],[])).
% 25.69/25.85 tff(1763,plain,
% 25.69/25.85 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.69/25.86 inference(rewrite,[status(thm)],[])).
% 25.69/25.86 tff(1764,plain,
% 25.69/25.86 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))))),
% 25.69/25.86 inference(monotonicity,[status(thm)],[1763])).
% 25.69/25.86 tff(1765,plain,
% 25.69/25.86 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.69/25.86 inference(transitivity,[status(thm)],[1764, 1762])).
% 25.69/25.86 tff(1766,plain,
% 25.69/25.86 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.69/25.86 inference(quant_inst,[status(thm)],[])).
% 25.69/25.86 tff(1767,plain,
% 25.69/25.86 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv14_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.69/25.86 inference(modus_ponens,[status(thm)],[1766, 1765])).
% 25.69/25.86 tff(1768,plain,
% 25.69/25.86 ($false),
% 25.69/25.86 inference(unit_resolution,[status(thm)],[1767, 19, 1761, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 1751, 1750])).
% 25.69/25.86 tff(1769,plain,(~ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.69/25.86 tff(1770,assumption,(~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.69/25.86 tff(1771,assumption,(~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.69/25.86 tff(1772,assumption,(~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.69/25.86 tff(1773,assumption,(~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), introduced(assumption)).
% 25.69/25.86 tff(1774,plain,
% 25.69/25.86 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30)))),
% 25.69/25.86 inference(bind,[status(th)],[])).
% 25.69/25.86 tff(1775,plain,
% 25.69/25.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))),
% 25.69/25.86 inference(quant_intro,[status(thm)],[1774])).
% 25.69/25.86 tff(1776,plain,
% 25.69/25.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))),
% 25.69/25.86 inference(rewrite,[status(thm)],[])).
% 25.69/25.86 tff(1777,plain,
% 25.69/25.86 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), ((((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))), ((((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))))),
% 25.69/25.86 inference(bind,[status(th)],[])).
% 25.69/25.86 tff(1778,plain,
% 25.69/25.86 (![W: $i, V: $i, U: $i, X: $i] : (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))),
% 25.69/25.86 inference(quant_intro,[status(thm)],[1777])).
% 25.69/25.86 tff(1779,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause20')).
% 25.69/25.86 tff(1780,plain,
% 25.69/25.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))),
% 25.69/25.86 inference(modus_ponens,[status(thm)],[1779, 1778])).
% 25.69/25.86 tff(1781,plain,
% 25.69/25.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))),
% 25.69/25.86 inference(modus_ponens,[status(thm)],[1780, 1776])).
% 25.69/25.86 tff(1782,plain,(
% 25.69/25.86 ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))),
% 25.69/25.86 inference(skolemize,[status(sab)],[1781])).
% 25.69/25.86 tff(1783,plain,
% 25.69/25.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))),
% 25.69/25.86 inference(modus_ponens,[status(thm)],[1782, 1775])).
% 25.69/25.86 tff(1784,plain,
% 25.69/25.86 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 25.69/25.86 inference(rewrite,[status(thm)],[])).
% 25.69/25.86 tff(1785,plain,
% 25.69/25.86 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 25.69/25.86 inference(quant_inst,[status(thm)],[])).
% 25.69/25.86 tff(1786,plain,
% 25.69/25.86 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | ssPv16_5r1r1r1r1r1(U, V, W, X, skc30))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)),
% 25.69/25.86 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 25.69/25.86 tff(1787,plain,
% 25.69/25.86 (ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)),
% 25.69/25.86 inference(unit_resolution,[status(thm)],[1786, 19, 1783, 23, 41, 59])).
% 25.69/25.86 tff(1788,plain,
% 25.69/25.86 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))))),
% 25.69/25.86 inference(bind,[status(th)],[])).
% 25.69/25.86 tff(1789,plain,
% 25.69/25.86 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.69/25.86 inference(quant_intro,[status(thm)],[1788])).
% 25.69/25.86 tff(1790,plain,
% 25.69/25.86 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.69/25.86 inference(rewrite,[status(thm)],[])).
% 25.69/25.86 tff(1791,plain,
% 25.69/25.86 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))))), (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))))),
% 25.69/25.86 inference(bind,[status(th)],[])).
% 25.69/25.86 tff(1792,plain,
% 25.69/25.86 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.69/25.86 inference(quant_intro,[status(thm)],[1791])).
% 25.69/25.86 tff(1793,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause64')).
% 25.69/25.86 tff(1794,plain,
% 25.69/25.86 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.69/25.86 inference(modus_ponens,[status(thm)],[1793, 1792])).
% 25.69/25.86 tff(1795,plain,
% 25.69/25.86 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.69/25.86 inference(modus_ponens,[status(thm)],[1794, 1790])).
% 25.69/25.86 tff(1796,plain,(
% 25.69/25.86 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.69/25.86 inference(skolemize,[status(sab)],[1795])).
% 25.69/25.86 tff(1797,plain,
% 25.69/25.86 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.69/25.86 inference(modus_ponens,[status(thm)],[1796, 1789])).
% 25.69/25.86 tff(1798,plain,
% 25.69/25.86 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.69/25.86 inference(rewrite,[status(thm)],[])).
% 25.69/25.86 tff(1799,plain,
% 25.69/25.86 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.69/25.87 inference(rewrite,[status(thm)],[])).
% 25.69/25.87 tff(1800,plain,
% 25.69/25.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.69/25.87 inference(monotonicity,[status(thm)],[1799])).
% 25.69/25.87 tff(1801,plain,
% 25.69/25.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.69/25.87 inference(transitivity,[status(thm)],[1800, 1798])).
% 25.69/25.87 tff(1802,plain,
% 25.69/25.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 25.69/25.87 inference(quant_inst,[status(thm)],[])).
% 25.69/25.87 tff(1803,plain,
% 25.69/25.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)),
% 25.69/25.87 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 25.69/25.87 tff(1804,plain,
% 25.69/25.87 ($false),
% 25.69/25.87 inference(unit_resolution,[status(thm)],[1803, 19, 1797, 23, 41, 77, 59, 1787, 1572, 1773])).
% 25.69/25.87 tff(1805,plain,(ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), inference(lemma,lemma(discharge,[]))).
% 25.69/25.87 tff(1806,assumption,(~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)), introduced(assumption)).
% 25.69/25.87 tff(1807,plain,
% 25.69/25.87 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 25.69/25.87 inference(bind,[status(th)],[])).
% 25.69/25.87 tff(1808,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.69/25.87 inference(quant_intro,[status(thm)],[1807])).
% 25.69/25.87 tff(1809,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.69/25.87 inference(rewrite,[status(thm)],[])).
% 25.69/25.87 tff(1810,plain,
% 25.69/25.87 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 25.69/25.87 inference(bind,[status(th)],[])).
% 25.69/25.87 tff(1811,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.69/25.87 inference(quant_intro,[status(thm)],[1810])).
% 25.69/25.87 tff(1812,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause86')).
% 25.69/25.87 tff(1813,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.69/25.87 inference(modus_ponens,[status(thm)],[1812, 1811])).
% 25.69/25.87 tff(1814,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.69/25.87 inference(modus_ponens,[status(thm)],[1813, 1809])).
% 25.69/25.87 tff(1815,plain,(
% 25.69/25.87 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.69/25.87 inference(skolemize,[status(sab)],[1814])).
% 25.69/25.87 tff(1816,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.69/25.87 inference(modus_ponens,[status(thm)],[1815, 1808])).
% 25.69/25.87 tff(1817,plain,
% 25.69/25.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.69/25.87 inference(rewrite,[status(thm)],[])).
% 25.69/25.87 tff(1818,plain,
% 25.69/25.87 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.69/25.87 inference(rewrite,[status(thm)],[])).
% 25.69/25.87 tff(1819,plain,
% 25.69/25.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))))),
% 25.69/25.87 inference(monotonicity,[status(thm)],[1818])).
% 25.69/25.87 tff(1820,plain,
% 25.69/25.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.69/25.87 inference(transitivity,[status(thm)],[1819, 1817])).
% 25.69/25.87 tff(1821,plain,
% 25.69/25.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.69/25.87 inference(quant_inst,[status(thm)],[])).
% 25.69/25.87 tff(1822,plain,
% 25.69/25.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.69/25.87 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 25.69/25.87 tff(1823,plain,
% 25.69/25.87 ($false),
% 25.69/25.87 inference(unit_resolution,[status(thm)],[1822, 19, 1816, 23, 41, 77, 59, 1572, 1593, 1806, 1805])).
% 25.69/25.87 tff(1824,plain,(ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)), inference(lemma,lemma(discharge,[]))).
% 25.69/25.87 tff(1825,plain,
% 25.69/25.87 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 25.69/25.87 inference(bind,[status(th)],[])).
% 25.69/25.87 tff(1826,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.69/25.87 inference(quant_intro,[status(thm)],[1825])).
% 25.69/25.87 tff(1827,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.69/25.87 inference(rewrite,[status(thm)],[])).
% 25.69/25.87 tff(1828,plain,
% 25.69/25.87 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 25.69/25.87 inference(bind,[status(th)],[])).
% 25.69/25.87 tff(1829,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.69/25.87 inference(quant_intro,[status(thm)],[1828])).
% 25.69/25.87 tff(1830,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause109')).
% 25.69/25.87 tff(1831,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.69/25.87 inference(modus_ponens,[status(thm)],[1830, 1829])).
% 25.69/25.87 tff(1832,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.69/25.87 inference(modus_ponens,[status(thm)],[1831, 1827])).
% 25.69/25.87 tff(1833,plain,(
% 25.69/25.87 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.69/25.87 inference(skolemize,[status(sab)],[1832])).
% 25.69/25.87 tff(1834,plain,
% 25.69/25.87 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.69/25.87 inference(modus_ponens,[status(thm)],[1833, 1826])).
% 25.69/25.87 tff(1835,plain,
% 25.69/25.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.69/25.88 inference(rewrite,[status(thm)],[])).
% 25.69/25.88 tff(1836,plain,
% 25.69/25.88 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.69/25.88 inference(rewrite,[status(thm)],[])).
% 25.69/25.88 tff(1837,plain,
% 25.69/25.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.69/25.88 inference(monotonicity,[status(thm)],[1836])).
% 25.69/25.88 tff(1838,plain,
% 25.69/25.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.69/25.88 inference(transitivity,[status(thm)],[1837, 1835])).
% 25.69/25.88 tff(1839,plain,
% 25.69/25.88 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))),
% 25.69/25.88 inference(quant_inst,[status(thm)],[])).
% 25.69/25.88 tff(1840,plain,
% 25.69/25.88 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.69/25.88 inference(modus_ponens,[status(thm)],[1839, 1838])).
% 25.69/25.88 tff(1841,plain,
% 25.69/25.88 ((~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.69/25.88 inference(unit_resolution,[status(thm)],[1840, 19, 1834, 23, 41, 77, 59, 1572, 1593, 1824])).
% 25.69/25.88 tff(1842,plain,
% 25.69/25.88 (ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.69/25.88 inference(unit_resolution,[status(thm)],[1841, 1613])).
% 25.69/25.88 tff(1843,plain,
% 25.69/25.88 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 25.69/25.88 inference(bind,[status(th)],[])).
% 25.69/25.88 tff(1844,plain,
% 25.69/25.88 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.69/25.88 inference(quant_intro,[status(thm)],[1843])).
% 25.69/25.88 tff(1845,plain,
% 25.69/25.88 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.69/25.88 inference(rewrite,[status(thm)],[])).
% 25.69/25.88 tff(1846,plain,
% 25.69/25.88 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 25.69/25.88 inference(bind,[status(th)],[])).
% 25.69/25.88 tff(1847,plain,
% 25.69/25.88 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.69/25.88 inference(quant_intro,[status(thm)],[1846])).
% 25.69/25.88 tff(1848,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause120')).
% 25.69/25.88 tff(1849,plain,
% 25.69/25.88 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.69/25.88 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 25.69/25.88 tff(1850,plain,
% 25.69/25.88 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.69/25.88 inference(modus_ponens,[status(thm)],[1849, 1845])).
% 25.69/25.88 tff(1851,plain,(
% 25.69/25.88 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.69/25.88 inference(skolemize,[status(sab)],[1850])).
% 25.69/25.88 tff(1852,plain,
% 25.69/25.88 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.69/25.88 inference(modus_ponens,[status(thm)],[1851, 1844])).
% 25.69/25.88 tff(1853,plain,
% 25.69/25.88 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.69/25.88 inference(rewrite,[status(thm)],[])).
% 25.69/25.88 tff(1854,plain,
% 25.69/25.88 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.69/25.88 inference(rewrite,[status(thm)],[])).
% 25.69/25.88 tff(1855,plain,
% 25.69/25.88 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.69/25.88 inference(monotonicity,[status(thm)],[1854])).
% 25.69/25.88 tff(1856,plain,
% 25.69/25.88 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.69/25.89 inference(transitivity,[status(thm)],[1855, 1853])).
% 25.69/25.89 tff(1857,plain,
% 25.69/25.89 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.69/25.89 inference(quant_inst,[status(thm)],[])).
% 25.69/25.89 tff(1858,plain,
% 25.69/25.89 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)),
% 25.69/25.89 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 25.69/25.89 tff(1859,plain,
% 25.69/25.89 ((~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)),
% 25.69/25.89 inference(unit_resolution,[status(thm)],[1858, 19, 1852, 23, 41, 77, 59, 1572, 1593, 1613, 1842])).
% 25.69/25.89 tff(1860,plain,
% 25.69/25.89 (ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)),
% 25.69/25.89 inference(unit_resolution,[status(thm)],[1859, 1631])).
% 25.69/25.89 tff(1861,plain,
% 25.69/25.89 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 25.69/25.89 inference(bind,[status(th)],[])).
% 25.69/25.89 tff(1862,plain,
% 25.69/25.89 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.69/25.89 inference(quant_intro,[status(thm)],[1861])).
% 25.69/25.89 tff(1863,plain,
% 25.69/25.89 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.69/25.89 inference(rewrite,[status(thm)],[])).
% 25.69/25.89 tff(1864,plain,
% 25.69/25.89 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 25.69/25.89 inference(bind,[status(th)],[])).
% 25.69/25.89 tff(1865,plain,
% 25.69/25.89 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.69/25.89 inference(quant_intro,[status(thm)],[1864])).
% 25.69/25.89 tff(1866,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause149')).
% 25.69/25.89 tff(1867,plain,
% 25.69/25.89 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.69/25.89 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 25.69/25.89 tff(1868,plain,
% 25.69/25.89 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.69/25.89 inference(modus_ponens,[status(thm)],[1867, 1863])).
% 25.69/25.89 tff(1869,plain,(
% 25.69/25.89 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.69/25.89 inference(skolemize,[status(sab)],[1868])).
% 25.69/25.89 tff(1870,plain,
% 25.69/25.89 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.69/25.89 inference(modus_ponens,[status(thm)],[1869, 1862])).
% 25.69/25.89 tff(1871,plain,
% 25.69/25.89 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.69/25.89 inference(rewrite,[status(thm)],[])).
% 25.69/25.89 tff(1872,plain,
% 25.69/25.89 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.69/25.89 inference(rewrite,[status(thm)],[])).
% 25.69/25.89 tff(1873,plain,
% 25.69/25.89 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))))),
% 25.69/25.89 inference(monotonicity,[status(thm)],[1872])).
% 25.69/25.89 tff(1874,plain,
% 25.69/25.89 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.69/25.89 inference(transitivity,[status(thm)],[1873, 1871])).
% 25.69/25.89 tff(1875,plain,
% 25.69/25.89 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.69/25.89 inference(quant_inst,[status(thm)],[])).
% 25.69/25.89 tff(1876,plain,
% 25.69/25.89 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.69/25.89 inference(modus_ponens,[status(thm)],[1875, 1874])).
% 25.69/25.89 tff(1877,plain,
% 25.69/25.89 ($false),
% 25.69/25.89 inference(unit_resolution,[status(thm)],[1876, 19, 1870, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1860, 1650, 1772])).
% 25.69/25.89 tff(1878,plain,(ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.69/25.89 tff(1879,plain,
% 25.69/25.89 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.69/25.90 inference(bind,[status(th)],[])).
% 25.69/25.90 tff(1880,plain,
% 25.69/25.90 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.69/25.90 inference(quant_intro,[status(thm)],[1879])).
% 25.69/25.90 tff(1881,plain,
% 25.69/25.90 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.69/25.90 inference(rewrite,[status(thm)],[])).
% 25.69/25.90 tff(1882,plain,
% 25.69/25.90 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.75/25.90 inference(bind,[status(th)],[])).
% 25.75/25.90 tff(1883,plain,
% 25.75/25.90 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.75/25.90 inference(quant_intro,[status(thm)],[1882])).
% 25.75/25.90 tff(1884,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause182')).
% 25.75/25.90 tff(1885,plain,
% 25.75/25.90 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.75/25.90 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 25.75/25.90 tff(1886,plain,
% 25.75/25.90 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.75/25.90 inference(modus_ponens,[status(thm)],[1885, 1881])).
% 25.75/25.90 tff(1887,plain,(
% 25.75/25.90 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.75/25.90 inference(skolemize,[status(sab)],[1886])).
% 25.75/25.90 tff(1888,plain,
% 25.75/25.90 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.75/25.90 inference(modus_ponens,[status(thm)],[1887, 1880])).
% 25.75/25.90 tff(1889,plain,
% 25.75/25.90 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.75/25.90 inference(rewrite,[status(thm)],[])).
% 25.75/25.90 tff(1890,plain,
% 25.75/25.90 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.75/25.90 inference(rewrite,[status(thm)],[])).
% 25.75/25.90 tff(1891,plain,
% 25.75/25.90 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))))),
% 25.75/25.90 inference(monotonicity,[status(thm)],[1890])).
% 25.75/25.90 tff(1892,plain,
% 25.75/25.90 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.75/25.90 inference(transitivity,[status(thm)],[1891, 1889])).
% 25.75/25.90 tff(1893,plain,
% 25.75/25.90 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.75/25.91 inference(quant_inst,[status(thm)],[])).
% 25.75/25.91 tff(1894,plain,
% 25.75/25.91 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))),
% 25.75/25.91 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 25.75/25.91 tff(1895,plain,
% 25.75/25.91 ($false),
% 25.75/25.91 inference(unit_resolution,[status(thm)],[1894, 19, 1888, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1878, 1771])).
% 25.75/25.91 tff(1896,plain,(ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.75/25.91 tff(1897,plain,
% 25.75/25.91 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 25.75/25.91 inference(bind,[status(th)],[])).
% 25.75/25.91 tff(1898,plain,
% 25.75/25.91 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.91 inference(quant_intro,[status(thm)],[1897])).
% 25.75/25.91 tff(1899,plain,
% 25.75/25.91 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.91 inference(rewrite,[status(thm)],[])).
% 25.75/25.91 tff(1900,plain,
% 25.75/25.91 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 25.75/25.91 inference(bind,[status(th)],[])).
% 25.75/25.91 tff(1901,plain,
% 25.75/25.91 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.91 inference(quant_intro,[status(thm)],[1900])).
% 25.75/25.91 tff(1902,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause200')).
% 25.75/25.91 tff(1903,plain,
% 25.75/25.91 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.91 inference(modus_ponens,[status(thm)],[1902, 1901])).
% 25.75/25.91 tff(1904,plain,
% 25.75/25.91 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.91 inference(modus_ponens,[status(thm)],[1903, 1899])).
% 25.75/25.91 tff(1905,plain,(
% 25.75/25.91 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.91 inference(skolemize,[status(sab)],[1904])).
% 25.75/25.91 tff(1906,plain,
% 25.75/25.91 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.91 inference(modus_ponens,[status(thm)],[1905, 1898])).
% 25.75/25.91 tff(1907,plain,
% 25.75/25.91 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.75/25.91 inference(rewrite,[status(thm)],[])).
% 25.75/25.91 tff(1908,plain,
% 25.75/25.91 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.75/25.91 inference(rewrite,[status(thm)],[])).
% 25.75/25.91 tff(1909,plain,
% 25.75/25.91 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))))),
% 25.75/25.92 inference(monotonicity,[status(thm)],[1908])).
% 25.75/25.92 tff(1910,plain,
% 25.75/25.92 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.75/25.92 inference(transitivity,[status(thm)],[1909, 1907])).
% 25.75/25.92 tff(1911,plain,
% 25.75/25.92 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.75/25.92 inference(quant_inst,[status(thm)],[])).
% 25.75/25.92 tff(1912,plain,
% 25.75/25.92 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.75/25.92 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 25.75/25.92 tff(1913,plain,
% 25.75/25.92 ($false),
% 25.75/25.92 inference(unit_resolution,[status(thm)],[1912, 19, 1906, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 1896, 1770])).
% 25.75/25.92 tff(1914,plain,(ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.75/25.92 tff(1915,plain,
% 25.75/25.92 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.75/25.92 inference(bind,[status(th)],[])).
% 25.75/25.92 tff(1916,plain,
% 25.75/25.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.92 inference(quant_intro,[status(thm)],[1915])).
% 25.75/25.92 tff(1917,plain,
% 25.75/25.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.92 inference(rewrite,[status(thm)],[])).
% 25.75/25.92 tff(1918,plain,
% 25.75/25.92 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.75/25.92 inference(bind,[status(th)],[])).
% 25.75/25.92 tff(1919,plain,
% 25.75/25.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.92 inference(quant_intro,[status(thm)],[1918])).
% 25.75/25.92 tff(1920,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((((~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause253')).
% 25.75/25.92 tff(1921,plain,
% 25.75/25.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.92 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 25.75/25.92 tff(1922,plain,
% 25.75/25.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.92 inference(modus_ponens,[status(thm)],[1921, 1917])).
% 25.75/25.92 tff(1923,plain,(
% 25.75/25.92 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.92 inference(skolemize,[status(sab)],[1922])).
% 25.75/25.92 tff(1924,plain,
% 25.75/25.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.92 inference(modus_ponens,[status(thm)],[1923, 1916])).
% 25.75/25.92 tff(1925,plain,
% 25.75/25.92 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.75/25.93 inference(rewrite,[status(thm)],[])).
% 25.75/25.93 tff(1926,plain,
% 25.75/25.93 (((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.75/25.93 inference(rewrite,[status(thm)],[])).
% 25.75/25.93 tff(1927,plain,
% 25.75/25.93 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))))),
% 25.75/25.93 inference(monotonicity,[status(thm)],[1926])).
% 25.75/25.93 tff(1928,plain,
% 25.75/25.93 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.75/25.93 inference(transitivity,[status(thm)],[1927, 1925])).
% 25.75/25.93 tff(1929,plain,
% 25.75/25.93 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.75/25.93 inference(quant_inst,[status(thm)],[])).
% 25.75/25.93 tff(1930,plain,
% 25.75/25.93 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.75/25.93 inference(modus_ponens,[status(thm)],[1929, 1928])).
% 25.75/25.93 tff(1931,plain,
% 25.75/25.93 (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv14_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.75/25.93 inference(unit_resolution,[status(thm)],[1930, 19, 1924, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 1914])).
% 25.75/25.93 tff(1932,plain,
% 25.75/25.93 (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | ssPv19_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.75/25.93 inference(unit_resolution,[status(thm)],[1931, 1769])).
% 25.75/25.93 tff(1933,plain,
% 25.75/25.93 (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.75/25.93 inference(unit_resolution,[status(thm)],[1932, 1700])).
% 25.75/25.93 tff(1934,assumption,(~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 25.75/25.93 tff(1935,assumption,(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.75/25.93 tff(1936,assumption,(~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.75/25.93 tff(1937,plain,
% 25.75/25.93 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.75/25.93 inference(rewrite,[status(thm)],[])).
% 25.75/25.93 tff(1938,plain,
% 25.75/25.93 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.75/25.94 inference(rewrite,[status(thm)],[])).
% 25.75/25.94 tff(1939,plain,
% 25.75/25.94 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.75/25.94 inference(monotonicity,[status(thm)],[1938])).
% 25.75/25.94 tff(1940,plain,
% 25.75/25.94 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.75/25.94 inference(transitivity,[status(thm)],[1939, 1937])).
% 25.75/25.94 tff(1941,plain,
% 25.75/25.94 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.75/25.94 inference(quant_inst,[status(thm)],[])).
% 25.75/25.94 tff(1942,plain,
% 25.75/25.94 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.75/25.94 inference(modus_ponens,[status(thm)],[1941, 1940])).
% 25.75/25.94 tff(1943,plain,
% 25.75/25.94 ($false),
% 25.75/25.94 inference(unit_resolution,[status(thm)],[1942, 19, 212, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 1936])).
% 25.75/25.94 tff(1944,plain,(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.75/25.94 tff(1945,plain,
% 25.75/25.94 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.75/25.94 inference(bind,[status(th)],[])).
% 25.75/25.94 tff(1946,plain,
% 25.75/25.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.94 inference(quant_intro,[status(thm)],[1945])).
% 25.75/25.94 tff(1947,plain,
% 25.75/25.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.94 inference(rewrite,[status(thm)],[])).
% 25.75/25.94 tff(1948,plain,
% 25.75/25.94 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.75/25.94 inference(bind,[status(th)],[])).
% 25.75/25.94 tff(1949,plain,
% 25.75/25.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.94 inference(quant_intro,[status(thm)],[1948])).
% 25.75/25.94 tff(1950,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause225')).
% 25.75/25.94 tff(1951,plain,
% 25.75/25.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.94 inference(modus_ponens,[status(thm)],[1950, 1949])).
% 25.75/25.94 tff(1952,plain,
% 25.75/25.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.94 inference(modus_ponens,[status(thm)],[1951, 1947])).
% 25.75/25.94 tff(1953,plain,(
% 25.75/25.94 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.95 inference(skolemize,[status(sab)],[1952])).
% 25.75/25.95 tff(1954,plain,
% 25.75/25.95 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.75/25.95 inference(modus_ponens,[status(thm)],[1953, 1946])).
% 25.75/25.95 tff(1955,plain,
% 25.75/25.95 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.75/25.95 inference(rewrite,[status(thm)],[])).
% 25.75/25.95 tff(1956,plain,
% 25.75/25.95 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.75/25.95 inference(rewrite,[status(thm)],[])).
% 25.75/25.95 tff(1957,plain,
% 25.75/25.95 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.75/25.95 inference(monotonicity,[status(thm)],[1956])).
% 25.75/25.95 tff(1958,plain,
% 25.75/25.95 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.75/25.95 inference(transitivity,[status(thm)],[1957, 1955])).
% 25.75/25.95 tff(1959,plain,
% 25.75/25.95 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.75/25.95 inference(quant_inst,[status(thm)],[])).
% 25.75/25.95 tff(1960,plain,
% 25.75/25.95 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 25.75/25.95 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 25.75/25.95 tff(1961,plain,
% 25.75/25.95 ($false),
% 25.75/25.95 inference(unit_resolution,[status(thm)],[1960, 19, 1954, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 1944, 1935, 1934])).
% 25.75/25.95 tff(1962,plain,(ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.75/25.95 tff(1963,plain,
% 25.75/25.95 (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 25.75/25.95 inference(unit_resolution,[status(thm)],[1962, 1933])).
% 25.75/25.95 tff(1964,assumption,(ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.75/25.95 tff(1965,assumption,(ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.75/25.95 tff(1966,assumption,(ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)), introduced(assumption)).
% 25.75/25.95 tff(1967,plain,
% 25.75/25.95 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.75/25.95 inference(rewrite,[status(thm)],[])).
% 25.75/25.95 tff(1968,plain,
% 25.75/25.95 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.75/25.95 inference(quant_inst,[status(thm)],[])).
% 25.75/25.95 tff(1969,plain,
% 25.75/25.95 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.75/25.96 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 25.75/25.96 tff(1970,plain,
% 25.75/25.96 ($false),
% 25.75/25.96 inference(unit_resolution,[status(thm)],[1969, 19, 690, 23, 41, 77, 59, 1572, 1593, 1966])).
% 25.75/25.96 tff(1971,plain,(~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 25.75/25.96 tff(1972,assumption,(ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.75/25.96 tff(1973,plain,
% 25.75/25.96 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.75/25.96 inference(rewrite,[status(thm)],[])).
% 25.75/25.96 tff(1974,plain,
% 25.75/25.96 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.75/25.96 inference(rewrite,[status(thm)],[])).
% 25.75/25.96 tff(1975,plain,
% 25.75/25.96 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))))),
% 25.75/25.96 inference(monotonicity,[status(thm)],[1974])).
% 25.75/25.96 tff(1976,plain,
% 25.75/25.96 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.75/25.96 inference(transitivity,[status(thm)],[1975, 1973])).
% 25.75/25.96 tff(1977,plain,
% 25.75/25.96 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.75/25.96 inference(quant_inst,[status(thm)],[])).
% 25.75/25.96 tff(1978,plain,
% 25.75/25.96 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.75/25.96 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 25.75/25.96 tff(1979,plain,
% 25.75/25.96 ($false),
% 25.75/25.96 inference(unit_resolution,[status(thm)],[1978, 19, 705, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1972, 1971])).
% 25.75/25.96 tff(1980,plain,(~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.75/25.96 tff(1981,plain,
% 25.75/25.96 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.75/25.96 inference(rewrite,[status(thm)],[])).
% 25.75/25.96 tff(1982,plain,
% 25.75/25.96 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.75/25.96 inference(rewrite,[status(thm)],[])).
% 25.75/25.96 tff(1983,plain,
% 25.75/25.96 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))))),
% 25.75/25.96 inference(monotonicity,[status(thm)],[1982])).
% 25.75/25.96 tff(1984,plain,
% 25.75/25.96 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.75/25.96 inference(transitivity,[status(thm)],[1983, 1981])).
% 25.75/25.96 tff(1985,plain,
% 25.75/25.96 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.75/25.96 inference(quant_inst,[status(thm)],[])).
% 25.75/25.96 tff(1986,plain,
% 25.75/25.96 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.75/25.97 inference(modus_ponens,[status(thm)],[1985, 1984])).
% 25.75/25.97 tff(1987,plain,
% 25.75/25.97 ((~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.75/25.97 inference(unit_resolution,[status(thm)],[1986, 19, 724, 23, 41, 77, 59, 1572, 1593, 1613])).
% 25.75/25.97 tff(1988,plain,
% 25.75/25.97 ((~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.75/25.97 inference(unit_resolution,[status(thm)],[1987, 1631])).
% 25.75/25.97 tff(1989,plain,
% 25.75/25.97 ((~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)),
% 25.75/25.97 inference(unit_resolution,[status(thm)],[1988, 1650])).
% 25.75/25.97 tff(1990,plain,
% 25.75/25.97 (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)),
% 25.75/25.97 inference(unit_resolution,[status(thm)],[1989, 1980])).
% 25.75/25.97 tff(1991,plain,
% 25.75/25.97 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 25.75/25.97 inference(bind,[status(th)],[])).
% 25.75/25.97 tff(1992,plain,
% 25.75/25.97 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.97 inference(quant_intro,[status(thm)],[1991])).
% 25.75/25.97 tff(1993,plain,
% 25.75/25.97 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.97 inference(rewrite,[status(thm)],[])).
% 25.75/25.97 tff(1994,plain,
% 25.75/25.97 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 25.75/25.97 inference(bind,[status(th)],[])).
% 25.75/25.97 tff(1995,plain,
% 25.75/25.97 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.97 inference(quant_intro,[status(thm)],[1994])).
% 25.75/25.97 tff(1996,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause175')).
% 25.75/25.97 tff(1997,plain,
% 25.75/25.97 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.97 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 25.75/25.97 tff(1998,plain,
% 25.75/25.97 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.97 inference(modus_ponens,[status(thm)],[1997, 1993])).
% 25.75/25.97 tff(1999,plain,(
% 25.75/25.97 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.97 inference(skolemize,[status(sab)],[1998])).
% 25.75/25.97 tff(2000,plain,
% 25.75/25.97 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.75/25.97 inference(modus_ponens,[status(thm)],[1999, 1992])).
% 25.75/25.97 tff(2001,plain,
% 25.75/25.97 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.75/25.97 inference(rewrite,[status(thm)],[])).
% 25.75/25.97 tff(2002,plain,
% 25.75/25.97 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.75/25.97 inference(rewrite,[status(thm)],[])).
% 25.75/25.97 tff(2003,plain,
% 25.75/25.97 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))))),
% 25.82/25.97 inference(monotonicity,[status(thm)],[2002])).
% 25.82/25.97 tff(2004,plain,
% 25.82/25.97 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.82/25.98 inference(transitivity,[status(thm)],[2003, 2001])).
% 25.82/25.98 tff(2005,plain,
% 25.82/25.98 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.82/25.98 inference(quant_inst,[status(thm)],[])).
% 25.82/25.98 tff(2006,plain,
% 25.82/25.98 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.82/25.98 inference(modus_ponens,[status(thm)],[2005, 2004])).
% 25.82/25.98 tff(2007,plain,
% 25.82/25.98 ($false),
% 25.82/25.98 inference(unit_resolution,[status(thm)],[2006, 19, 2000, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1990, 1650, 1670, 1965])).
% 25.82/25.98 tff(2008,plain,(~ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.82/25.98 tff(2009,plain,
% 25.82/25.98 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.82/25.98 inference(bind,[status(th)],[])).
% 25.82/25.98 tff(2010,plain,
% 25.82/25.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/25.98 inference(quant_intro,[status(thm)],[2009])).
% 25.82/25.98 tff(2011,plain,
% 25.82/25.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/25.98 inference(rewrite,[status(thm)],[])).
% 25.82/25.98 tff(2012,plain,
% 25.82/25.98 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.82/25.98 inference(bind,[status(th)],[])).
% 25.82/25.98 tff(2013,plain,
% 25.82/25.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/25.98 inference(quant_intro,[status(thm)],[2012])).
% 25.82/25.98 tff(2014,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause214')).
% 25.82/25.98 tff(2015,plain,
% 25.82/25.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/25.98 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 25.82/25.98 tff(2016,plain,
% 25.82/25.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/25.98 inference(modus_ponens,[status(thm)],[2015, 2011])).
% 25.82/25.98 tff(2017,plain,(
% 25.82/25.98 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/25.98 inference(skolemize,[status(sab)],[2016])).
% 25.82/25.98 tff(2018,plain,
% 25.82/25.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/25.98 inference(modus_ponens,[status(thm)],[2017, 2010])).
% 25.82/25.98 tff(2019,plain,
% 25.82/25.98 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.82/25.98 inference(rewrite,[status(thm)],[])).
% 25.82/25.98 tff(2020,plain,
% 25.82/25.98 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.82/25.98 inference(rewrite,[status(thm)],[])).
% 25.82/25.98 tff(2021,plain,
% 25.82/25.98 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.82/25.99 inference(monotonicity,[status(thm)],[2020])).
% 25.82/25.99 tff(2022,plain,
% 25.82/25.99 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))),
% 25.82/25.99 inference(transitivity,[status(thm)],[2021, 2019])).
% 25.82/25.99 tff(2023,plain,
% 25.82/25.99 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.82/25.99 inference(quant_inst,[status(thm)],[])).
% 25.82/25.99 tff(2024,plain,
% 25.82/25.99 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)),
% 25.82/25.99 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 25.82/25.99 tff(2025,plain,
% 25.82/25.99 ($false),
% 25.82/25.99 inference(unit_resolution,[status(thm)],[2024, 19, 2018, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 2008, 1964])).
% 25.82/25.99 tff(2026,plain,(~ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 25.82/25.99 tff(2027,assumption,(ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 25.82/25.99 tff(2028,plain,
% 25.82/25.99 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 25.82/25.99 inference(bind,[status(th)],[])).
% 25.82/25.99 tff(2029,plain,
% 25.82/25.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/25.99 inference(quant_intro,[status(thm)],[2028])).
% 25.82/25.99 tff(2030,plain,
% 25.82/25.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/25.99 inference(rewrite,[status(thm)],[])).
% 25.82/25.99 tff(2031,plain,
% 25.82/25.99 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 25.82/25.99 inference(bind,[status(th)],[])).
% 25.82/25.99 tff(2032,plain,
% 25.82/25.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/25.99 inference(quant_intro,[status(thm)],[2031])).
% 25.82/25.99 tff(2033,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause233')).
% 25.82/25.99 tff(2034,plain,
% 25.82/25.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/25.99 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 25.82/25.99 tff(2035,plain,
% 25.82/25.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/25.99 inference(modus_ponens,[status(thm)],[2034, 2030])).
% 25.82/25.99 tff(2036,plain,(
% 25.82/25.99 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/25.99 inference(skolemize,[status(sab)],[2035])).
% 25.82/25.99 tff(2037,plain,
% 25.82/25.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/25.99 inference(modus_ponens,[status(thm)],[2036, 2029])).
% 25.82/25.99 tff(2038,plain,
% 25.82/25.99 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.00 inference(rewrite,[status(thm)],[])).
% 25.82/26.00 tff(2039,plain,
% 25.82/26.00 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.00 inference(rewrite,[status(thm)],[])).
% 25.82/26.00 tff(2040,plain,
% 25.82/26.00 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))))),
% 25.82/26.00 inference(monotonicity,[status(thm)],[2039])).
% 25.82/26.00 tff(2041,plain,
% 25.82/26.00 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.00 inference(transitivity,[status(thm)],[2040, 2038])).
% 25.82/26.00 tff(2042,plain,
% 25.82/26.00 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.00 inference(quant_inst,[status(thm)],[])).
% 25.82/26.00 tff(2043,plain,
% 25.82/26.00 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv13_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.82/26.00 inference(modus_ponens,[status(thm)],[2042, 2041])).
% 25.82/26.00 tff(2044,plain,
% 25.82/26.00 ($false),
% 25.82/26.00 inference(unit_resolution,[status(thm)],[2043, 19, 2037, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 1944, 2027, 2026])).
% 25.82/26.00 tff(2045,plain,(~ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), inference(lemma,lemma(discharge,[]))).
% 25.82/26.00 tff(2046,plain,
% 25.82/26.00 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.00 inference(rewrite,[status(thm)],[])).
% 25.82/26.00 tff(2047,plain,
% 25.82/26.00 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.01 inference(quant_inst,[status(thm)],[])).
% 25.82/26.01 tff(2048,plain,
% 25.82/26.01 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | (~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.82/26.01 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 25.82/26.01 tff(2049,plain,
% 25.82/26.01 ((~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.82/26.01 inference(unit_resolution,[status(thm)],[2048, 19, 1337, 23, 41, 77, 59, 1572, 1593, 1613])).
% 25.82/26.01 tff(2050,plain,
% 25.82/26.01 ((~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.82/26.01 inference(unit_resolution,[status(thm)],[2049, 1631])).
% 25.82/26.01 tff(2051,plain,
% 25.82/26.01 ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.82/26.01 inference(unit_resolution,[status(thm)],[2050, 1650, 1670])).
% 25.82/26.01 tff(2052,plain,
% 25.82/26.01 (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 25.82/26.01 inference(unit_resolution,[status(thm)],[2051, 1691])).
% 25.82/26.01 tff(2053,plain,
% 25.82/26.01 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 25.82/26.01 inference(bind,[status(th)],[])).
% 25.82/26.01 tff(2054,plain,
% 25.82/26.01 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/26.01 inference(quant_intro,[status(thm)],[2053])).
% 25.82/26.01 tff(2055,plain,
% 25.82/26.01 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/26.01 inference(rewrite,[status(thm)],[])).
% 25.82/26.01 tff(2056,plain,
% 25.82/26.01 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 25.82/26.01 inference(bind,[status(th)],[])).
% 25.82/26.01 tff(2057,plain,
% 25.82/26.01 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/26.01 inference(quant_intro,[status(thm)],[2056])).
% 25.82/26.01 tff(2058,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause291')).
% 25.82/26.01 tff(2059,plain,
% 25.82/26.01 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/26.01 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 25.82/26.01 tff(2060,plain,
% 25.82/26.01 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/26.01 inference(modus_ponens,[status(thm)],[2059, 2055])).
% 25.82/26.01 tff(2061,plain,(
% 25.82/26.01 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/26.01 inference(skolemize,[status(sab)],[2060])).
% 25.82/26.01 tff(2062,plain,
% 25.82/26.01 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 25.82/26.01 inference(modus_ponens,[status(thm)],[2061, 2054])).
% 25.82/26.01 tff(2063,plain,
% 25.82/26.01 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.02 inference(rewrite,[status(thm)],[])).
% 25.82/26.02 tff(2064,plain,
% 25.82/26.02 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.02 inference(rewrite,[status(thm)],[])).
% 25.82/26.02 tff(2065,plain,
% 25.82/26.02 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))))),
% 25.82/26.02 inference(monotonicity,[status(thm)],[2064])).
% 25.82/26.02 tff(2066,plain,
% 25.82/26.02 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.02 inference(transitivity,[status(thm)],[2065, 2063])).
% 25.82/26.02 tff(2067,plain,
% 25.82/26.02 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 25.82/26.02 inference(quant_inst,[status(thm)],[])).
% 25.82/26.02 tff(2068,plain,
% 25.82/26.02 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.82/26.02 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 25.82/26.02 tff(2069,plain,
% 25.82/26.02 ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.82/26.02 inference(unit_resolution,[status(thm)],[2068, 19, 2062, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 2052])).
% 25.82/26.02 tff(2070,plain,
% 25.82/26.02 ((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.82/26.02 inference(unit_resolution,[status(thm)],[2069, 1944])).
% 25.82/26.02 tff(2071,plain,
% 25.82/26.02 ((~ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 25.82/26.02 inference(unit_resolution,[status(thm)],[2070, 2045])).
% 25.82/26.02 tff(2072,plain,
% 25.82/26.02 (~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 25.82/26.02 inference(unit_resolution,[status(thm)],[2071, 1963])).
% 25.82/26.02 tff(2073,assumption,(ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.82/26.02 tff(2074,assumption,(~ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 25.82/26.02 tff(2075,plain,
% 25.82/26.02 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 25.82/26.03 inference(bind,[status(th)],[])).
% 25.82/26.03 tff(2076,plain,
% 25.82/26.03 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/26.03 inference(quant_intro,[status(thm)],[2075])).
% 25.82/26.03 tff(2077,plain,
% 25.82/26.03 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/26.03 inference(rewrite,[status(thm)],[])).
% 25.82/26.03 tff(2078,plain,
% 25.82/26.03 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 25.82/26.03 inference(bind,[status(th)],[])).
% 25.82/26.03 tff(2079,plain,
% 25.82/26.03 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/26.03 inference(quant_intro,[status(thm)],[2078])).
% 25.82/26.03 tff(2080,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause240')).
% 25.82/26.03 tff(2081,plain,
% 25.82/26.03 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/26.03 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 25.82/26.03 tff(2082,plain,
% 25.82/26.03 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/26.03 inference(modus_ponens,[status(thm)],[2081, 2077])).
% 25.82/26.03 tff(2083,plain,(
% 25.82/26.03 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/26.03 inference(skolemize,[status(sab)],[2082])).
% 25.82/26.03 tff(2084,plain,
% 25.82/26.03 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 25.82/26.03 inference(modus_ponens,[status(thm)],[2083, 2076])).
% 25.82/26.03 tff(2085,plain,
% 25.82/26.03 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.82/26.03 inference(rewrite,[status(thm)],[])).
% 25.82/26.03 tff(2086,plain,
% 25.82/26.03 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.82/26.03 inference(rewrite,[status(thm)],[])).
% 25.82/26.03 tff(2087,plain,
% 25.82/26.03 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))))),
% 25.82/26.04 inference(monotonicity,[status(thm)],[2086])).
% 25.82/26.04 tff(2088,plain,
% 25.82/26.04 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.82/26.04 inference(transitivity,[status(thm)],[2087, 2085])).
% 25.82/26.04 tff(2089,plain,
% 25.82/26.04 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.82/26.04 inference(quant_inst,[status(thm)],[])).
% 25.82/26.04 tff(2090,plain,
% 25.82/26.04 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.82/26.04 inference(modus_ponens,[status(thm)],[2089, 2088])).
% 25.82/26.04 tff(2091,plain,
% 25.82/26.04 ($false),
% 25.82/26.04 inference(unit_resolution,[status(thm)],[2090, 19, 2084, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 1944, 2074, 2073])).
% 25.82/26.04 tff(2092,plain,(ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.82/26.04 tff(2093,plain,
% 25.82/26.04 (~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.82/26.04 inference(unit_resolution,[status(thm)],[2092, 2072])).
% 25.82/26.04 tff(2094,assumption,(~ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 25.82/26.04 tff(2095,assumption,(ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.82/26.04 tff(2096,plain,
% 25.82/26.04 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 25.82/26.04 inference(bind,[status(th)],[])).
% 25.82/26.04 tff(2097,plain,
% 25.82/26.04 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.82/26.04 inference(quant_intro,[status(thm)],[2096])).
% 25.82/26.04 tff(2098,plain,
% 25.82/26.04 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.82/26.04 inference(rewrite,[status(thm)],[])).
% 25.82/26.04 tff(2099,plain,
% 25.82/26.04 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 25.82/26.04 inference(bind,[status(th)],[])).
% 25.82/26.04 tff(2100,plain,
% 25.82/26.04 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.82/26.04 inference(quant_intro,[status(thm)],[2099])).
% 25.82/26.04 tff(2101,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause198')).
% 25.82/26.04 tff(2102,plain,
% 25.82/26.04 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.82/26.04 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 25.82/26.04 tff(2103,plain,
% 25.82/26.04 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.82/26.04 inference(modus_ponens,[status(thm)],[2102, 2098])).
% 25.82/26.04 tff(2104,plain,(
% 25.82/26.04 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.82/26.04 inference(skolemize,[status(sab)],[2103])).
% 25.82/26.04 tff(2105,plain,
% 25.82/26.04 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 25.82/26.04 inference(modus_ponens,[status(thm)],[2104, 2097])).
% 25.82/26.04 tff(2106,plain,
% 25.82/26.04 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.82/26.05 inference(rewrite,[status(thm)],[])).
% 25.82/26.05 tff(2107,plain,
% 25.82/26.05 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.82/26.05 inference(rewrite,[status(thm)],[])).
% 25.82/26.05 tff(2108,plain,
% 25.82/26.05 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 25.82/26.05 inference(monotonicity,[status(thm)],[2107])).
% 25.82/26.05 tff(2109,plain,
% 25.82/26.05 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 25.82/26.05 inference(transitivity,[status(thm)],[2108, 2106])).
% 25.82/26.05 tff(2110,plain,
% 25.82/26.05 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 25.82/26.05 inference(quant_inst,[status(thm)],[])).
% 25.82/26.05 tff(2111,plain,
% 25.82/26.05 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 25.82/26.05 inference(modus_ponens,[status(thm)],[2110, 2109])).
% 25.82/26.05 tff(2112,plain,
% 25.82/26.05 ($false),
% 25.82/26.05 inference(unit_resolution,[status(thm)],[2111, 19, 2105, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 1691, 2095, 2094])).
% 25.82/26.05 tff(2113,plain,(ssPv18_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.82/26.05 tff(2114,plain,
% 25.82/26.05 (~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)),
% 25.82/26.05 inference(unit_resolution,[status(thm)],[2113, 2093])).
% 25.82/26.05 tff(2115,assumption,(ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.82/26.05 tff(2116,assumption,(~ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24)), introduced(assumption)).
% 25.82/26.05 tff(2117,plain,
% 25.82/26.05 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 25.82/26.05 inference(bind,[status(th)],[])).
% 25.82/26.05 tff(2118,plain,
% 25.82/26.05 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.82/26.05 inference(quant_intro,[status(thm)],[2117])).
% 25.82/26.05 tff(2119,plain,
% 25.82/26.05 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.82/26.05 inference(rewrite,[status(thm)],[])).
% 25.82/26.05 tff(2120,plain,
% 25.82/26.05 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 25.82/26.05 inference(bind,[status(th)],[])).
% 25.82/26.05 tff(2121,plain,
% 25.82/26.05 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.82/26.06 inference(quant_intro,[status(thm)],[2120])).
% 25.82/26.06 tff(2122,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause180')).
% 25.82/26.06 tff(2123,plain,
% 25.82/26.06 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.82/26.06 inference(modus_ponens,[status(thm)],[2122, 2121])).
% 25.82/26.06 tff(2124,plain,
% 25.82/26.06 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.82/26.06 inference(modus_ponens,[status(thm)],[2123, 2119])).
% 25.82/26.06 tff(2125,plain,(
% 25.82/26.06 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.82/26.06 inference(skolemize,[status(sab)],[2124])).
% 25.82/26.06 tff(2126,plain,
% 25.82/26.06 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 25.82/26.06 inference(modus_ponens,[status(thm)],[2125, 2118])).
% 25.82/26.06 tff(2127,plain,
% 25.82/26.06 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.82/26.06 inference(rewrite,[status(thm)],[])).
% 25.82/26.06 tff(2128,plain,
% 25.82/26.06 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.82/26.06 inference(rewrite,[status(thm)],[])).
% 25.82/26.06 tff(2129,plain,
% 25.82/26.06 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))))),
% 25.82/26.06 inference(monotonicity,[status(thm)],[2128])).
% 25.82/26.06 tff(2130,plain,
% 25.82/26.06 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.82/26.06 inference(transitivity,[status(thm)],[2129, 2127])).
% 25.82/26.06 tff(2131,plain,
% 25.82/26.06 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)))),
% 25.82/26.06 inference(quant_inst,[status(thm)],[])).
% 25.82/26.06 tff(2132,plain,
% 25.82/26.06 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)) | ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))),
% 25.82/26.06 inference(modus_ponens,[status(thm)],[2131, 2130])).
% 25.82/26.06 tff(2133,plain,
% 25.82/26.06 ($false),
% 25.82/26.06 inference(unit_resolution,[status(thm)],[2132, 19, 2126, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 1670, 2116, 2115])).
% 25.82/26.06 tff(2134,plain,(ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.82/26.06 tff(2135,plain,
% 25.82/26.06 (~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)),
% 25.82/26.06 inference(unit_resolution,[status(thm)],[2134, 2114])).
% 25.82/26.06 tff(2136,assumption,(~ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 25.82/26.06 tff(2137,assumption,(ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.82/26.06 tff(2138,plain,
% 25.82/26.06 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 25.82/26.06 inference(bind,[status(th)],[])).
% 25.82/26.06 tff(2139,plain,
% 25.82/26.06 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.82/26.06 inference(quant_intro,[status(thm)],[2138])).
% 25.82/26.06 tff(2140,plain,
% 25.82/26.06 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.82/26.06 inference(rewrite,[status(thm)],[])).
% 25.82/26.06 tff(2141,plain,
% 25.82/26.06 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 25.82/26.07 inference(bind,[status(th)],[])).
% 25.82/26.07 tff(2142,plain,
% 25.82/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.82/26.07 inference(quant_intro,[status(thm)],[2141])).
% 25.82/26.07 tff(2143,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause147')).
% 25.82/26.07 tff(2144,plain,
% 25.82/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.82/26.07 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 25.82/26.07 tff(2145,plain,
% 25.82/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.82/26.07 inference(modus_ponens,[status(thm)],[2144, 2140])).
% 25.82/26.07 tff(2146,plain,(
% 25.82/26.07 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.82/26.07 inference(skolemize,[status(sab)],[2145])).
% 25.82/26.07 tff(2147,plain,
% 25.82/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 25.82/26.07 inference(modus_ponens,[status(thm)],[2146, 2139])).
% 25.82/26.07 tff(2148,plain,
% 25.82/26.07 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.82/26.07 inference(rewrite,[status(thm)],[])).
% 25.82/26.07 tff(2149,plain,
% 25.82/26.07 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.82/26.07 inference(rewrite,[status(thm)],[])).
% 25.82/26.07 tff(2150,plain,
% 25.82/26.07 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))))),
% 25.82/26.07 inference(monotonicity,[status(thm)],[2149])).
% 25.82/26.07 tff(2151,plain,
% 25.82/26.07 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.82/26.07 inference(transitivity,[status(thm)],[2150, 2148])).
% 25.82/26.07 tff(2152,plain,
% 25.82/26.07 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.82/26.07 inference(quant_inst,[status(thm)],[])).
% 25.82/26.07 tff(2153,plain,
% 25.82/26.07 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)) | ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.82/26.07 inference(modus_ponens,[status(thm)],[2152, 2151])).
% 25.82/26.07 tff(2154,plain,
% 25.82/26.07 ($false),
% 25.82/26.07 inference(unit_resolution,[status(thm)],[2153, 19, 2147, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 1650, 2137, 2136])).
% 25.82/26.07 tff(2155,plain,(ssPv18_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24, skc24) | (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))), inference(lemma,lemma(discharge,[]))).
% 25.82/26.07 tff(2156,plain,
% 25.82/26.07 (~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)),
% 25.82/26.07 inference(unit_resolution,[status(thm)],[2155, 2135])).
% 25.82/26.07 tff(2157,assumption,(~ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 25.92/26.07 tff(2158,assumption,(ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)), introduced(assumption)).
% 25.92/26.07 tff(2159,plain,
% 25.92/26.07 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 25.92/26.07 inference(bind,[status(th)],[])).
% 25.92/26.07 tff(2160,plain,
% 25.92/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.92/26.07 inference(quant_intro,[status(thm)],[2159])).
% 25.92/26.07 tff(2161,plain,
% 25.92/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.92/26.07 inference(rewrite,[status(thm)],[])).
% 25.92/26.07 tff(2162,plain,
% 25.92/26.07 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 25.92/26.07 inference(bind,[status(th)],[])).
% 25.92/26.07 tff(2163,plain,
% 25.92/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.92/26.07 inference(quant_intro,[status(thm)],[2162])).
% 25.92/26.07 tff(2164,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause134')).
% 25.92/26.07 tff(2165,plain,
% 25.92/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.92/26.07 inference(modus_ponens,[status(thm)],[2164, 2163])).
% 25.92/26.07 tff(2166,plain,
% 25.92/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.92/26.07 inference(modus_ponens,[status(thm)],[2165, 2161])).
% 25.92/26.07 tff(2167,plain,(
% 25.92/26.07 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.92/26.07 inference(skolemize,[status(sab)],[2166])).
% 25.92/26.07 tff(2168,plain,
% 25.92/26.07 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 25.92/26.08 inference(modus_ponens,[status(thm)],[2167, 2160])).
% 25.92/26.08 tff(2169,plain,
% 25.92/26.08 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.92/26.08 inference(rewrite,[status(thm)],[])).
% 25.92/26.08 tff(2170,plain,
% 25.92/26.08 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.92/26.08 inference(rewrite,[status(thm)],[])).
% 25.92/26.08 tff(2171,plain,
% 25.92/26.08 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)))),
% 25.92/26.08 inference(monotonicity,[status(thm)],[2170])).
% 25.92/26.08 tff(2172,plain,
% 25.92/26.08 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24))),
% 25.92/26.08 inference(transitivity,[status(thm)],[2171, 2169])).
% 25.92/26.08 tff(2173,plain,
% 25.92/26.08 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.92/26.08 inference(quant_inst,[status(thm)],[])).
% 25.92/26.08 tff(2174,plain,
% 25.92/26.08 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv18_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)) | ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24)),
% 25.92/26.08 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 25.92/26.08 tff(2175,plain,
% 25.92/26.08 ($false),
% 25.92/26.08 inference(unit_resolution,[status(thm)],[2174, 19, 2168, 23, 41, 77, 59, 1572, 1593, 1613, 1631, 2158, 2157])).
% 25.92/26.08 tff(2176,plain,(ssPv18_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25, skc24) | (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))), inference(lemma,lemma(discharge,[]))).
% 25.92/26.08 tff(2177,plain,
% 25.92/26.08 (~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.92/26.08 inference(unit_resolution,[status(thm)],[2176, 2156])).
% 25.92/26.08 tff(2178,assumption,(~ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)), introduced(assumption)).
% 25.92/26.08 tff(2179,assumption,(ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)), introduced(assumption)).
% 25.92/26.08 tff(2180,plain,
% 25.92/26.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 25.92/26.08 inference(bind,[status(th)],[])).
% 25.92/26.08 tff(2181,plain,
% 25.92/26.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.92/26.08 inference(quant_intro,[status(thm)],[2180])).
% 25.92/26.08 tff(2182,plain,
% 25.92/26.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.92/26.08 inference(rewrite,[status(thm)],[])).
% 25.92/26.08 tff(2183,plain,
% 25.92/26.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 25.92/26.08 inference(bind,[status(th)],[])).
% 25.92/26.08 tff(2184,plain,
% 25.92/26.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.92/26.08 inference(quant_intro,[status(thm)],[2183])).
% 25.92/26.08 tff(2185,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause107')).
% 25.92/26.08 tff(2186,plain,
% 25.92/26.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.92/26.08 inference(modus_ponens,[status(thm)],[2185, 2184])).
% 25.92/26.08 tff(2187,plain,
% 25.92/26.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.92/26.08 inference(modus_ponens,[status(thm)],[2186, 2182])).
% 25.92/26.08 tff(2188,plain,(
% 25.92/26.08 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.92/26.08 inference(skolemize,[status(sab)],[2187])).
% 25.92/26.08 tff(2189,plain,
% 25.92/26.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.92/26.08 inference(modus_ponens,[status(thm)],[2188, 2181])).
% 25.92/26.08 tff(2190,plain,
% 25.92/26.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.92/26.08 inference(rewrite,[status(thm)],[])).
% 25.92/26.08 tff(2191,plain,
% 25.92/26.08 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.92/26.08 inference(rewrite,[status(thm)],[])).
% 25.92/26.08 tff(2192,plain,
% 25.92/26.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)))),
% 25.92/26.09 inference(monotonicity,[status(thm)],[2191])).
% 25.92/26.09 tff(2193,plain,
% 25.92/26.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25))),
% 25.92/26.09 inference(transitivity,[status(thm)],[2192, 2190])).
% 25.92/26.09 tff(2194,plain,
% 25.92/26.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)))),
% 25.92/26.09 inference(quant_inst,[status(thm)],[])).
% 25.92/26.09 tff(2195,plain,
% 25.92/26.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv18_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)) | ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25)),
% 25.92/26.09 inference(modus_ponens,[status(thm)],[2194, 2193])).
% 25.92/26.09 tff(2196,plain,
% 25.92/26.09 ($false),
% 25.92/26.09 inference(unit_resolution,[status(thm)],[2195, 19, 2189, 23, 41, 77, 59, 1572, 1593, 1613, 2179, 2178])).
% 25.92/26.09 tff(2197,plain,(ssPv18_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27, skc25) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27))), inference(lemma,lemma(discharge,[]))).
% 25.92/26.09 tff(2198,plain,
% 25.92/26.09 (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)),
% 25.92/26.09 inference(unit_resolution,[status(thm)],[2197, 2177])).
% 25.92/26.09 tff(2199,assumption,(ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), introduced(assumption)).
% 25.92/26.09 tff(2200,assumption,(~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27)), introduced(assumption)).
% 25.92/26.09 tff(2201,plain,
% 25.92/26.09 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 25.92/26.09 inference(bind,[status(th)],[])).
% 25.92/26.09 tff(2202,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.09 inference(quant_intro,[status(thm)],[2201])).
% 25.92/26.09 tff(2203,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.09 inference(rewrite,[status(thm)],[])).
% 25.92/26.09 tff(2204,plain,
% 25.92/26.09 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 25.92/26.09 inference(bind,[status(th)],[])).
% 25.92/26.09 tff(2205,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.09 inference(quant_intro,[status(thm)],[2204])).
% 25.92/26.09 tff(2206,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause84')).
% 25.92/26.09 tff(2207,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.09 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 25.92/26.09 tff(2208,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.09 inference(modus_ponens,[status(thm)],[2207, 2203])).
% 25.92/26.09 tff(2209,plain,(
% 25.92/26.09 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.09 inference(skolemize,[status(sab)],[2208])).
% 25.92/26.09 tff(2210,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.09 inference(modus_ponens,[status(thm)],[2209, 2202])).
% 25.92/26.09 tff(2211,plain,
% 25.92/26.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.92/26.09 inference(rewrite,[status(thm)],[])).
% 25.92/26.09 tff(2212,plain,
% 25.92/26.09 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.92/26.09 inference(rewrite,[status(thm)],[])).
% 25.92/26.09 tff(2213,plain,
% 25.92/26.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))))),
% 25.92/26.09 inference(monotonicity,[status(thm)],[2212])).
% 25.92/26.09 tff(2214,plain,
% 25.92/26.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.92/26.09 inference(transitivity,[status(thm)],[2213, 2211])).
% 25.92/26.09 tff(2215,plain,
% 25.92/26.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.92/26.09 inference(quant_inst,[status(thm)],[])).
% 25.92/26.09 tff(2216,plain,
% 25.92/26.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.92/26.09 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 25.92/26.09 tff(2217,plain,
% 25.92/26.09 ($false),
% 25.92/26.09 inference(unit_resolution,[status(thm)],[2216, 19, 2210, 23, 41, 77, 59, 1572, 1593, 2200, 2199])).
% 25.92/26.09 tff(2218,plain,(ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc27) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))), inference(lemma,lemma(discharge,[]))).
% 25.92/26.09 tff(2219,plain,
% 25.92/26.09 (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)),
% 25.92/26.09 inference(unit_resolution,[status(thm)],[2218, 2198])).
% 25.92/26.09 tff(2220,assumption,(~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)), introduced(assumption)).
% 25.92/26.09 tff(2221,assumption,(ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)), introduced(assumption)).
% 25.92/26.09 tff(2222,plain,
% 25.92/26.09 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))),
% 25.92/26.09 inference(bind,[status(th)],[])).
% 25.92/26.09 tff(2223,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.09 inference(quant_intro,[status(thm)],[2222])).
% 25.92/26.09 tff(2224,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.09 inference(rewrite,[status(thm)],[])).
% 25.92/26.09 tff(2225,plain,
% 25.92/26.09 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))), (((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))))),
% 25.92/26.09 inference(bind,[status(th)],[])).
% 25.92/26.09 tff(2226,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.09 inference(quant_intro,[status(thm)],[2225])).
% 25.92/26.09 tff(2227,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause62')).
% 25.92/26.09 tff(2228,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.09 inference(modus_ponens,[status(thm)],[2227, 2226])).
% 25.92/26.09 tff(2229,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.09 inference(modus_ponens,[status(thm)],[2228, 2224])).
% 25.92/26.09 tff(2230,plain,(
% 25.92/26.09 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.09 inference(skolemize,[status(sab)],[2229])).
% 25.92/26.09 tff(2231,plain,
% 25.92/26.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.09 inference(modus_ponens,[status(thm)],[2230, 2223])).
% 25.92/26.09 tff(2232,plain,
% 25.92/26.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.92/26.10 inference(rewrite,[status(thm)],[])).
% 25.92/26.10 tff(2233,plain,
% 25.92/26.10 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.92/26.10 inference(rewrite,[status(thm)],[])).
% 25.92/26.10 tff(2234,plain,
% 25.92/26.10 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 25.92/26.10 inference(monotonicity,[status(thm)],[2233])).
% 25.92/26.10 tff(2235,plain,
% 25.92/26.10 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 25.92/26.10 inference(transitivity,[status(thm)],[2234, 2232])).
% 25.92/26.10 tff(2236,plain,
% 25.92/26.10 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 25.92/26.10 inference(quant_inst,[status(thm)],[])).
% 25.92/26.10 tff(2237,plain,
% 25.92/26.10 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2236, 2235])).
% 25.92/26.10 tff(2238,plain,
% 25.92/26.10 ($false),
% 25.92/26.10 inference(unit_resolution,[status(thm)],[2237, 19, 2231, 23, 41, 77, 59, 1572, 2221, 2220])).
% 25.92/26.10 tff(2239,plain,(ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))), inference(lemma,lemma(discharge,[]))).
% 25.92/26.10 tff(2240,plain,
% 25.92/26.10 (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)),
% 25.92/26.10 inference(unit_resolution,[status(thm)],[2239, 2219])).
% 25.92/26.10 tff(2241,assumption,(ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)), introduced(assumption)).
% 25.92/26.10 tff(2242,assumption,(~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)), introduced(assumption)).
% 25.92/26.10 tff(2243,plain,
% 25.92/26.10 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X))))),
% 25.92/26.10 inference(bind,[status(th)],[])).
% 25.92/26.10 tff(2244,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))),
% 25.92/26.10 inference(quant_intro,[status(thm)],[2243])).
% 25.92/26.10 tff(2245,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))),
% 25.92/26.10 inference(rewrite,[status(thm)],[])).
% 25.92/26.10 tff(2246,plain,
% 25.92/26.10 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X)))), ((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X)))), ((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))))), (((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X)))), (((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))))), ((((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X)))), ((((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))))), (((((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X)))), (((((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))))), ((((((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_4r1r1r1r1(U, V, W, X))) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))), ((((((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))))),
% 25.92/26.10 inference(bind,[status(th)],[])).
% 25.92/26.10 tff(2247,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (((((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))),
% 25.92/26.10 inference(quant_intro,[status(thm)],[2246])).
% 25.92/26.10 tff(2248,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : (((((((~ssPv18_4r1r1r1r1(U, V, W, X)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause44')).
% 25.92/26.10 tff(2249,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2248, 2247])).
% 25.92/26.10 tff(2250,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2249, 2245])).
% 25.92/26.10 tff(2251,plain,(
% 25.92/26.10 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))),
% 25.92/26.10 inference(skolemize,[status(sab)],[2250])).
% 25.92/26.10 tff(2252,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2251, 2244])).
% 25.92/26.10 tff(2253,plain,
% 25.92/26.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 25.92/26.10 inference(rewrite,[status(thm)],[])).
% 25.92/26.10 tff(2254,plain,
% 25.92/26.10 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 25.92/26.10 inference(rewrite,[status(thm)],[])).
% 25.92/26.10 tff(2255,plain,
% 25.92/26.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 25.92/26.10 inference(monotonicity,[status(thm)],[2254])).
% 25.92/26.10 tff(2256,plain,
% 25.92/26.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 25.92/26.10 inference(transitivity,[status(thm)],[2255, 2253])).
% 25.92/26.10 tff(2257,plain,
% 25.92/26.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 25.92/26.10 inference(quant_inst,[status(thm)],[])).
% 25.92/26.10 tff(2258,plain,
% 25.92/26.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 25.92/26.10 tff(2259,plain,
% 25.92/26.10 ($false),
% 25.92/26.10 inference(unit_resolution,[status(thm)],[2258, 19, 2252, 23, 41, 77, 59, 2242, 2241])).
% 25.92/26.10 tff(2260,plain,(ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))), inference(lemma,lemma(discharge,[]))).
% 25.92/26.10 tff(2261,plain,
% 25.92/26.10 (~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)),
% 25.92/26.10 inference(unit_resolution,[status(thm)],[2260, 2240])).
% 25.92/26.10 tff(2262,assumption,(~ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)), introduced(assumption)).
% 25.92/26.10 tff(2263,assumption,(ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)), introduced(assumption)).
% 25.92/26.10 tff(2264,plain,
% 25.92/26.10 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))),
% 25.92/26.10 inference(bind,[status(th)],[])).
% 25.92/26.10 tff(2265,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.10 inference(quant_intro,[status(thm)],[2264])).
% 25.92/26.10 tff(2266,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.10 inference(rewrite,[status(thm)],[])).
% 25.92/26.10 tff(2267,plain,
% 25.92/26.10 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_4r1r1r1r1(U, V, W, X)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv18_4r1r1r1r1(U, V, W, X)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | ssPv18_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))))),
% 25.92/26.10 inference(bind,[status(th)],[])).
% 25.92/26.10 tff(2268,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_4r1r1r1r1(U, V, W, X)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.10 inference(quant_intro,[status(thm)],[2267])).
% 25.92/26.10 tff(2269,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_4r1r1r1r1(U, V, W, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause40')).
% 25.92/26.10 tff(2270,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 25.92/26.10 tff(2271,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2270, 2266])).
% 25.92/26.10 tff(2272,plain,(
% 25.92/26.10 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.10 inference(skolemize,[status(sab)],[2271])).
% 25.92/26.10 tff(2273,plain,
% 25.92/26.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2272, 2265])).
% 25.92/26.10 tff(2274,plain,
% 25.92/26.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))),
% 25.92/26.10 inference(rewrite,[status(thm)],[])).
% 25.92/26.10 tff(2275,plain,
% 25.92/26.10 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))),
% 25.92/26.10 inference(rewrite,[status(thm)],[])).
% 25.92/26.10 tff(2276,plain,
% 25.92/26.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 25.92/26.10 inference(monotonicity,[status(thm)],[2275])).
% 25.92/26.10 tff(2277,plain,
% 25.92/26.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))),
% 25.92/26.10 inference(transitivity,[status(thm)],[2276, 2274])).
% 25.92/26.10 tff(2278,plain,
% 25.92/26.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 25.92/26.10 inference(quant_inst,[status(thm)],[])).
% 25.92/26.10 tff(2279,plain,
% 25.92/26.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | ssPv18_4r1r1r1r1(U, V, W, X) | (~ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 25.92/26.10 tff(2280,plain,
% 25.92/26.10 ($false),
% 25.92/26.10 inference(unit_resolution,[status(thm)],[2279, 19, 2273, 23, 41, 77, 59, 2263, 2262])).
% 25.92/26.10 tff(2281,plain,((~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)), inference(lemma,lemma(discharge,[]))).
% 25.92/26.10 tff(2282,plain,
% 25.92/26.10 (~ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 25.92/26.10 inference(unit_resolution,[status(thm)],[2281, 2261])).
% 25.92/26.10 tff(2283,plain,
% 25.92/26.10 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 25.92/26.10 inference(bind,[status(th)],[])).
% 25.92/26.10 tff(2284,plain,
% 25.92/26.10 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.10 inference(quant_intro,[status(thm)],[2283])).
% 25.92/26.10 tff(2285,plain,
% 25.92/26.10 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.10 inference(rewrite,[status(thm)],[])).
% 25.92/26.10 tff(2286,plain,
% 25.92/26.10 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 25.92/26.10 inference(bind,[status(th)],[])).
% 25.92/26.10 tff(2287,plain,
% 25.92/26.10 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.10 inference(quant_intro,[status(thm)],[2286])).
% 25.92/26.10 tff(2288,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause57')).
% 25.92/26.10 tff(2289,plain,
% 25.92/26.10 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.10 inference(modus_ponens,[status(thm)],[2288, 2287])).
% 25.92/26.10 tff(2290,plain,
% 25.92/26.10 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.11 inference(modus_ponens,[status(thm)],[2289, 2285])).
% 25.92/26.11 tff(2291,plain,(
% 25.92/26.11 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.11 inference(skolemize,[status(sab)],[2290])).
% 25.92/26.11 tff(2292,plain,
% 25.92/26.11 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 25.92/26.11 inference(modus_ponens,[status(thm)],[2291, 2284])).
% 25.92/26.11 tff(2293,plain,
% 25.92/26.11 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 25.92/26.11 inference(rewrite,[status(thm)],[])).
% 25.92/26.11 tff(2294,plain,
% 25.92/26.11 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 25.92/26.11 inference(rewrite,[status(thm)],[])).
% 25.92/26.11 tff(2295,plain,
% 25.92/26.11 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))))),
% 25.92/26.11 inference(monotonicity,[status(thm)],[2294])).
% 25.92/26.11 tff(2296,plain,
% 25.92/26.11 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 25.92/26.11 inference(transitivity,[status(thm)],[2295, 2293])).
% 25.92/26.11 tff(2297,plain,
% 25.92/26.11 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)))),
% 25.92/26.11 inference(quant_inst,[status(thm)],[])).
% 25.92/26.11 tff(2298,plain,
% 25.92/26.11 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv18_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 25.92/26.11 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 25.92/26.11 tff(2299,plain,
% 25.92/26.11 ((~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 25.92/26.11 inference(unit_resolution,[status(thm)],[2298, 19, 2292, 23, 41, 77, 59])).
% 25.92/26.11 tff(2300,plain,
% 25.92/26.11 (ssPv18_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31))),
% 25.92/26.11 inference(unit_resolution,[status(thm)],[2299, 95])).
% 25.92/26.11 tff(2301,plain,
% 25.92/26.11 (~ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)),
% 25.92/26.11 inference(unit_resolution,[status(thm)],[2300, 2282])).
% 25.92/26.11 tff(2302,plain,
% 25.92/26.11 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 25.92/26.11 inference(bind,[status(th)],[])).
% 25.92/26.11 tff(2303,plain,
% 25.92/26.11 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.92/26.11 inference(quant_intro,[status(thm)],[2302])).
% 25.92/26.11 tff(2304,plain,
% 25.92/26.11 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.92/26.11 inference(rewrite,[status(thm)],[])).
% 25.92/26.11 tff(2305,plain,
% 25.92/26.11 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 25.96/26.11 inference(bind,[status(th)],[])).
% 25.96/26.11 tff(2306,plain,
% 25.96/26.11 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.96/26.11 inference(quant_intro,[status(thm)],[2305])).
% 25.96/26.11 tff(2307,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause78')).
% 25.96/26.11 tff(2308,plain,
% 25.96/26.11 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.96/26.11 inference(modus_ponens,[status(thm)],[2307, 2306])).
% 25.96/26.11 tff(2309,plain,
% 25.96/26.11 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.96/26.11 inference(modus_ponens,[status(thm)],[2308, 2304])).
% 25.96/26.11 tff(2310,plain,(
% 25.96/26.11 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.96/26.11 inference(skolemize,[status(sab)],[2309])).
% 25.96/26.11 tff(2311,plain,
% 25.96/26.11 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 25.96/26.11 inference(modus_ponens,[status(thm)],[2310, 2303])).
% 25.96/26.11 tff(2312,plain,
% 25.96/26.11 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))),
% 25.96/26.11 inference(rewrite,[status(thm)],[])).
% 25.96/26.11 tff(2313,plain,
% 25.96/26.11 (((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27))) <=> ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))),
% 25.96/26.11 inference(rewrite,[status(thm)],[])).
% 25.96/26.11 tff(2314,plain,
% 25.96/26.11 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27))))),
% 25.96/26.11 inference(monotonicity,[status(thm)],[2313])).
% 25.96/26.11 tff(2315,plain,
% 25.96/26.11 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))),
% 26.07/26.24 inference(transitivity,[status(thm)],[2314, 2312])).
% 26.07/26.24 tff(2316,plain,
% 26.07/26.24 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27)))),
% 26.07/26.24 inference(quant_inst,[status(thm)],[])).
% 26.07/26.24 tff(2317,plain,
% 26.07/26.24 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv18_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv18_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_0) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv18_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31)) | (~ssPv18_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc31, skc27))),
% 26.07/26.24 inference(modus_ponens,[status(thm)],[2316, 2315])).
% 26.07/26.24 tff(2318,plain,
% 26.07/26.24 ($false),
% 26.07/26.24 inference(unit_resolution,[status(thm)],[2317, 19, 2311, 23, 41, 77, 59, 95, 113, 2301, 1521])).
% 26.07/26.24 % SZS output end Proof
% 26.07/26.25 % E exiting
%------------------------------------------------------------------------------