%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PRO005+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:23:01 AM UTC 2025
% Result : Theorem 3.56s 3.71s
% Output : Proof 3.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PRO005+2 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 02:30:35 EDT 2025
% 0.11/0.33 % CPUTime :
% 3.56/3.71 % SZS status Theorem
% 3.56/3.71 % SZS output start Proof
% 3.56/3.71 tff(occurrence_of_type, type, (
% 3.56/3.71 occurrence_of: ( $i * $i ) > $o)).
% 3.56/3.71 tff(tptp3_type, type, (
% 3.56/3.71 tptp3: $i)).
% 3.56/3.71 tff(tptp_fun_X102_16_type, type, (
% 3.56/3.71 tptp_fun_X102_16: $i > $i)).
% 3.56/3.71 tff(tptp_fun_X96_15_type, type, (
% 3.56/3.71 tptp_fun_X96_15: $i > $i)).
% 3.56/3.71 tff(tptp_fun_X73_8_type, type, (
% 3.56/3.71 tptp_fun_X73_8: ( $i * $i * $i ) > $i)).
% 3.56/3.71 tff(tptp0_type, type, (
% 3.56/3.71 tptp0: $i)).
% 3.56/3.71 tff(tptp_fun_X103_17_type, type, (
% 3.56/3.71 tptp_fun_X103_17: $i)).
% 3.56/3.71 tff(tptp_fun_X97_14_type, type, (
% 3.56/3.71 tptp_fun_X97_14: $i > $i)).
% 3.56/3.71 tff(tptp_fun_X93_13_type, type, (
% 3.56/3.71 tptp_fun_X93_13: ( $i * $i ) > $i)).
% 3.56/3.71 tff(subactivity_occurrence_type, type, (
% 3.56/3.71 subactivity_occurrence: ( $i * $i ) > $o)).
% 3.56/3.71 tff(root_occ_type, type, (
% 3.56/3.71 root_occ: ( $i * $i ) > $o)).
% 3.56/3.71 tff(root_type, type, (
% 3.56/3.71 root: ( $i * $i ) > $o)).
% 3.56/3.71 tff(min_precedes_type, type, (
% 3.56/3.71 min_precedes: ( $i * $i * $i ) > $o)).
% 3.56/3.71 tff(next_subocc_type, type, (
% 3.56/3.71 next_subocc: ( $i * $i * $i ) > $o)).
% 3.56/3.71 tff(tptp_fun_X18_0_type, type, (
% 3.56/3.71 tptp_fun_X18_0: ( $i * $i * $i ) > $i)).
% 3.56/3.71 tff(tptp1_type, type, (
% 3.56/3.71 tptp1: $i)).
% 3.56/3.71 tff(leaf_occ_type, type, (
% 3.56/3.71 leaf_occ: ( $i * $i ) > $o)).
% 3.56/3.71 tff(tptp_fun_X44_3_type, type, (
% 3.56/3.71 tptp_fun_X44_3: ( $i * $i ) > $i)).
% 3.56/3.71 tff(leaf_type, type, (
% 3.56/3.71 leaf: ( $i * $i ) > $o)).
% 3.56/3.71 tff(tptp_fun_X45_4_type, type, (
% 3.56/3.71 tptp_fun_X45_4: ( $i * $i ) > $i)).
% 3.56/3.71 tff(tptp_fun_X37_2_type, type, (
% 3.56/3.71 tptp_fun_X37_2: ( $i * $i ) > $i)).
% 3.56/3.71 tff(tptp_fun_X53_6_type, type, (
% 3.56/3.71 tptp_fun_X53_6: $i > $i)).
% 3.56/3.71 tff(activity_type, type, (
% 3.56/3.71 activity: $i > $o)).
% 3.56/3.71 tff(activity_occurrence_type, type, (
% 3.56/3.71 activity_occurrence: $i > $o)).
% 3.56/3.71 tff(tptp2_type, type, (
% 3.56/3.71 tptp2: $i)).
% 3.56/3.71 tff(tptp4_type, type, (
% 3.56/3.71 tptp4: $i)).
% 3.56/3.71 tff(arboreal_type, type, (
% 3.56/3.71 arboreal: $i > $o)).
% 3.56/3.71 tff(atomic_type, type, (
% 3.56/3.71 atomic: $i > $o)).
% 3.56/3.71 tff(legal_type, type, (
% 3.56/3.71 legal: $i > $o)).
% 3.56/3.71 tff(tptp_fun_X34_1_type, type, (
% 3.56/3.71 tptp_fun_X34_1: ( $i * $i ) > $i)).
% 3.56/3.71 tff(1,assumption,(![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))), introduced(assumption)).
% 3.56/3.71 tff(2,plain,
% 3.56/3.71 (^[X15: $i, X16: $i, X17: $i] : rewrite((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))))))),
% 3.56/3.71 inference(bind,[status(th)],[])).
% 3.56/3.71 tff(3,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))),
% 3.56/3.71 inference(quant_intro,[status(thm)],[2])).
% 3.56/3.71 tff(4,plain,
% 3.56/3.71 (^[X15: $i, X16: $i, X17: $i] : refl((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))))),
% 3.56/3.71 inference(bind,[status(th)],[])).
% 3.56/3.71 tff(5,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.56/3.71 inference(quant_intro,[status(thm)],[4])).
% 3.56/3.71 tff(6,plain,
% 3.56/3.71 (^[X15: $i, X16: $i, X17: $i] : rewrite((~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))))),
% 3.56/3.71 inference(bind,[status(th)],[])).
% 3.56/3.71 tff(7,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.56/3.71 inference(quant_intro,[status(thm)],[6])).
% 3.56/3.71 tff(8,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.56/3.71 inference(transitivity,[status(thm)],[7, 5])).
% 3.56/3.71 tff(9,plain,
% 3.56/3.71 (^[X15: $i, X16: $i, X17: $i] : trans(monotonicity(rewrite(((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) <=> ((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))), trans(monotonicity(rewrite((min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)) <=> (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))), ((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))), rewrite((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))), ((next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))) <=> (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))), ((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> (((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))))), rewrite((((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))), ((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))))),
% 3.56/3.71 inference(bind,[status(th)],[])).
% 3.56/3.71 tff(10,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))) <=> ![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.56/3.71 inference(quant_intro,[status(thm)],[9])).
% 3.56/3.71 tff(11,plain,
% 3.56/3.71 (^[X15: $i, X16: $i, X17: $i] : rewrite((((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))),
% 3.56/3.71 inference(bind,[status(th)],[])).
% 3.56/3.71 tff(12,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))) <=> ![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))),
% 3.56/3.71 inference(quant_intro,[status(thm)],[11])).
% 3.56/3.71 tff(13,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) <=> ![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))),
% 3.56/3.71 inference(rewrite,[status(thm)],[])).
% 3.56/3.71 tff(14,axiom,(![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_04')).
% 3.56/3.71 tff(15,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (next_subocc(X15, X16, X17) <=> (min_precedes(X15, X16, X17) & (~?[X18: $i] : (min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17)))))),
% 3.56/3.71 inference(modus_ponens,[status(thm)],[14, 13])).
% 3.56/3.71 tff(16,plain,(
% 3.56/3.71 ![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | ((~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))),
% 3.56/3.71 inference(skolemize,[status(sab)],[15])).
% 3.56/3.71 tff(17,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (((~next_subocc(X15, X16, X17)) | (min_precedes(X15, X16, X17) & ![X18: $i] : (~(min_precedes(X15, X18, X17) & min_precedes(X18, X16, X17))))) & (next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17) & min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))),
% 3.56/3.71 inference(modus_ponens,[status(thm)],[16, 12])).
% 3.56/3.71 tff(18,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.56/3.71 inference(modus_ponens,[status(thm)],[17, 10])).
% 3.56/3.71 tff(19,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (~((~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17)))))))) | (~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17))))))))),
% 3.56/3.71 inference(modus_ponens,[status(thm)],[18, 8])).
% 3.56/3.71 tff(20,plain,
% 3.56/3.71 (![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))),
% 3.56/3.71 inference(modus_ponens,[status(thm)],[19, 3])).
% 3.56/3.71 tff(21,plain,
% 3.56/3.71 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))))))),
% 3.56/3.71 inference(rewrite,[status(thm)],[])).
% 3.56/3.71 tff(22,plain,
% 3.56/3.71 ((~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))))))),
% 3.56/3.72 inference(rewrite,[status(thm)],[])).
% 3.56/3.72 tff(23,plain,
% 3.56/3.72 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))))))),
% 3.56/3.72 inference(monotonicity,[status(thm)],[22])).
% 3.56/3.72 tff(24,plain,
% 3.56/3.72 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))))))),
% 3.56/3.72 inference(transitivity,[status(thm)],[23, 21])).
% 3.56/3.72 tff(25,plain,
% 3.56/3.72 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0))))))))))),
% 3.56/3.72 inference(quant_inst,[status(thm)],[])).
% 3.56/3.72 tff(26,plain,
% 3.56/3.72 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))))))),
% 3.56/3.72 inference(modus_ponens,[status(thm)],[25, 24])).
% 3.56/3.72 tff(27,plain,
% 3.56/3.72 (~((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))))),
% 3.56/3.72 inference(unit_resolution,[status(thm)],[26, 20])).
% 3.56/3.72 tff(28,plain,
% 3.56/3.72 (((~(next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))))) | ((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))),
% 3.56/3.72 inference(tautology,[status(thm)],[])).
% 3.56/3.72 tff(29,plain,
% 3.56/3.72 ((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))),
% 3.56/3.72 inference(unit_resolution,[status(thm)],[28, 27])).
% 3.56/3.72 tff(30,plain,
% 3.56/3.72 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))))))),
% 3.56/3.72 inference(rewrite,[status(thm)],[])).
% 3.56/3.72 tff(31,plain,
% 3.56/3.72 ((~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))))))),
% 3.56/3.72 inference(rewrite,[status(thm)],[])).
% 3.56/3.72 tff(32,plain,
% 3.56/3.72 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))))))),
% 3.56/3.72 inference(monotonicity,[status(thm)],[31])).
% 3.56/3.72 tff(33,plain,
% 3.56/3.72 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))))))),
% 3.56/3.72 inference(transitivity,[status(thm)],[32, 30])).
% 3.56/3.72 tff(34,plain,
% 3.56/3.72 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0))))))))))),
% 3.56/3.72 inference(quant_inst,[status(thm)],[])).
% 3.56/3.72 tff(35,plain,
% 3.56/3.72 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))))))),
% 3.56/3.72 inference(modus_ponens,[status(thm)],[34, 33])).
% 3.56/3.72 tff(36,plain,
% 3.56/3.72 (~((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))))),
% 3.56/3.72 inference(unit_resolution,[status(thm)],[35, 20])).
% 3.56/3.72 tff(37,plain,
% 3.56/3.72 (((~(next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17)), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))))) | ((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))),
% 3.56/3.72 inference(tautology,[status(thm)],[])).
% 3.56/3.72 tff(38,plain,
% 3.56/3.72 ((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))),
% 3.56/3.72 inference(unit_resolution,[status(thm)],[37, 36])).
% 3.56/3.72 tff(39,assumption,(min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)), introduced(assumption)).
% 3.56/3.72 tff(40,plain,
% 3.56/3.72 (^[X42: $i, X43: $i] : refl((~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))))),
% 3.56/3.72 inference(bind,[status(th)],[])).
% 3.56/3.72 tff(41,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.56/3.72 inference(quant_intro,[status(thm)],[40])).
% 3.56/3.72 tff(42,plain,
% 3.56/3.72 (^[X42: $i, X43: $i] : rewrite((~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))))),
% 3.56/3.72 inference(bind,[status(th)],[])).
% 3.56/3.72 tff(43,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.56/3.72 inference(quant_intro,[status(thm)],[42])).
% 3.56/3.72 tff(44,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.56/3.72 inference(transitivity,[status(thm)],[43, 41])).
% 3.56/3.72 tff(45,plain,
% 3.56/3.72 (^[X42: $i, X43: $i] : trans(monotonicity(rewrite(((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) <=> ((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))), trans(monotonicity(rewrite(((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) <=> (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))), ((leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)) <=> (leaf(X42, X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))), rewrite((leaf(X42, X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)) <=> (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))), ((leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)) <=> (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))), ((((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))) <=> (((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43)))))) & (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))))), rewrite((((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43)))))) & (leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43))))))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))), ((((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))) <=> (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))))),
% 3.56/3.72 inference(bind,[status(th)],[])).
% 3.56/3.72 tff(46,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))) <=> ![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.56/3.72 inference(quant_intro,[status(thm)],[45])).
% 3.56/3.72 tff(47,plain,
% 3.56/3.72 (^[X42: $i, X43: $i] : rewrite((((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | (((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))) <=> (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))))),
% 3.56/3.72 inference(bind,[status(th)],[])).
% 3.56/3.72 tff(48,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | (((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))) <=> ![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))),
% 3.56/3.72 inference(quant_intro,[status(thm)],[47])).
% 3.56/3.72 tff(49,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43)))) <=> ![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 3.56/3.72 inference(rewrite,[status(thm)],[])).
% 3.56/3.72 tff(50,axiom,(![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_14')).
% 3.56/3.72 tff(51,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (leaf(X42, X43) <=> ((root(X42, X43) | ?[X44: $i] : min_precedes(X44, X42, X43)) & (~?[X45: $i] : min_precedes(X42, X45, X43))))),
% 3.56/3.72 inference(modus_ponens,[status(thm)],[50, 49])).
% 3.56/3.72 tff(52,plain,(
% 3.56/3.72 ![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | (((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43))))),
% 3.56/3.72 inference(skolemize,[status(sab)],[51])).
% 3.56/3.72 tff(53,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (((~leaf(X42, X43)) | ((root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43)) & ![X45: $i] : (~min_precedes(X42, X45, X43)))) & (leaf(X42, X43) | ((~root(X42, X43)) & ![X44: $i] : (~min_precedes(X44, X42, X43))) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43)))),
% 3.56/3.72 inference(modus_ponens,[status(thm)],[52, 48])).
% 3.56/3.72 tff(54,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.56/3.72 inference(modus_ponens,[status(thm)],[53, 46])).
% 3.56/3.72 tff(55,plain,
% 3.56/3.72 (![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))),
% 3.56/3.72 inference(modus_ponens,[status(thm)],[54, 44])).
% 3.56/3.72 tff(56,plain,
% 3.56/3.72 (((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | leaf(tptp_fun_X97_14(X103!17), tptp0)))))) <=> ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | leaf(tptp_fun_X97_14(X103!17), tptp0))))))),
% 3.56/3.72 inference(rewrite,[status(thm)],[])).
% 3.56/3.72 tff(57,plain,
% 3.56/3.72 ((~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | (~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))))))) <=> (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | leaf(tptp_fun_X97_14(X103!17), tptp0)))))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(58,plain,
% 3.56/3.73 (((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | (~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0)))))))))) <=> ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | leaf(tptp_fun_X97_14(X103!17), tptp0))))))),
% 3.56/3.73 inference(monotonicity,[status(thm)],[57])).
% 3.56/3.73 tff(59,plain,
% 3.56/3.73 (((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | (~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0)))))))))) <=> ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | leaf(tptp_fun_X97_14(X103!17), tptp0))))))),
% 3.56/3.73 inference(transitivity,[status(thm)],[58, 56])).
% 3.56/3.73 tff(60,plain,
% 3.56/3.73 ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~(leaf(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | (~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0)))))))))),
% 3.56/3.73 inference(quant_inst,[status(thm)],[])).
% 3.56/3.73 tff(61,plain,
% 3.56/3.73 ((~![X42: $i, X43: $i] : (~((~((~leaf(X42, X43)) | (~((~(root(X42, X43) | min_precedes(tptp_fun_X44_3(X43, X42), X42, X43))) | (~![X45: $i] : (~min_precedes(X42, X45, X43))))))) | (~(leaf(X42, X43) | min_precedes(X42, tptp_fun_X45_4(X43, X42), X43) | (~(root(X42, X43) | (~![X44: $i] : (~min_precedes(X44, X42, X43)))))))))) | (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | leaf(tptp_fun_X97_14(X103!17), tptp0)))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[60, 59])).
% 3.56/3.73 tff(62,plain,
% 3.56/3.73 (~((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | leaf(tptp_fun_X97_14(X103!17), tptp0))))),
% 3.56/3.73 inference(unit_resolution,[status(thm)],[61, 55])).
% 3.56/3.73 tff(63,plain,
% 3.56/3.73 (((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | (~![X44: $i] : (~min_precedes(X44, tptp_fun_X97_14(X103!17), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X45_4(tptp0, tptp_fun_X97_14(X103!17)), tptp0) | leaf(tptp_fun_X97_14(X103!17), tptp0)))) | ((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))),
% 3.56/3.73 inference(tautology,[status(thm)],[])).
% 3.56/3.73 tff(64,plain,
% 3.56/3.73 ((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0)))))),
% 3.56/3.73 inference(unit_resolution,[status(thm)],[63, 62])).
% 3.56/3.73 tff(65,plain,
% 3.56/3.73 (?[X103: $i] : occurrence_of(X103, tptp0) <=> ?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(66,plain,
% 3.56/3.73 ((~(~?[X103: $i] : occurrence_of(X103, tptp0))) <=> ?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(67,plain,
% 3.56/3.73 ((~?[X103: $i] : occurrence_of(X103, tptp0)) <=> (~?[X103: $i] : occurrence_of(X103, tptp0))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(68,plain,
% 3.56/3.73 ((~(~?[X103: $i] : occurrence_of(X103, tptp0))) <=> (~(~?[X103: $i] : occurrence_of(X103, tptp0)))),
% 3.56/3.73 inference(monotonicity,[status(thm)],[67])).
% 3.56/3.73 tff(69,plain,
% 3.56/3.73 ((~(~?[X103: $i] : occurrence_of(X103, tptp0))) <=> ?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.56/3.73 inference(transitivity,[status(thm)],[68, 66])).
% 3.56/3.73 tff(70,axiom,(~(~?[X103: $i] : occurrence_of(X103, tptp0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals')).
% 3.56/3.73 tff(71,plain,
% 3.56/3.73 (?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[70, 69])).
% 3.56/3.73 tff(72,plain,
% 3.56/3.73 (?[X103: $i] : occurrence_of(X103, tptp0)),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[71, 65])).
% 3.56/3.73 tff(73,plain,(
% 3.56/3.73 occurrence_of(X103!17, tptp0)),
% 3.56/3.73 inference(skolemize,[status(sab)],[72])).
% 3.56/3.73 tff(74,plain,
% 3.56/3.73 (^[X89: $i, X90: $i] : refl(((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(75,plain,
% 3.56/3.73 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[74])).
% 3.56/3.73 tff(76,plain,
% 3.56/3.73 (^[X89: $i, X90: $i] : rewrite(((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90))))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(77,plain,
% 3.56/3.73 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[76])).
% 3.56/3.73 tff(78,plain,
% 3.56/3.73 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(79,plain,
% 3.56/3.73 (^[X89: $i, X90: $i] : rewrite((occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(80,plain,
% 3.56/3.73 (![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90))) <=> ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[79])).
% 3.56/3.73 tff(81,axiom,(![X89: $i, X90: $i] : (occurrence_of(X90, X89) => (activity(X89) & activity_occurrence(X90)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_29')).
% 3.56/3.73 tff(82,plain,
% 3.56/3.73 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[81, 80])).
% 3.56/3.73 tff(83,plain,
% 3.56/3.73 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[82, 78])).
% 3.56/3.73 tff(84,plain,(
% 3.56/3.73 ![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (activity(X89) & activity_occurrence(X90)))),
% 3.56/3.73 inference(skolemize,[status(sab)],[83])).
% 3.56/3.73 tff(85,plain,
% 3.56/3.73 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[84, 77])).
% 3.56/3.73 tff(86,plain,
% 3.56/3.73 (![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[85, 75])).
% 3.56/3.73 tff(87,plain,
% 3.56/3.73 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X103!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X103!17)))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X103!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X103!17)))))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(88,plain,
% 3.56/3.73 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(X103!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X103!17)))))),
% 3.56/3.73 inference(quant_inst,[status(thm)],[])).
% 3.56/3.73 tff(89,plain,
% 3.56/3.73 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(X103!17, tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(X103!17))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[88, 87])).
% 3.56/3.73 tff(90,plain,
% 3.56/3.73 (~((~activity(tptp0)) | (~activity_occurrence(X103!17)))),
% 3.56/3.73 inference(unit_resolution,[status(thm)],[89, 86, 73])).
% 3.56/3.73 tff(91,plain,
% 3.56/3.73 (((~activity(tptp0)) | (~activity_occurrence(X103!17))) | activity_occurrence(X103!17)),
% 3.56/3.73 inference(tautology,[status(thm)],[])).
% 3.56/3.73 tff(92,plain,
% 3.56/3.73 (activity_occurrence(X103!17)),
% 3.56/3.73 inference(unit_resolution,[status(thm)],[91, 90])).
% 3.56/3.73 tff(93,plain,
% 3.56/3.73 (^[X52: $i] : refl(((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))) <=> ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(94,plain,
% 3.56/3.73 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[93])).
% 3.56/3.73 tff(95,plain,
% 3.56/3.73 (^[X52: $i] : rewrite(((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52)))) <=> ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52)))))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(96,plain,
% 3.56/3.73 (![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52)))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[95])).
% 3.56/3.73 tff(97,plain,
% 3.56/3.73 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(98,plain,
% 3.56/3.73 (^[X52: $i] : rewrite((activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))) <=> ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(99,plain,
% 3.56/3.73 (![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53))) <=> ![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[98])).
% 3.56/3.73 tff(100,axiom,(![X52: $i] : (activity_occurrence(X52) => ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_18')).
% 3.56/3.73 tff(101,plain,
% 3.56/3.73 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[100, 99])).
% 3.56/3.73 tff(102,plain,
% 3.56/3.73 (![X52: $i] : ((~activity_occurrence(X52)) | ?[X53: $i] : (activity(X53) & occurrence_of(X52, X53)))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[101, 97])).
% 3.56/3.73 tff(103,plain,(
% 3.56/3.73 ![X52: $i] : ((~activity_occurrence(X52)) | (activity(tptp_fun_X53_6(X52)) & occurrence_of(X52, tptp_fun_X53_6(X52))))),
% 3.56/3.73 inference(skolemize,[status(sab)],[102])).
% 3.56/3.73 tff(104,plain,
% 3.56/3.73 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[103, 96])).
% 3.56/3.73 tff(105,plain,
% 3.56/3.73 (![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[104, 94])).
% 3.56/3.73 tff(106,plain,
% 3.56/3.73 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X103!17)) | (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X103!17)) | (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(107,plain,
% 3.56/3.73 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(X103!17)) | (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))))),
% 3.56/3.73 inference(quant_inst,[status(thm)],[])).
% 3.56/3.73 tff(108,plain,
% 3.56/3.73 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(X103!17)) | (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17)))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[107, 106])).
% 3.56/3.73 tff(109,plain,
% 3.56/3.73 (~((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))),
% 3.56/3.73 inference(unit_resolution,[status(thm)],[108, 105, 92])).
% 3.56/3.73 tff(110,plain,
% 3.56/3.73 (((~activity(tptp_fun_X53_6(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17)))) | occurrence_of(X103!17, tptp_fun_X53_6(X103!17))),
% 3.56/3.73 inference(tautology,[status(thm)],[])).
% 3.56/3.73 tff(111,plain,
% 3.56/3.73 (occurrence_of(X103!17, tptp_fun_X53_6(X103!17))),
% 3.56/3.73 inference(unit_resolution,[status(thm)],[110, 109])).
% 3.56/3.73 tff(112,plain,
% 3.56/3.73 (^[X35: $i, X36: $i] : refl((~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(113,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[112])).
% 3.56/3.73 tff(114,plain,
% 3.56/3.73 (^[X35: $i, X36: $i] : rewrite((~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(115,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[114])).
% 3.56/3.73 tff(116,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.56/3.73 inference(transitivity,[status(thm)],[115, 113])).
% 3.56/3.73 tff(117,plain,
% 3.56/3.73 (^[X35: $i, X36: $i] : trans(monotonicity(rewrite(((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) <=> ((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))), rewrite((leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))) <=> (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))), ((((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> (((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35)))))) & (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))))), rewrite((((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35)))))) & (leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))), ((((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(118,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))) <=> ![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[117])).
% 3.56/3.73 tff(119,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))) <=> ![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(120,plain,
% 3.56/3.73 (^[X35: $i, X36: $i] : rewrite((leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37))) <=> (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(121,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37))) <=> ![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[120])).
% 3.56/3.73 tff(122,axiom,(![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : ((occurrence_of(X36, X37) & subactivity_occurrence(X35, X36)) & leaf(X35, X37)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_11')).
% 3.56/3.73 tff(123,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[122, 121])).
% 3.56/3.73 tff(124,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (leaf_occ(X35, X36) <=> ?[X37: $i] : (occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[123, 119])).
% 3.56/3.73 tff(125,plain,(
% 3.56/3.73 ![X35: $i, X36: $i] : (((~leaf_occ(X35, X36)) | (occurrence_of(X36, tptp_fun_X37_2(X36, X35)) & subactivity_occurrence(X35, X36) & leaf(X35, tptp_fun_X37_2(X36, X35)))) & (leaf_occ(X35, X36) | ![X37: $i] : (~(occurrence_of(X36, X37) & subactivity_occurrence(X35, X36) & leaf(X35, X37)))))),
% 3.56/3.73 inference(skolemize,[status(sab)],[124])).
% 3.56/3.73 tff(126,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[125, 118])).
% 3.56/3.73 tff(127,plain,
% 3.56/3.73 (![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[126, 116])).
% 3.56/3.73 tff(128,plain,
% 3.56/3.73 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))))))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(129,plain,
% 3.56/3.73 ((~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))))) <=> (~((~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))))))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(130,plain,
% 3.56/3.73 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))))))),
% 3.56/3.73 inference(monotonicity,[status(thm)],[129])).
% 3.56/3.73 tff(131,plain,
% 3.56/3.73 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))))))),
% 3.56/3.73 inference(transitivity,[status(thm)],[130, 128])).
% 3.56/3.73 tff(132,plain,
% 3.56/3.73 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37)))))))),
% 3.56/3.73 inference(quant_inst,[status(thm)],[])).
% 3.56/3.73 tff(133,plain,
% 3.56/3.73 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))))))),
% 3.56/3.73 inference(modus_ponens,[status(thm)],[132, 131])).
% 3.56/3.73 tff(134,plain,
% 3.56/3.73 (~((~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))))),
% 3.56/3.73 inference(unit_resolution,[status(thm)],[133, 127])).
% 3.56/3.73 tff(135,plain,
% 3.56/3.73 (((~(leaf_occ(tptp_fun_X97_14(X103!17), X103!17) | ![X37: $i] : ((~occurrence_of(X103!17, X37)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), X37))))) | (~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))))) | ((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))),
% 3.56/3.73 inference(tautology,[status(thm)],[])).
% 3.56/3.73 tff(136,plain,
% 3.56/3.73 ((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))),
% 3.56/3.73 inference(unit_resolution,[status(thm)],[135, 134])).
% 3.56/3.73 tff(137,plain,
% 3.56/3.73 (^[X95: $i] : refl(((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))) <=> ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(138,plain,
% 3.56/3.73 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[137])).
% 3.56/3.73 tff(139,plain,
% 3.56/3.73 (^[X95: $i] : rewrite(((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & (occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3)) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))) <=> ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))))))),
% 3.56/3.73 inference(bind,[status(th)],[])).
% 3.56/3.73 tff(140,plain,
% 3.56/3.73 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & (occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3)) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.56/3.73 inference(quant_intro,[status(thm)],[139])).
% 3.56/3.73 tff(141,plain,
% 3.56/3.73 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.56/3.73 inference(rewrite,[status(thm)],[])).
% 3.56/3.73 tff(142,plain,
% 3.56/3.73 (^[X95: $i] : trans(monotonicity(quant_intro(proof_bind(^[X96: $i, X97: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2)) <=> (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))), (((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)))), (((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))) & leaf_occ(X97, X95)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3))) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95))), ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> ((occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), rewrite(((occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))), (((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))))), (?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)) <=> ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))), ((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))))), rewrite((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0))) <=> ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))), ((occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(143,plain,
% 3.56/3.74 (![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0))) <=> ![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[142])).
% 3.56/3.74 tff(144,axiom,(![X95: $i] : (occurrence_of(X95, tptp0) => ?[X96: $i, X97: $i] : ((((occurrence_of(X96, tptp4) & root_occ(X96, X95)) & (occurrence_of(X97, tptp3) | occurrence_of(X97, tptp2))) & leaf_occ(X97, X95)) & next_subocc(X96, X97, tptp0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_32')).
% 3.56/3.74 tff(145,plain,
% 3.56/3.74 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[144, 143])).
% 3.56/3.74 tff(146,plain,
% 3.56/3.74 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | ?[X96: $i, X97: $i] : (occurrence_of(X96, tptp4) & root_occ(X96, X95) & (occurrence_of(X97, tptp2) | occurrence_of(X97, tptp3)) & leaf_occ(X97, X95) & next_subocc(X96, X97, tptp0)))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[145, 141])).
% 3.56/3.74 tff(147,plain,(
% 3.56/3.74 ![X95: $i] : ((~occurrence_of(X95, tptp0)) | (occurrence_of(tptp_fun_X96_15(X95), tptp4) & root_occ(tptp_fun_X96_15(X95), X95) & (occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3)) & leaf_occ(tptp_fun_X97_14(X95), X95) & next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))),
% 3.56/3.74 inference(skolemize,[status(sab)],[146])).
% 3.56/3.74 tff(148,plain,
% 3.56/3.74 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[147, 140])).
% 3.56/3.74 tff(149,plain,
% 3.56/3.74 (![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[148, 138])).
% 3.56/3.74 tff(150,plain,
% 3.56/3.74 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X103!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)))))),
% 3.56/3.74 inference(rewrite,[status(thm)],[])).
% 3.56/3.74 tff(151,plain,
% 3.56/3.74 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(X103!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)))))),
% 3.56/3.74 inference(quant_inst,[status(thm)],[])).
% 3.56/3.74 tff(152,plain,
% 3.56/3.74 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0))))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[151, 150])).
% 3.56/3.74 tff(153,plain,
% 3.56/3.74 (~((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[152, 149, 73])).
% 3.56/3.74 tff(154,plain,
% 3.56/3.74 (((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), X103!17)),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(155,plain,
% 3.56/3.74 (leaf_occ(tptp_fun_X97_14(X103!17), X103!17)),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[154, 153])).
% 3.56/3.74 tff(156,plain,
% 3.56/3.74 ((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(157,plain,
% 3.56/3.74 ((~((~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))))) | (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[156, 155])).
% 3.56/3.74 tff(158,plain,
% 3.56/3.74 (~((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[157, 136])).
% 3.56/3.74 tff(159,plain,
% 3.56/3.74 (((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))) | occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(160,plain,
% 3.56/3.74 (occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[159, 158])).
% 3.56/3.74 tff(161,plain,
% 3.56/3.74 (^[X64: $i, X65: $i, X66: $i] : refl(((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(162,plain,
% 3.56/3.74 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) <=> ![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[161])).
% 3.56/3.74 tff(163,plain,
% 3.56/3.74 (^[X64: $i, X65: $i, X66: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X64, X65) & occurrence_of(X64, X66)) <=> (~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))), ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) <=> (~(~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))))), rewrite((~(~((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))) <=> ((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))), ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) <=> ((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))))), (((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> (((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) | (X65 = X66)))), rewrite((((~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65))) | (X65 = X66)) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))), (((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(164,plain,
% 3.56/3.74 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[163])).
% 3.56/3.74 tff(165,plain,
% 3.56/3.74 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.56/3.74 inference(rewrite,[status(thm)],[])).
% 3.56/3.74 tff(166,plain,
% 3.56/3.74 (^[X64: $i, X65: $i, X66: $i] : rewrite(((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66)) <=> ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66)))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(167,plain,
% 3.56/3.74 (![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66)) <=> ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[166])).
% 3.56/3.74 tff(168,axiom,(![X64: $i, X65: $i, X66: $i] : ((occurrence_of(X64, X65) & occurrence_of(X64, X66)) => (X65 = X66))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_22')).
% 3.56/3.74 tff(169,plain,
% 3.56/3.74 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[168, 167])).
% 3.56/3.74 tff(170,plain,
% 3.56/3.74 (![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[169, 165])).
% 3.56/3.74 tff(171,plain,(
% 3.56/3.74 ![X64: $i, X65: $i, X66: $i] : ((~(occurrence_of(X64, X65) & occurrence_of(X64, X66))) | (X65 = X66))),
% 3.56/3.74 inference(skolemize,[status(sab)],[170])).
% 3.56/3.74 tff(172,plain,
% 3.56/3.74 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[171, 164])).
% 3.56/3.74 tff(173,plain,
% 3.56/3.74 (![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[172, 162])).
% 3.56/3.74 tff(174,plain,
% 3.56/3.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))),
% 3.56/3.74 inference(rewrite,[status(thm)],[])).
% 3.56/3.74 tff(175,plain,
% 3.56/3.74 (((tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17)))) <=> ((~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))),
% 3.56/3.74 inference(rewrite,[status(thm)],[])).
% 3.56/3.74 tff(176,plain,
% 3.56/3.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))))),
% 3.56/3.74 inference(monotonicity,[status(thm)],[175])).
% 3.56/3.74 tff(177,plain,
% 3.56/3.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))),
% 3.56/3.74 inference(transitivity,[status(thm)],[176, 174])).
% 3.56/3.74 tff(178,plain,
% 3.56/3.74 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))),
% 3.56/3.74 inference(quant_inst,[status(thm)],[])).
% 3.56/3.74 tff(179,plain,
% 3.56/3.74 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[178, 177])).
% 3.56/3.74 tff(180,plain,
% 3.56/3.74 (tptp_fun_X53_6(X103!17) = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[179, 173, 160, 111])).
% 3.56/3.74 tff(181,plain,
% 3.56/3.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0))),
% 3.56/3.74 inference(rewrite,[status(thm)],[])).
% 3.56/3.74 tff(182,plain,
% 3.56/3.74 (((tptp_fun_X53_6(X103!17) = tptp0) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17)))) <=> ((~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0))),
% 3.56/3.74 inference(rewrite,[status(thm)],[])).
% 3.56/3.74 tff(183,plain,
% 3.56/3.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp0) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0)))),
% 3.56/3.74 inference(monotonicity,[status(thm)],[182])).
% 3.56/3.74 tff(184,plain,
% 3.56/3.74 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp0) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0))),
% 3.56/3.74 inference(transitivity,[status(thm)],[183, 181])).
% 3.56/3.74 tff(185,plain,
% 3.56/3.74 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(X103!17) = tptp0) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))))),
% 3.56/3.74 inference(quant_inst,[status(thm)],[])).
% 3.56/3.74 tff(186,plain,
% 3.56/3.74 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(X103!17, tptp0)) | (~occurrence_of(X103!17, tptp_fun_X53_6(X103!17))) | (tptp_fun_X53_6(X103!17) = tptp0)),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[185, 184])).
% 3.56/3.74 tff(187,plain,
% 3.56/3.74 (tptp_fun_X53_6(X103!17) = tptp0),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[186, 173, 73, 111])).
% 3.56/3.74 tff(188,plain,
% 3.56/3.74 (tptp0 = tptp_fun_X53_6(X103!17)),
% 3.56/3.74 inference(symmetry,[status(thm)],[187])).
% 3.56/3.74 tff(189,plain,
% 3.56/3.74 (tptp0 = tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))),
% 3.56/3.74 inference(transitivity,[status(thm)],[188, 180])).
% 3.56/3.74 tff(190,plain,
% 3.56/3.74 (leaf(tptp_fun_X97_14(X103!17), tptp0) <=> leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.56/3.74 inference(monotonicity,[status(thm)],[189])).
% 3.56/3.74 tff(191,plain,
% 3.56/3.74 (leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))) <=> leaf(tptp_fun_X97_14(X103!17), tptp0)),
% 3.56/3.74 inference(symmetry,[status(thm)],[190])).
% 3.56/3.74 tff(192,plain,
% 3.56/3.74 (((~subactivity_occurrence(tptp_fun_X97_14(X103!17), X103!17)) | (~leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))) | (~occurrence_of(X103!17, tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17))))) | leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(193,plain,
% 3.56/3.74 (leaf(tptp_fun_X97_14(X103!17), tptp_fun_X37_2(X103!17, tptp_fun_X97_14(X103!17)))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[192, 158])).
% 3.56/3.74 tff(194,plain,
% 3.56/3.74 (leaf(tptp_fun_X97_14(X103!17), tptp0)),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[193, 191])).
% 3.56/3.74 tff(195,plain,
% 3.56/3.74 ((~((~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))))) | (~leaf(tptp_fun_X97_14(X103!17), tptp0)) | (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0)))))),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(196,plain,
% 3.56/3.74 (~((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[195, 194, 64])).
% 3.56/3.74 tff(197,plain,
% 3.56/3.74 (((~(root(tptp_fun_X97_14(X103!17), tptp0) | min_precedes(tptp_fun_X44_3(tptp0, tptp_fun_X97_14(X103!17)), tptp_fun_X97_14(X103!17), tptp0))) | (~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0)))) | ![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(198,plain,
% 3.56/3.74 (![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[197, 196])).
% 3.56/3.74 tff(199,plain,
% 3.56/3.74 ((~![X45: $i] : (~min_precedes(tptp_fun_X97_14(X103!17), X45, tptp0))) | (~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))),
% 3.56/3.74 inference(quant_inst,[status(thm)],[])).
% 3.56/3.74 tff(200,plain,
% 3.56/3.74 ($false),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[199, 198, 39])).
% 3.56/3.74 tff(201,plain,(~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)), inference(lemma,lemma(discharge,[]))).
% 3.56/3.74 tff(202,plain,
% 3.56/3.74 (((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))) | min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(203,plain,
% 3.56/3.74 ((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[202, 201])).
% 3.56/3.74 tff(204,plain,
% 3.56/3.74 ((~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(205,plain,
% 3.56/3.74 ((~((~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X97_14(X103!17), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))))) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[204, 203])).
% 3.56/3.74 tff(206,plain,
% 3.56/3.74 (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[205, 38])).
% 3.56/3.74 tff(207,plain,
% 3.56/3.74 (((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))) | next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(208,plain,
% 3.56/3.74 ((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[207, 206])).
% 3.56/3.74 tff(209,plain,
% 3.56/3.74 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp_fun_X97_14(X103!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))))))),
% 3.56/3.74 inference(quant_inst,[status(thm)],[])).
% 3.56/3.74 tff(210,plain,
% 3.56/3.74 (~((~(next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp_fun_X97_14(X103!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))))))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[209, 20])).
% 3.56/3.74 tff(211,plain,
% 3.56/3.74 (((~(next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17)), tptp_fun_X97_14(X103!17), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))))),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(212,plain,
% 3.56/3.74 ((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[211, 210])).
% 3.56/3.74 tff(213,plain,
% 3.56/3.74 (((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0))) | next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(214,plain,
% 3.56/3.74 (next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[213, 153])).
% 3.56/3.74 tff(215,plain,
% 3.56/3.74 ((~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(216,plain,
% 3.56/3.74 ((~((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[215, 214])).
% 3.56/3.74 tff(217,plain,
% 3.56/3.74 (~((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[216, 212])).
% 3.56/3.74 tff(218,plain,
% 3.56/3.74 (((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(219,plain,
% 3.56/3.74 (min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[218, 217])).
% 3.56/3.74 tff(220,plain,
% 3.56/3.74 (^[X70: $i, X71: $i, X72: $i] : refl(((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))) <=> ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(221,plain,
% 3.56/3.74 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[220])).
% 3.56/3.74 tff(222,plain,
% 3.56/3.74 (^[X70: $i, X71: $i, X72: $i] : rewrite(((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))) <=> ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))))))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(223,plain,
% 3.56/3.74 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70)))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[222])).
% 3.56/3.74 tff(224,plain,
% 3.56/3.74 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.56/3.74 inference(rewrite,[status(thm)],[])).
% 3.56/3.74 tff(225,plain,
% 3.56/3.74 (^[X70: $i, X71: $i, X72: $i] : trans(monotonicity(quant_intro(proof_bind(^[X73: $i] : rewrite(((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)) <=> (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), (?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)) <=> ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), ((min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> (min_precedes(X71, X72, X70) => ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))))), rewrite((min_precedes(X71, X72, X70) => ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73))) <=> ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))), ((min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(226,plain,
% 3.56/3.74 (![X70: $i, X71: $i, X72: $i] : (min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73))) <=> ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[225])).
% 3.56/3.74 tff(227,axiom,(![X70: $i, X71: $i, X72: $i] : (min_precedes(X71, X72, X70) => ?[X73: $i] : ((occurrence_of(X73, X70) & subactivity_occurrence(X71, X73)) & subactivity_occurrence(X72, X73)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_24')).
% 3.56/3.74 tff(228,plain,
% 3.56/3.74 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[227, 226])).
% 3.56/3.74 tff(229,plain,
% 3.56/3.74 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | ?[X73: $i] : (occurrence_of(X73, X70) & subactivity_occurrence(X71, X73) & subactivity_occurrence(X72, X73)))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[228, 224])).
% 3.56/3.74 tff(230,plain,(
% 3.56/3.74 ![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70) & subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70)) & subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))),
% 3.56/3.74 inference(skolemize,[status(sab)],[229])).
% 3.56/3.74 tff(231,plain,
% 3.56/3.74 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[230, 223])).
% 3.56/3.74 tff(232,plain,
% 3.56/3.74 (![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[231, 221])).
% 3.56/3.74 tff(233,plain,
% 3.56/3.74 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.56/3.74 inference(rewrite,[status(thm)],[])).
% 3.56/3.74 tff(234,plain,
% 3.56/3.74 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.56/3.74 inference(quant_inst,[status(thm)],[])).
% 3.56/3.74 tff(235,plain,
% 3.56/3.74 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[234, 233])).
% 3.56/3.74 tff(236,plain,
% 3.56/3.74 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[235, 232, 219])).
% 3.56/3.74 tff(237,plain,
% 3.56/3.74 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(238,plain,
% 3.56/3.74 (subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[237, 236])).
% 3.56/3.74 tff(239,plain,
% 3.56/3.74 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)),
% 3.56/3.74 inference(tautology,[status(thm)],[])).
% 3.56/3.74 tff(240,plain,
% 3.56/3.74 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)),
% 3.56/3.74 inference(unit_resolution,[status(thm)],[239, 236])).
% 3.56/3.74 tff(241,plain,
% 3.56/3.74 (^[X19: $i, X20: $i, X21: $i] : refl(((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))) <=> ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(242,plain,
% 3.56/3.74 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[241])).
% 3.56/3.74 tff(243,plain,
% 3.56/3.74 (^[X19: $i, X20: $i, X21: $i] : rewrite(((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20))))))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(244,plain,
% 3.56/3.74 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[243])).
% 3.56/3.74 tff(245,plain,
% 3.56/3.74 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.56/3.74 inference(rewrite,[status(thm)],[])).
% 3.56/3.74 tff(246,plain,
% 3.56/3.74 (^[X19: $i, X20: $i, X21: $i] : rewrite((next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20))) <=> ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20))))),
% 3.56/3.74 inference(bind,[status(th)],[])).
% 3.56/3.74 tff(247,plain,
% 3.56/3.74 (![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20))) <=> ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.56/3.74 inference(quant_intro,[status(thm)],[246])).
% 3.56/3.74 tff(248,axiom,(![X19: $i, X20: $i, X21: $i] : (next_subocc(X19, X20, X21) => (arboreal(X19) & arboreal(X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_05')).
% 3.56/3.74 tff(249,plain,
% 3.56/3.74 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[248, 247])).
% 3.56/3.74 tff(250,plain,
% 3.56/3.74 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.56/3.74 inference(modus_ponens,[status(thm)],[249, 245])).
% 3.56/3.75 tff(251,plain,(
% 3.56/3.75 ![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (arboreal(X19) & arboreal(X20)))),
% 3.56/3.75 inference(skolemize,[status(sab)],[250])).
% 3.56/3.75 tff(252,plain,
% 3.56/3.75 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.56/3.75 inference(modus_ponens,[status(thm)],[251, 244])).
% 3.56/3.75 tff(253,plain,
% 3.56/3.75 (![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))),
% 3.56/3.75 inference(modus_ponens,[status(thm)],[252, 242])).
% 3.56/3.75 tff(254,plain,
% 3.56/3.75 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17))))))),
% 3.56/3.75 inference(rewrite,[status(thm)],[])).
% 3.56/3.75 tff(255,plain,
% 3.56/3.75 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17))))))),
% 3.56/3.75 inference(quant_inst,[status(thm)],[])).
% 3.56/3.75 tff(256,plain,
% 3.56/3.75 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17)))))),
% 3.56/3.75 inference(modus_ponens,[status(thm)],[255, 254])).
% 3.56/3.75 tff(257,plain,
% 3.56/3.75 (~((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17))))),
% 3.56/3.75 inference(unit_resolution,[status(thm)],[256, 253, 214])).
% 3.56/3.75 tff(258,plain,
% 3.56/3.75 (((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17)))) | arboreal(tptp_fun_X97_14(X103!17))),
% 3.56/3.75 inference(tautology,[status(thm)],[])).
% 3.56/3.75 tff(259,plain,
% 3.56/3.75 (arboreal(tptp_fun_X97_14(X103!17))),
% 3.56/3.75 inference(unit_resolution,[status(thm)],[258, 257])).
% 3.56/3.75 tff(260,plain,
% 3.56/3.75 (^[X100: $i, X101: $i] : refl((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))))),
% 3.56/3.75 inference(bind,[status(th)],[])).
% 3.56/3.75 tff(261,plain,
% 3.56/3.75 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))) <=> ![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))),
% 3.56/3.75 inference(quant_intro,[status(thm)],[260])).
% 3.56/3.75 tff(262,plain,
% 3.56/3.75 (^[X100: $i, X101: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) <=> (~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))), ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) <=> (~(~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))))), rewrite((~(~(leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)))), ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))))), rewrite((occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0)) <=> (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))), (((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | (occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0))) <=> ((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))))), rewrite(((leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100))) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0))))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))), (((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | (occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0))) <=> (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))))),
% 3.59/3.75 inference(bind,[status(th)],[])).
% 3.59/3.75 tff(263,plain,
% 3.59/3.75 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | (occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0))) <=> ![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))),
% 3.59/3.75 inference(quant_intro,[status(thm)],[262])).
% 3.59/3.75 tff(264,plain,
% 3.59/3.75 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))),
% 3.59/3.75 inference(rewrite,[status(thm)],[])).
% 3.59/3.75 tff(265,plain,
% 3.59/3.75 (^[X100: $i, X101: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100))), ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> ((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100)) & (~leaf_occ(X100, X101))))), rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))), ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) <=> (occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))))), (((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))))), rewrite(((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))), (((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))))),
% 3.59/3.75 inference(bind,[status(th)],[])).
% 3.59/3.75 tff(266,plain,
% 3.59/3.75 (![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0))) <=> ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))),
% 3.59/3.75 inference(quant_intro,[status(thm)],[265])).
% 3.59/3.75 tff(267,axiom,(![X100: $i, X101: $i] : ((((occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101)) & arboreal(X100)) & (~leaf_occ(X100, X101))) => ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_46')).
% 3.59/3.75 tff(268,plain,
% 3.59/3.75 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[267, 266])).
% 3.59/3.75 tff(269,plain,
% 3.59/3.75 (![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | ?[X102: $i] : (occurrence_of(X102, tptp1) & next_subocc(X100, X102, tptp0)))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[268, 264])).
% 3.59/3.75 tff(270,plain,(
% 3.59/3.75 ![X100: $i, X101: $i] : ((~(occurrence_of(X101, tptp0) & subactivity_occurrence(X100, X101) & arboreal(X100) & (~leaf_occ(X100, X101)))) | (occurrence_of(tptp_fun_X102_16(X100), tptp1) & next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))),
% 3.59/3.75 inference(skolemize,[status(sab)],[269])).
% 3.59/3.75 tff(271,plain,
% 3.59/3.75 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[270, 263])).
% 3.59/3.75 tff(272,plain,
% 3.59/3.75 (![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[271, 261])).
% 3.59/3.75 tff(273,plain,
% 3.59/3.75 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))),
% 3.59/3.75 inference(rewrite,[status(thm)],[])).
% 3.59/3.75 tff(274,plain,
% 3.59/3.75 ((leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))) <=> ((~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))),
% 3.59/3.75 inference(rewrite,[status(thm)],[])).
% 3.59/3.75 tff(275,plain,
% 3.59/3.75 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))))),
% 3.59/3.75 inference(monotonicity,[status(thm)],[274])).
% 3.59/3.75 tff(276,plain,
% 3.59/3.75 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))),
% 3.59/3.75 inference(transitivity,[status(thm)],[275, 273])).
% 3.59/3.75 tff(277,plain,
% 3.59/3.75 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0)))))),
% 3.59/3.75 inference(quant_inst,[status(thm)],[])).
% 3.59/3.75 tff(278,plain,
% 3.59/3.75 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~arboreal(tptp_fun_X97_14(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[277, 276])).
% 3.59/3.75 tff(279,plain,
% 3.59/3.75 (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp1)) | (~next_subocc(tptp_fun_X97_14(X103!17), tptp_fun_X102_16(tptp_fun_X97_14(X103!17)), tptp0))))),
% 3.59/3.75 inference(unit_resolution,[status(thm)],[278, 272, 259, 240, 238])).
% 3.59/3.75 tff(280,plain,
% 3.59/3.75 (leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.59/3.75 inference(unit_resolution,[status(thm)],[279, 208])).
% 3.59/3.75 tff(281,plain,
% 3.59/3.75 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))),
% 3.59/3.75 inference(rewrite,[status(thm)],[])).
% 3.59/3.75 tff(282,plain,
% 3.59/3.75 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))),
% 3.59/3.75 inference(quant_inst,[status(thm)],[])).
% 3.59/3.75 tff(283,plain,
% 3.59/3.75 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[282, 281])).
% 3.59/3.75 tff(284,plain,
% 3.59/3.75 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))),
% 3.59/3.75 inference(unit_resolution,[status(thm)],[283, 149, 240])).
% 3.59/3.75 tff(285,plain,
% 3.59/3.75 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.59/3.75 inference(tautology,[status(thm)],[])).
% 3.59/3.75 tff(286,plain,
% 3.59/3.75 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.59/3.75 inference(unit_resolution,[status(thm)],[285, 284])).
% 3.59/3.75 tff(287,plain,
% 3.59/3.75 ((~atomic(tptp0)) <=> (~atomic(tptp0))),
% 3.59/3.75 inference(rewrite,[status(thm)],[])).
% 3.59/3.75 tff(288,axiom,(~atomic(tptp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_34')).
% 3.59/3.75 tff(289,plain,
% 3.59/3.75 (~atomic(tptp0)),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[288, 287])).
% 3.59/3.75 tff(290,plain,
% 3.59/3.75 (^[X11: $i, X12: $i, X13: $i, X14: $i] : refl(((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))),
% 3.59/3.75 inference(bind,[status(th)],[])).
% 3.59/3.75 tff(291,plain,
% 3.59/3.75 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.59/3.75 inference(quant_intro,[status(thm)],[290])).
% 3.59/3.75 tff(292,plain,
% 3.59/3.75 (^[X11: $i, X12: $i, X13: $i, X14: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) <=> (~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))), ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) <=> (~(~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))))), rewrite((~(~(atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))) <=> (atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))), ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) <=> (atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))))), (((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ((atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) | (X11 = X12)))), rewrite(((atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13))) | (X11 = X12)) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))), (((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))))),
% 3.59/3.75 inference(bind,[status(th)],[])).
% 3.59/3.75 tff(293,plain,
% 3.59/3.75 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.59/3.75 inference(quant_intro,[status(thm)],[292])).
% 3.59/3.75 tff(294,plain,
% 3.59/3.75 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.59/3.75 inference(rewrite,[status(thm)],[])).
% 3.59/3.75 tff(295,plain,
% 3.59/3.75 (^[X11: $i, X12: $i, X13: $i, X14: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13))), ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> ((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)))), rewrite(((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))), ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) <=> (occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)))), (((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) => (X11 = X12)))), rewrite(((occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))), (((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))))),
% 3.59/3.75 inference(bind,[status(th)],[])).
% 3.59/3.75 tff(296,plain,
% 3.59/3.75 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12)) <=> ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.59/3.75 inference(quant_intro,[status(thm)],[295])).
% 3.59/3.75 tff(297,axiom,(![X11: $i, X12: $i, X13: $i, X14: $i] : ((((occurrence_of(X13, X14) & (~atomic(X14))) & leaf_occ(X11, X13)) & leaf_occ(X12, X13)) => (X11 = X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_03')).
% 3.59/3.75 tff(298,plain,
% 3.59/3.75 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[297, 296])).
% 3.59/3.75 tff(299,plain,
% 3.59/3.75 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[298, 294])).
% 3.59/3.75 tff(300,plain,(
% 3.59/3.75 ![X11: $i, X12: $i, X13: $i, X14: $i] : ((~(occurrence_of(X13, X14) & (~atomic(X14)) & leaf_occ(X11, X13) & leaf_occ(X12, X13))) | (X11 = X12))),
% 3.59/3.75 inference(skolemize,[status(sab)],[299])).
% 3.59/3.75 tff(301,plain,
% 3.59/3.75 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[300, 293])).
% 3.59/3.75 tff(302,plain,
% 3.59/3.75 (![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))),
% 3.59/3.75 inference(modus_ponens,[status(thm)],[301, 291])).
% 3.59/3.75 tff(303,plain,
% 3.59/3.75 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.59/3.75 inference(rewrite,[status(thm)],[])).
% 3.59/3.75 tff(304,plain,
% 3.59/3.75 (((tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.59/3.75 inference(rewrite,[status(thm)],[])).
% 3.59/3.75 tff(305,plain,
% 3.59/3.75 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.59/3.75 inference(monotonicity,[status(thm)],[304])).
% 3.59/3.75 tff(306,plain,
% 3.59/3.75 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.59/3.75 inference(transitivity,[status(thm)],[305, 303])).
% 3.59/3.75 tff(307,plain,
% 3.59/3.75 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.59/3.76 inference(quant_inst,[status(thm)],[])).
% 3.59/3.76 tff(308,plain,
% 3.59/3.76 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~leaf_occ(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[307, 306])).
% 3.59/3.76 tff(309,plain,
% 3.59/3.76 (tptp_fun_X97_14(X103!17) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[308, 302, 289, 240, 286, 280])).
% 3.59/3.76 tff(310,plain,
% 3.59/3.76 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) = tptp_fun_X97_14(X103!17)),
% 3.59/3.76 inference(symmetry,[status(thm)],[309])).
% 3.59/3.76 tff(311,plain,
% 3.59/3.76 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17) <=> leaf_occ(tptp_fun_X97_14(X103!17), X103!17)),
% 3.59/3.76 inference(monotonicity,[status(thm)],[310])).
% 3.59/3.76 tff(312,plain,
% 3.59/3.76 (leaf_occ(tptp_fun_X97_14(X103!17), X103!17) <=> leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)),
% 3.59/3.76 inference(symmetry,[status(thm)],[311])).
% 3.59/3.76 tff(313,plain,
% 3.59/3.76 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[155, 312])).
% 3.59/3.76 tff(314,assumption,(tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), introduced(assumption)).
% 3.59/3.76 tff(315,plain,
% 3.59/3.76 (root(tptp_fun_X93_13(X103!17, tptp0), tptp0) <=> root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.59/3.76 inference(monotonicity,[status(thm)],[314])).
% 3.59/3.76 tff(316,plain,
% 3.59/3.76 (root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) <=> root(tptp_fun_X93_13(X103!17, tptp0), tptp0)),
% 3.59/3.76 inference(symmetry,[status(thm)],[315])).
% 3.59/3.76 tff(317,plain,
% 3.59/3.76 ((~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) <=> (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.76 inference(monotonicity,[status(thm)],[316])).
% 3.59/3.76 tff(318,plain,
% 3.59/3.76 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))))))),
% 3.59/3.76 inference(quant_inst,[status(thm)],[])).
% 3.59/3.76 tff(319,plain,
% 3.59/3.76 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))))))),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[318, 20])).
% 3.59/3.76 tff(320,plain,
% 3.59/3.76 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))))),
% 3.59/3.76 inference(tautology,[status(thm)],[])).
% 3.59/3.76 tff(321,plain,
% 3.59/3.76 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[320, 319])).
% 3.59/3.76 tff(322,plain,
% 3.59/3.76 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.59/3.76 inference(tautology,[status(thm)],[])).
% 3.59/3.76 tff(323,plain,
% 3.59/3.76 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[322, 284])).
% 3.59/3.76 tff(324,plain,
% 3.59/3.76 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))),
% 3.59/3.76 inference(tautology,[status(thm)],[])).
% 3.59/3.76 tff(325,plain,
% 3.59/3.76 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))))),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[324, 323])).
% 3.59/3.76 tff(326,plain,
% 3.59/3.76 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))))),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[325, 321])).
% 3.59/3.76 tff(327,plain,
% 3.59/3.76 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.59/3.76 inference(tautology,[status(thm)],[])).
% 3.59/3.76 tff(328,plain,
% 3.59/3.76 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[327, 326])).
% 3.59/3.76 tff(329,plain,
% 3.59/3.76 (^[X25: $i, X26: $i, X27: $i] : refl(((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 3.59/3.76 inference(bind,[status(th)],[])).
% 3.59/3.76 tff(330,plain,
% 3.59/3.76 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.59/3.76 inference(quant_intro,[status(thm)],[329])).
% 3.59/3.76 tff(331,plain,
% 3.59/3.76 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(332,plain,
% 3.59/3.76 (^[X25: $i, X26: $i, X27: $i] : rewrite((min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ((~root(X26, X27)) | (~min_precedes(X25, X26, X27))))),
% 3.59/3.76 inference(bind,[status(th)],[])).
% 3.59/3.76 tff(333,plain,
% 3.59/3.76 (![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27))) <=> ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.59/3.76 inference(quant_intro,[status(thm)],[332])).
% 3.59/3.76 tff(334,axiom,(![X25: $i, X26: $i, X27: $i] : (min_precedes(X25, X26, X27) => (~root(X26, X27)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_07')).
% 3.59/3.76 tff(335,plain,
% 3.59/3.76 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[334, 333])).
% 3.59/3.76 tff(336,plain,
% 3.59/3.76 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[335, 331])).
% 3.59/3.76 tff(337,plain,(
% 3.59/3.76 ![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.59/3.76 inference(skolemize,[status(sab)],[336])).
% 3.59/3.76 tff(338,plain,
% 3.59/3.76 (![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[337, 330])).
% 3.59/3.76 tff(339,plain,
% 3.59/3.76 (((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))) <=> ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(340,plain,
% 3.59/3.76 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | ((~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))),
% 3.59/3.76 inference(quant_inst,[status(thm)],[])).
% 3.59/3.76 tff(341,plain,
% 3.59/3.76 ((~![X25: $i, X26: $i, X27: $i] : ((~root(X26, X27)) | (~min_precedes(X25, X26, X27)))) | (~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[340, 339])).
% 3.59/3.76 tff(342,plain,
% 3.59/3.76 (~root(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[341, 338, 328])).
% 3.59/3.76 tff(343,plain,
% 3.59/3.76 (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[342, 317])).
% 3.59/3.76 tff(344,plain,
% 3.59/3.76 (^[X91: $i, X92: $i] : refl((atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))))),
% 3.59/3.76 inference(bind,[status(th)],[])).
% 3.59/3.76 tff(345,plain,
% 3.59/3.76 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> ![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.59/3.76 inference(quant_intro,[status(thm)],[344])).
% 3.59/3.76 tff(346,plain,
% 3.59/3.76 (^[X91: $i, X92: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X92, X91) & (~atomic(X91))) <=> (~(atomic(X91) | (~occurrence_of(X92, X91))))), ((~(occurrence_of(X92, X91) & (~atomic(X91)))) <=> (~(~(atomic(X91) | (~occurrence_of(X92, X91))))))), rewrite((~(~(atomic(X91) | (~occurrence_of(X92, X91))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)))), ((~(occurrence_of(X92, X91) & (~atomic(X91)))) <=> (atomic(X91) | (~occurrence_of(X92, X91))))), rewrite((root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)) <=> (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))), (((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> ((atomic(X91) | (~occurrence_of(X92, X91))) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))))), rewrite(((atomic(X91) | (~occurrence_of(X92, X91))) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))), (((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))))),
% 3.59/3.76 inference(bind,[status(th)],[])).
% 3.59/3.76 tff(347,plain,
% 3.59/3.76 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92))) <=> ![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.59/3.76 inference(quant_intro,[status(thm)],[346])).
% 3.59/3.76 tff(348,plain,
% 3.59/3.76 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(349,plain,
% 3.59/3.76 (^[X91: $i, X92: $i] : rewrite(((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))))),
% 3.59/3.76 inference(bind,[status(th)],[])).
% 3.59/3.76 tff(350,plain,
% 3.59/3.76 (![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92))) <=> ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.59/3.76 inference(quant_intro,[status(thm)],[349])).
% 3.59/3.76 tff(351,axiom,(![X91: $i, X92: $i] : ((occurrence_of(X92, X91) & (~atomic(X91))) => ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_30')).
% 3.59/3.76 tff(352,plain,
% 3.59/3.76 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[351, 350])).
% 3.59/3.76 tff(353,plain,
% 3.59/3.76 (![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | ?[X93: $i] : (root(X93, X91) & subactivity_occurrence(X93, X92)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[352, 348])).
% 3.59/3.76 tff(354,plain,(
% 3.59/3.76 ![X91: $i, X92: $i] : ((~(occurrence_of(X92, X91) & (~atomic(X91)))) | (root(tptp_fun_X93_13(X92, X91), X91) & subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))),
% 3.59/3.76 inference(skolemize,[status(sab)],[353])).
% 3.59/3.76 tff(355,plain,
% 3.59/3.76 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[354, 347])).
% 3.59/3.76 tff(356,plain,
% 3.59/3.76 (![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[355, 345])).
% 3.59/3.76 tff(357,plain,
% 3.59/3.76 (((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)))))) <=> ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)))))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(358,plain,
% 3.59/3.76 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)))))),
% 3.59/3.76 inference(quant_inst,[status(thm)],[])).
% 3.59/3.76 tff(359,plain,
% 3.59/3.76 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17))))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[358, 357])).
% 3.59/3.76 tff(360,plain,
% 3.59/3.76 (~((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)))),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[359, 356, 289, 73])).
% 3.59/3.76 tff(361,plain,
% 3.59/3.76 (((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17))) | root(tptp_fun_X93_13(X103!17, tptp0), tptp0)),
% 3.59/3.76 inference(tautology,[status(thm)],[])).
% 3.59/3.76 tff(362,plain,
% 3.59/3.76 (root(tptp_fun_X93_13(X103!17, tptp0), tptp0)),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[361, 360])).
% 3.59/3.76 tff(363,plain,
% 3.59/3.76 ($false),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[362, 343])).
% 3.59/3.76 tff(364,plain,(~(tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 3.59/3.76 tff(365,assumption,(leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)), introduced(assumption)).
% 3.59/3.76 tff(366,plain,
% 3.59/3.76 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(367,plain,
% 3.59/3.76 (((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17))) <=> (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(368,plain,
% 3.59/3.76 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.59/3.76 inference(monotonicity,[status(thm)],[367])).
% 3.59/3.76 tff(369,plain,
% 3.59/3.76 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.59/3.76 inference(transitivity,[status(thm)],[368, 366])).
% 3.59/3.76 tff(370,plain,
% 3.59/3.76 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))),
% 3.59/3.76 inference(quant_inst,[status(thm)],[])).
% 3.59/3.76 tff(371,plain,
% 3.59/3.76 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(X103!17, tptp0)) | (~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[370, 369])).
% 3.59/3.76 tff(372,plain,
% 3.59/3.76 ($false),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[371, 302, 289, 73, 365, 364, 313])).
% 3.59/3.76 tff(373,plain,(~leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)), inference(lemma,lemma(discharge,[]))).
% 3.59/3.76 tff(374,plain,
% 3.59/3.76 (^[X38: $i, X39: $i] : refl(((~root(X38, X39)) | legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 3.59/3.76 inference(bind,[status(th)],[])).
% 3.59/3.76 tff(375,plain,
% 3.59/3.76 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.59/3.76 inference(quant_intro,[status(thm)],[374])).
% 3.59/3.76 tff(376,plain,
% 3.59/3.76 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(377,plain,
% 3.59/3.76 (^[X38: $i, X39: $i] : rewrite((root(X38, X39) => legal(X38)) <=> ((~root(X38, X39)) | legal(X38)))),
% 3.59/3.76 inference(bind,[status(th)],[])).
% 3.59/3.76 tff(378,plain,
% 3.59/3.76 (![X38: $i, X39: $i] : (root(X38, X39) => legal(X38)) <=> ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.59/3.76 inference(quant_intro,[status(thm)],[377])).
% 3.59/3.76 tff(379,axiom,(![X38: $i, X39: $i] : (root(X38, X39) => legal(X38))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_12')).
% 3.59/3.76 tff(380,plain,
% 3.59/3.76 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[379, 378])).
% 3.59/3.76 tff(381,plain,
% 3.59/3.76 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[380, 376])).
% 3.59/3.76 tff(382,plain,(
% 3.59/3.76 ![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.59/3.76 inference(skolemize,[status(sab)],[381])).
% 3.59/3.76 tff(383,plain,
% 3.59/3.76 (![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[382, 375])).
% 3.59/3.76 tff(384,plain,
% 3.59/3.76 (((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X103!17, tptp0)))) <=> ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X103!17, tptp0)))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(385,plain,
% 3.59/3.76 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | ((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X103!17, tptp0)))),
% 3.59/3.76 inference(quant_inst,[status(thm)],[])).
% 3.59/3.76 tff(386,plain,
% 3.59/3.76 ((~![X38: $i, X39: $i] : ((~root(X38, X39)) | legal(X38))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | legal(tptp_fun_X93_13(X103!17, tptp0))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[385, 384])).
% 3.59/3.76 tff(387,plain,
% 3.59/3.76 (legal(tptp_fun_X93_13(X103!17, tptp0))),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[386, 383, 362])).
% 3.59/3.76 tff(388,plain,
% 3.59/3.76 (^[X51: $i] : refl((arboreal(X51) | (~legal(X51))) <=> (arboreal(X51) | (~legal(X51))))),
% 3.59/3.76 inference(bind,[status(th)],[])).
% 3.59/3.76 tff(389,plain,
% 3.59/3.76 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.59/3.76 inference(quant_intro,[status(thm)],[388])).
% 3.59/3.76 tff(390,plain,
% 3.59/3.76 (![X51: $i] : (arboreal(X51) | (~legal(X51))) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(391,plain,
% 3.59/3.76 (^[X51: $i] : rewrite((legal(X51) => arboreal(X51)) <=> (arboreal(X51) | (~legal(X51))))),
% 3.59/3.76 inference(bind,[status(th)],[])).
% 3.59/3.76 tff(392,plain,
% 3.59/3.76 (![X51: $i] : (legal(X51) => arboreal(X51)) <=> ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.59/3.76 inference(quant_intro,[status(thm)],[391])).
% 3.59/3.76 tff(393,axiom,(![X51: $i] : (legal(X51) => arboreal(X51))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_17')).
% 3.59/3.76 tff(394,plain,
% 3.59/3.76 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[393, 392])).
% 3.59/3.76 tff(395,plain,
% 3.59/3.76 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[394, 390])).
% 3.59/3.76 tff(396,plain,(
% 3.59/3.76 ![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.59/3.76 inference(skolemize,[status(sab)],[395])).
% 3.59/3.76 tff(397,plain,
% 3.59/3.76 (![X51: $i] : (arboreal(X51) | (~legal(X51)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[396, 389])).
% 3.59/3.76 tff(398,plain,
% 3.59/3.76 (((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(X103!17, tptp0)) | (~legal(tptp_fun_X93_13(X103!17, tptp0))))) <=> ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(X103!17, tptp0)) | (~legal(tptp_fun_X93_13(X103!17, tptp0))))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(399,plain,
% 3.59/3.76 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | (arboreal(tptp_fun_X93_13(X103!17, tptp0)) | (~legal(tptp_fun_X93_13(X103!17, tptp0))))),
% 3.59/3.76 inference(quant_inst,[status(thm)],[])).
% 3.59/3.76 tff(400,plain,
% 3.59/3.76 ((~![X51: $i] : (arboreal(X51) | (~legal(X51)))) | arboreal(tptp_fun_X93_13(X103!17, tptp0)) | (~legal(tptp_fun_X93_13(X103!17, tptp0)))),
% 3.59/3.76 inference(modus_ponens,[status(thm)],[399, 398])).
% 3.59/3.76 tff(401,plain,
% 3.59/3.76 (arboreal(tptp_fun_X93_13(X103!17, tptp0))),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[400, 397, 387])).
% 3.59/3.76 tff(402,plain,
% 3.59/3.76 (((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17))) | subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.59/3.76 inference(tautology,[status(thm)],[])).
% 3.59/3.76 tff(403,plain,
% 3.59/3.76 (subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.59/3.76 inference(unit_resolution,[status(thm)],[402, 360])).
% 3.59/3.76 tff(404,plain,
% 3.59/3.76 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(405,plain,
% 3.59/3.76 ((leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))) <=> ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.59/3.76 inference(rewrite,[status(thm)],[])).
% 3.59/3.76 tff(406,plain,
% 3.59/3.76 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))),
% 3.59/3.77 inference(monotonicity,[status(thm)],[405])).
% 3.59/3.77 tff(407,plain,
% 3.59/3.77 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.59/3.77 inference(transitivity,[status(thm)],[406, 404])).
% 3.59/3.77 tff(408,plain,
% 3.59/3.77 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.59/3.77 inference(quant_inst,[status(thm)],[])).
% 3.59/3.77 tff(409,plain,
% 3.59/3.77 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))),
% 3.59/3.77 inference(modus_ponens,[status(thm)],[408, 407])).
% 3.59/3.77 tff(410,plain,
% 3.59/3.77 (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[409, 272, 73, 403])).
% 3.59/3.77 tff(411,plain,
% 3.59/3.77 (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[410, 401])).
% 3.59/3.77 tff(412,plain,
% 3.59/3.77 (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[411, 373])).
% 3.59/3.77 tff(413,plain,
% 3.59/3.77 (((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))) | next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.59/3.77 inference(tautology,[status(thm)],[])).
% 3.59/3.77 tff(414,plain,
% 3.59/3.77 (next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[413, 412])).
% 3.59/3.77 tff(415,plain,
% 3.59/3.77 ((~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))),
% 3.59/3.77 inference(tautology,[status(thm)],[])).
% 3.59/3.77 tff(416,plain,
% 3.59/3.77 ((~((~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))))) | (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))))),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[415, 414])).
% 3.59/3.77 tff(417,plain,
% 3.59/3.77 (~((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)))))),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[416, 29])).
% 3.59/3.77 tff(418,plain,
% 3.59/3.77 (((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))))) | min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.59/3.77 inference(tautology,[status(thm)],[])).
% 3.59/3.77 tff(419,plain,
% 3.59/3.77 (min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[418, 417])).
% 3.59/3.77 tff(420,plain,
% 3.59/3.77 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))),
% 3.59/3.77 inference(rewrite,[status(thm)],[])).
% 3.59/3.77 tff(421,plain,
% 3.59/3.77 (((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) <=> ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))),
% 3.59/3.77 inference(rewrite,[status(thm)],[])).
% 3.59/3.77 tff(422,plain,
% 3.59/3.77 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))))))),
% 3.59/3.77 inference(monotonicity,[status(thm)],[421])).
% 3.59/3.77 tff(423,plain,
% 3.59/3.77 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))),
% 3.59/3.77 inference(transitivity,[status(thm)],[422, 420])).
% 3.59/3.77 tff(424,plain,
% 3.59/3.77 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.77 inference(quant_inst,[status(thm)],[])).
% 3.59/3.77 tff(425,plain,
% 3.59/3.77 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0)) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))))),
% 3.59/3.77 inference(modus_ponens,[status(thm)],[424, 423])).
% 3.59/3.77 tff(426,plain,
% 3.59/3.77 (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[425, 232, 419])).
% 3.59/3.77 tff(427,plain,
% 3.59/3.77 (((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)),
% 3.59/3.77 inference(tautology,[status(thm)],[])).
% 3.59/3.77 tff(428,plain,
% 3.59/3.77 (occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[427, 426])).
% 3.59/3.77 tff(429,plain,
% 3.59/3.77 (((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))) <=> ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.77 inference(rewrite,[status(thm)],[])).
% 3.59/3.77 tff(430,plain,
% 3.59/3.77 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.77 inference(quant_inst,[status(thm)],[])).
% 3.59/3.77 tff(431,plain,
% 3.59/3.77 ((~![X91: $i, X92: $i] : (atomic(X91) | (~occurrence_of(X92, X91)) | (~((~root(tptp_fun_X93_13(X92, X91), X91)) | (~subactivity_occurrence(tptp_fun_X93_13(X92, X91), X92)))))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.59/3.77 inference(modus_ponens,[status(thm)],[430, 429])).
% 3.59/3.77 tff(432,plain,
% 3.59/3.77 (~((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[431, 356, 289, 428])).
% 3.59/3.77 tff(433,plain,
% 3.59/3.77 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.77 inference(tautology,[status(thm)],[])).
% 3.59/3.77 tff(434,plain,
% 3.59/3.77 (subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[433, 432])).
% 3.59/3.77 tff(435,plain,
% 3.59/3.77 (((~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)),
% 3.59/3.77 inference(tautology,[status(thm)],[])).
% 3.59/3.77 tff(436,plain,
% 3.59/3.77 (root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)),
% 3.59/3.77 inference(unit_resolution,[status(thm)],[435, 432])).
% 3.59/3.77 tff(437,plain,
% 3.59/3.77 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)))),
% 3.59/3.77 inference(rewrite,[status(thm)],[])).
% 3.59/3.77 tff(438,plain,
% 3.59/3.77 (((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)))),
% 3.59/3.77 inference(rewrite,[status(thm)],[])).
% 3.59/3.77 tff(439,plain,
% 3.59/3.77 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0))))),
% 3.59/3.77 inference(monotonicity,[status(thm)],[438])).
% 3.59/3.77 tff(440,plain,
% 3.59/3.77 (((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)))),
% 3.59/3.77 inference(transitivity,[status(thm)],[439, 437])).
% 3.59/3.77 tff(441,plain,
% 3.59/3.77 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0)))),
% 3.59/3.77 inference(quant_inst,[status(thm)],[])).
% 3.59/3.77 tff(442,plain,
% 3.59/3.77 ((~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp0))),
% 3.59/3.77 inference(modus_ponens,[status(thm)],[441, 440])).
% 3.59/3.78 tff(443,plain,
% 3.59/3.78 ($false),
% 3.59/3.78 inference(unit_resolution,[status(thm)],[442, 428, 436, 434, 1])).
% 3.59/3.78 tff(444,plain,(~![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 3.59/3.78 tff(445,plain,
% 3.59/3.78 (^[X32: $i, X33: $i] : refl((~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))))),
% 3.59/3.78 inference(bind,[status(th)],[])).
% 3.59/3.78 tff(446,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.59/3.78 inference(quant_intro,[status(thm)],[445])).
% 3.59/3.78 tff(447,plain,
% 3.59/3.78 (^[X32: $i, X33: $i] : rewrite((~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))))),
% 3.59/3.78 inference(bind,[status(th)],[])).
% 3.59/3.78 tff(448,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.59/3.78 inference(quant_intro,[status(thm)],[447])).
% 3.59/3.78 tff(449,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.59/3.78 inference(transitivity,[status(thm)],[448, 446])).
% 3.59/3.78 tff(450,plain,
% 3.59/3.78 (^[X32: $i, X33: $i] : trans(monotonicity(rewrite(((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) <=> ((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))), rewrite((root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))) <=> (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))), ((((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> (((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32)))))) & (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))))), rewrite((((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32)))))) & (root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))), ((((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))))),
% 3.59/3.78 inference(bind,[status(th)],[])).
% 3.59/3.78 tff(451,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))) <=> ![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.59/3.78 inference(quant_intro,[status(thm)],[450])).
% 3.59/3.78 tff(452,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))) <=> ![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.59/3.78 inference(rewrite,[status(thm)],[])).
% 3.59/3.78 tff(453,plain,
% 3.59/3.78 (^[X32: $i, X33: $i] : rewrite((root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34))) <=> (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34))))),
% 3.59/3.78 inference(bind,[status(th)],[])).
% 3.59/3.78 tff(454,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34))) <=> ![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.59/3.78 inference(quant_intro,[status(thm)],[453])).
% 3.59/3.78 tff(455,axiom,(![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : ((occurrence_of(X33, X34) & subactivity_occurrence(X32, X33)) & root(X32, X34)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_10')).
% 3.59/3.78 tff(456,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.59/3.78 inference(modus_ponens,[status(thm)],[455, 454])).
% 3.59/3.78 tff(457,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (root_occ(X32, X33) <=> ?[X34: $i] : (occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))),
% 3.59/3.78 inference(modus_ponens,[status(thm)],[456, 452])).
% 3.59/3.78 tff(458,plain,(
% 3.59/3.78 ![X32: $i, X33: $i] : (((~root_occ(X32, X33)) | (occurrence_of(X33, tptp_fun_X34_1(X33, X32)) & subactivity_occurrence(X32, X33) & root(X32, tptp_fun_X34_1(X33, X32)))) & (root_occ(X32, X33) | ![X34: $i] : (~(occurrence_of(X33, X34) & subactivity_occurrence(X32, X33) & root(X32, X34)))))),
% 3.59/3.78 inference(skolemize,[status(sab)],[457])).
% 3.59/3.78 tff(459,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.59/3.78 inference(modus_ponens,[status(thm)],[458, 451])).
% 3.59/3.78 tff(460,plain,
% 3.59/3.78 (![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))),
% 3.59/3.78 inference(modus_ponens,[status(thm)],[459, 449])).
% 3.59/3.78 tff(461,plain,
% 3.59/3.78 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34))))))))),
% 3.59/3.78 inference(rewrite,[status(thm)],[])).
% 3.59/3.78 tff(462,plain,
% 3.59/3.78 ((~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34))))))) <=> (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))))))),
% 3.59/3.78 inference(rewrite,[status(thm)],[])).
% 3.59/3.78 tff(463,plain,
% 3.59/3.78 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34))))))))),
% 3.59/3.78 inference(monotonicity,[status(thm)],[462])).
% 3.59/3.78 tff(464,plain,
% 3.59/3.78 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34))))))))),
% 3.59/3.78 inference(transitivity,[status(thm)],[463, 461])).
% 3.59/3.78 tff(465,plain,
% 3.59/3.78 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))))))),
% 3.59/3.78 inference(quant_inst,[status(thm)],[])).
% 3.59/3.78 tff(466,plain,
% 3.59/3.78 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))))))),
% 3.59/3.78 inference(modus_ponens,[status(thm)],[465, 464])).
% 3.59/3.78 tff(467,plain,
% 3.59/3.78 (~((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34))))))),
% 3.59/3.79 inference(unit_resolution,[status(thm)],[466, 460])).
% 3.59/3.79 tff(468,plain,
% 3.59/3.79 (((~((~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))))) | (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34))))),
% 3.59/3.79 inference(tautology,[status(thm)],[])).
% 3.59/3.79 tff(469,plain,
% 3.59/3.79 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))),
% 3.59/3.79 inference(unit_resolution,[status(thm)],[468, 467])).
% 3.59/3.79 tff(470,plain,
% 3.59/3.79 ((~(root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34))))) | root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))),
% 3.59/3.79 inference(tautology,[status(thm)],[])).
% 3.59/3.79 tff(471,plain,
% 3.59/3.79 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~subactivity_occurrence(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~root(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), X34)))),
% 3.59/3.79 inference(unit_resolution,[status(thm)],[470, 469])).
% 3.59/3.79 tff(472,plain,
% 3.59/3.79 (root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.79 inference(unit_resolution,[status(thm)],[471, 444])).
% 3.59/3.79 tff(473,assumption,(![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)))), introduced(assumption)).
% 3.59/3.79 tff(474,plain,
% 3.59/3.79 (((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))) | subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.79 inference(tautology,[status(thm)],[])).
% 3.59/3.79 tff(475,plain,
% 3.59/3.79 (subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.79 inference(unit_resolution,[status(thm)],[474, 426])).
% 3.59/3.79 tff(476,plain,
% 3.59/3.79 (((~![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)))) | ((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))),
% 3.59/3.79 inference(rewrite,[status(thm)],[])).
% 3.59/3.79 tff(477,plain,
% 3.59/3.79 ((~![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)))) | ((~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))),
% 3.59/3.79 inference(quant_inst,[status(thm)],[])).
% 3.59/3.79 tff(478,plain,
% 3.59/3.79 ((~![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))),
% 3.59/3.79 inference(modus_ponens,[status(thm)],[477, 476])).
% 3.59/3.79 tff(479,plain,
% 3.59/3.79 ($false),
% 3.59/3.79 inference(unit_resolution,[status(thm)],[478, 362, 475, 428, 473])).
% 3.59/3.79 tff(480,plain,(~![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 3.59/3.79 tff(481,plain,
% 3.59/3.79 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0))))))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))))))))))),
% 3.59/3.79 inference(rewrite,[status(thm)],[])).
% 3.59/3.79 tff(482,plain,
% 3.59/3.79 ((~((~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(X103!17, tptp0), X34))))))) <=> (~((~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0))))))))))),
% 3.59/3.79 inference(rewrite,[status(thm)],[])).
% 3.59/3.79 tff(483,plain,
% 3.59/3.79 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(X103!17, tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))))))))))),
% 3.59/3.79 inference(monotonicity,[status(thm)],[482])).
% 3.59/3.79 tff(484,plain,
% 3.59/3.79 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(X103!17, tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))))))))))),
% 3.59/3.79 inference(transitivity,[status(thm)],[483, 481])).
% 3.59/3.79 tff(485,plain,
% 3.59/3.79 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))))))) | (~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X93_13(X103!17, tptp0), X34)))))))),
% 3.59/3.79 inference(quant_inst,[status(thm)],[])).
% 3.59/3.79 tff(486,plain,
% 3.59/3.79 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0))))))))))),
% 3.59/3.79 inference(modus_ponens,[status(thm)],[485, 484])).
% 3.59/3.79 tff(487,plain,
% 3.59/3.79 (~((~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))))))))),
% 3.59/3.79 inference(unit_resolution,[status(thm)],[486, 460])).
% 3.59/3.79 tff(488,plain,
% 3.59/3.79 (((~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | (~((~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0)))) | (~root(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X93_13(X103!17, tptp0))))))))) | (root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))),
% 3.59/3.79 inference(tautology,[status(thm)],[])).
% 3.59/3.79 tff(489,plain,
% 3.59/3.79 (root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)))),
% 3.59/3.79 inference(unit_resolution,[status(thm)],[488, 487])).
% 3.59/3.79 tff(490,plain,
% 3.59/3.79 ((~(root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34))))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)))),
% 3.59/3.80 inference(tautology,[status(thm)],[])).
% 3.59/3.80 tff(491,plain,
% 3.59/3.80 (root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X93_13(X103!17, tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)))),
% 3.59/3.80 inference(unit_resolution,[status(thm)],[490, 489])).
% 3.59/3.80 tff(492,plain,
% 3.59/3.80 (root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.80 inference(unit_resolution,[status(thm)],[491, 480])).
% 3.59/3.80 tff(493,plain,
% 3.59/3.80 (^[X7: $i, X8: $i, X9: $i, X10: $i] : refl(((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))),
% 3.59/3.80 inference(bind,[status(th)],[])).
% 3.59/3.80 tff(494,plain,
% 3.59/3.80 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.59/3.80 inference(quant_intro,[status(thm)],[493])).
% 3.59/3.80 tff(495,plain,
% 3.59/3.80 (^[X7: $i, X8: $i, X9: $i, X10: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) <=> (~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))), ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) <=> (~(~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))))), rewrite((~(~((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))) <=> ((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))), ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) <=> ((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))))), (((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> (((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) | (X7 = X8)))), rewrite((((~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9))) | (X7 = X8)) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))), (((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))))),
% 3.59/3.80 inference(bind,[status(th)],[])).
% 3.59/3.80 tff(496,plain,
% 3.59/3.80 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.59/3.80 inference(quant_intro,[status(thm)],[495])).
% 3.59/3.80 tff(497,plain,
% 3.59/3.80 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.59/3.80 inference(rewrite,[status(thm)],[])).
% 3.59/3.80 tff(498,plain,
% 3.59/3.80 (^[X7: $i, X8: $i, X9: $i, X10: $i] : trans(monotonicity(rewrite(((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) <=> (occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))), ((((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) => (X7 = X8)))), rewrite(((occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9)) => (X7 = X8)) <=> ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))), ((((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))))),
% 3.59/3.80 inference(bind,[status(th)],[])).
% 3.59/3.80 tff(499,plain,
% 3.59/3.80 (![X7: $i, X8: $i, X9: $i, X10: $i] : (((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8)) <=> ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.59/3.80 inference(quant_intro,[status(thm)],[498])).
% 3.59/3.80 tff(500,axiom,(![X7: $i, X8: $i, X9: $i, X10: $i] : (((occurrence_of(X9, X10) & root_occ(X7, X9)) & root_occ(X8, X9)) => (X7 = X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_02')).
% 3.59/3.80 tff(501,plain,
% 3.59/3.80 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.59/3.80 inference(modus_ponens,[status(thm)],[500, 499])).
% 3.59/3.80 tff(502,plain,
% 3.59/3.80 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.59/3.80 inference(modus_ponens,[status(thm)],[501, 497])).
% 3.59/3.80 tff(503,plain,(
% 3.59/3.80 ![X7: $i, X8: $i, X9: $i, X10: $i] : ((~(occurrence_of(X9, X10) & root_occ(X7, X9) & root_occ(X8, X9))) | (X7 = X8))),
% 3.59/3.80 inference(skolemize,[status(sab)],[502])).
% 3.59/3.80 tff(504,plain,
% 3.59/3.80 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.59/3.80 inference(modus_ponens,[status(thm)],[503, 496])).
% 3.59/3.80 tff(505,plain,
% 3.59/3.80 (![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))),
% 3.59/3.80 inference(modus_ponens,[status(thm)],[504, 494])).
% 3.59/3.80 tff(506,plain,
% 3.59/3.80 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))),
% 3.59/3.80 inference(rewrite,[status(thm)],[])).
% 3.59/3.80 tff(507,plain,
% 3.59/3.80 (((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))),
% 3.59/3.80 inference(rewrite,[status(thm)],[])).
% 3.59/3.80 tff(508,plain,
% 3.59/3.80 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))))),
% 3.59/3.80 inference(monotonicity,[status(thm)],[507])).
% 3.59/3.80 tff(509,plain,
% 3.59/3.80 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)))),
% 3.59/3.80 inference(transitivity,[status(thm)],[508, 506])).
% 3.59/3.80 tff(510,plain,
% 3.59/3.80 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.80 inference(quant_inst,[status(thm)],[])).
% 3.59/3.80 tff(511,plain,
% 3.59/3.80 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))),
% 3.59/3.80 inference(modus_ponens,[status(thm)],[510, 509])).
% 3.59/3.80 tff(512,plain,
% 3.59/3.80 (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)),
% 3.59/3.80 inference(unit_resolution,[status(thm)],[511, 505, 428, 492, 472])).
% 3.59/3.80 tff(513,plain,
% 3.59/3.80 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X93_13(X103!17, tptp0)),
% 3.59/3.80 inference(symmetry,[status(thm)],[512])).
% 3.59/3.80 tff(514,plain,
% 3.59/3.80 (tptp_fun_X102_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0))),
% 3.59/3.80 inference(monotonicity,[status(thm)],[513])).
% 3.59/3.80 tff(515,plain,
% 3.59/3.80 (((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))) <=> ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.80 inference(rewrite,[status(thm)],[])).
% 3.59/3.80 tff(516,plain,
% 3.59/3.80 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.80 inference(quant_inst,[status(thm)],[])).
% 3.59/3.80 tff(517,plain,
% 3.59/3.80 ((~![X89: $i, X90: $i] : ((~occurrence_of(X90, X89)) | (~((~activity(X89)) | (~activity_occurrence(X90)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.59/3.80 inference(modus_ponens,[status(thm)],[516, 515])).
% 3.59/3.80 tff(518,plain,
% 3.59/3.80 (~((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.80 inference(unit_resolution,[status(thm)],[517, 86, 428])).
% 3.59/3.80 tff(519,plain,
% 3.59/3.80 (((~activity(tptp0)) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.80 inference(tautology,[status(thm)],[])).
% 3.59/3.80 tff(520,plain,
% 3.59/3.80 (activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.80 inference(unit_resolution,[status(thm)],[519, 518])).
% 3.59/3.80 tff(521,plain,
% 3.59/3.80 (((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))) <=> ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.59/3.80 inference(rewrite,[status(thm)],[])).
% 3.59/3.80 tff(522,plain,
% 3.59/3.80 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | ((~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.59/3.80 inference(quant_inst,[status(thm)],[])).
% 3.59/3.80 tff(523,plain,
% 3.59/3.80 ((~![X52: $i] : ((~activity_occurrence(X52)) | (~((~activity(tptp_fun_X53_6(X52))) | (~occurrence_of(X52, tptp_fun_X53_6(X52))))))) | (~activity_occurrence(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.80 inference(modus_ponens,[status(thm)],[522, 521])).
% 3.59/3.80 tff(524,plain,
% 3.59/3.80 (~((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.59/3.80 inference(unit_resolution,[status(thm)],[523, 105, 520])).
% 3.59/3.80 tff(525,plain,
% 3.59/3.80 (((~activity(tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.59/3.80 inference(tautology,[status(thm)],[])).
% 3.59/3.80 tff(526,plain,
% 3.59/3.80 (occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.59/3.80 inference(unit_resolution,[status(thm)],[525, 524])).
% 3.59/3.80 tff(527,plain,
% 3.59/3.80 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))))))),
% 3.59/3.80 inference(rewrite,[status(thm)],[])).
% 3.59/3.80 tff(528,plain,
% 3.59/3.80 ((~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))))) <=> (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))))))),
% 3.59/3.80 inference(rewrite,[status(thm)],[])).
% 3.59/3.80 tff(529,plain,
% 3.59/3.80 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))))))),
% 3.59/3.80 inference(monotonicity,[status(thm)],[528])).
% 3.59/3.80 tff(530,plain,
% 3.59/3.80 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))))))),
% 3.59/3.81 inference(transitivity,[status(thm)],[529, 527])).
% 3.59/3.81 tff(531,plain,
% 3.59/3.81 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)))))))),
% 3.59/3.81 inference(quant_inst,[status(thm)],[])).
% 3.59/3.81 tff(532,plain,
% 3.59/3.81 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))))))),
% 3.59/3.81 inference(modus_ponens,[status(thm)],[531, 530])).
% 3.59/3.81 tff(533,plain,
% 3.59/3.81 (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))))),
% 3.59/3.81 inference(unit_resolution,[status(thm)],[532, 460])).
% 3.59/3.81 tff(534,plain,
% 3.59/3.81 (((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))))) | ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))),
% 3.59/3.81 inference(tautology,[status(thm)],[])).
% 3.59/3.81 tff(535,plain,
% 3.59/3.81 ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.59/3.81 inference(unit_resolution,[status(thm)],[534, 533])).
% 3.59/3.81 tff(536,plain,
% 3.59/3.81 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.81 inference(rewrite,[status(thm)],[])).
% 3.59/3.81 tff(537,plain,
% 3.59/3.81 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.81 inference(rewrite,[status(thm)],[])).
% 3.59/3.81 tff(538,plain,
% 3.59/3.81 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.59/3.81 inference(monotonicity,[status(thm)],[537])).
% 3.59/3.81 tff(539,plain,
% 3.59/3.81 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.81 inference(transitivity,[status(thm)],[538, 536])).
% 3.59/3.81 tff(540,plain,
% 3.59/3.81 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))),
% 3.59/3.81 inference(quant_inst,[status(thm)],[])).
% 3.59/3.81 tff(541,plain,
% 3.59/3.81 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.59/3.82 inference(modus_ponens,[status(thm)],[540, 539])).
% 3.59/3.82 tff(542,plain,
% 3.59/3.82 (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.82 inference(unit_resolution,[status(thm)],[541, 149, 428])).
% 3.59/3.82 tff(543,plain,
% 3.59/3.82 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.82 inference(tautology,[status(thm)],[])).
% 3.59/3.82 tff(544,plain,
% 3.59/3.82 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.82 inference(unit_resolution,[status(thm)],[543, 542])).
% 3.59/3.82 tff(545,plain,
% 3.59/3.82 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.59/3.82 inference(tautology,[status(thm)],[])).
% 3.59/3.82 tff(546,plain,
% 3.59/3.82 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.59/3.82 inference(unit_resolution,[status(thm)],[545, 544])).
% 3.59/3.82 tff(547,plain,
% 3.59/3.82 (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.82 inference(unit_resolution,[status(thm)],[546, 535])).
% 3.59/3.82 tff(548,plain,
% 3.59/3.82 (((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.82 inference(tautology,[status(thm)],[])).
% 3.59/3.82 tff(549,plain,
% 3.59/3.82 (occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.82 inference(unit_resolution,[status(thm)],[548, 547])).
% 3.59/3.82 tff(550,plain,
% 3.59/3.82 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.59/3.82 inference(rewrite,[status(thm)],[])).
% 3.59/3.82 tff(551,plain,
% 3.59/3.82 (((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.59/3.82 inference(rewrite,[status(thm)],[])).
% 3.59/3.82 tff(552,plain,
% 3.59/3.82 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.59/3.82 inference(monotonicity,[status(thm)],[551])).
% 3.59/3.82 tff(553,plain,
% 3.59/3.82 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.59/3.82 inference(transitivity,[status(thm)],[552, 550])).
% 3.59/3.82 tff(554,plain,
% 3.59/3.82 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.59/3.82 inference(quant_inst,[status(thm)],[])).
% 3.59/3.82 tff(555,plain,
% 3.59/3.82 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.82 inference(modus_ponens,[status(thm)],[554, 553])).
% 3.59/3.82 tff(556,plain,
% 3.59/3.82 (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.59/3.82 inference(unit_resolution,[status(thm)],[555, 173, 549, 526])).
% 3.59/3.82 tff(557,plain,
% 3.59/3.82 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0))),
% 3.59/3.82 inference(rewrite,[status(thm)],[])).
% 3.59/3.82 tff(558,plain,
% 3.59/3.82 (((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0))),
% 3.59/3.82 inference(rewrite,[status(thm)],[])).
% 3.59/3.82 tff(559,plain,
% 3.59/3.82 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0)))),
% 3.59/3.82 inference(monotonicity,[status(thm)],[558])).
% 3.59/3.82 tff(560,plain,
% 3.59/3.82 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0))),
% 3.59/3.82 inference(transitivity,[status(thm)],[559, 557])).
% 3.59/3.82 tff(561,plain,
% 3.59/3.82 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.59/3.82 inference(quant_inst,[status(thm)],[])).
% 3.59/3.82 tff(562,plain,
% 3.59/3.82 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0)),
% 3.59/3.82 inference(modus_ponens,[status(thm)],[561, 560])).
% 3.59/3.82 tff(563,plain,
% 3.59/3.82 (tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp0),
% 3.59/3.82 inference(unit_resolution,[status(thm)],[562, 173, 428, 526])).
% 3.59/3.82 tff(564,plain,
% 3.59/3.82 (tptp0 = tptp_fun_X53_6(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.59/3.82 inference(symmetry,[status(thm)],[563])).
% 3.59/3.82 tff(565,plain,
% 3.59/3.82 (tptp0 = tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.59/3.82 inference(transitivity,[status(thm)],[564, 556])).
% 3.59/3.82 tff(566,plain,
% 3.59/3.82 (root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) <=> root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.82 inference(monotonicity,[status(thm)],[565])).
% 3.59/3.82 tff(567,plain,
% 3.59/3.82 (root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) <=> root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.59/3.82 inference(symmetry,[status(thm)],[566])).
% 3.59/3.82 tff(568,plain,
% 3.59/3.82 (((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) | root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.83 inference(tautology,[status(thm)],[])).
% 3.59/3.83 tff(569,plain,
% 3.59/3.83 (root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.59/3.83 inference(unit_resolution,[status(thm)],[568, 547])).
% 3.59/3.83 tff(570,plain,
% 3.59/3.83 (root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.59/3.83 inference(modus_ponens,[status(thm)],[569, 567])).
% 3.59/3.83 tff(571,assumption,(~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), introduced(assumption)).
% 3.59/3.83 tff(572,plain,
% 3.59/3.83 ($false),
% 3.59/3.83 inference(unit_resolution,[status(thm)],[571, 570])).
% 3.59/3.83 tff(573,plain,(root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), inference(lemma,lemma(discharge,[]))).
% 3.59/3.83 tff(574,assumption,(![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))), introduced(assumption)).
% 3.59/3.83 tff(575,plain,
% 3.59/3.83 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))))),
% 3.59/3.83 inference(rewrite,[status(thm)],[])).
% 3.59/3.83 tff(576,plain,
% 3.59/3.83 ((~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))),
% 3.59/3.83 inference(rewrite,[status(thm)],[])).
% 3.59/3.83 tff(577,plain,
% 3.59/3.83 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))))),
% 3.59/3.83 inference(monotonicity,[status(thm)],[576])).
% 3.59/3.83 tff(578,plain,
% 3.59/3.83 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))))),
% 3.67/3.83 inference(transitivity,[status(thm)],[577, 575])).
% 3.67/3.83 tff(579,plain,
% 3.67/3.83 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))),
% 3.67/3.83 inference(quant_inst,[status(thm)],[])).
% 3.67/3.83 tff(580,plain,
% 3.67/3.83 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))),
% 3.67/3.83 inference(modus_ponens,[status(thm)],[579, 578])).
% 3.67/3.83 tff(581,plain,
% 3.67/3.83 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))),
% 3.67/3.83 inference(unit_resolution,[status(thm)],[580, 20])).
% 3.67/3.83 tff(582,plain,
% 3.67/3.83 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))),
% 3.67/3.84 inference(tautology,[status(thm)],[])).
% 3.67/3.84 tff(583,plain,
% 3.67/3.84 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))),
% 3.67/3.84 inference(unit_resolution,[status(thm)],[582, 581])).
% 3.67/3.84 tff(584,plain,
% 3.67/3.84 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.67/3.84 inference(tautology,[status(thm)],[])).
% 3.67/3.84 tff(585,plain,
% 3.67/3.84 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.67/3.84 inference(unit_resolution,[status(thm)],[584, 542])).
% 3.67/3.84 tff(586,plain,
% 3.67/3.84 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))),
% 3.67/3.84 inference(tautology,[status(thm)],[])).
% 3.67/3.84 tff(587,plain,
% 3.67/3.84 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))),
% 3.67/3.84 inference(unit_resolution,[status(thm)],[586, 585])).
% 3.67/3.84 tff(588,plain,
% 3.67/3.84 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))),
% 3.67/3.84 inference(unit_resolution,[status(thm)],[587, 583])).
% 3.67/3.84 tff(589,plain,
% 3.67/3.84 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.67/3.84 inference(tautology,[status(thm)],[])).
% 3.67/3.84 tff(590,plain,
% 3.67/3.84 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.67/3.84 inference(unit_resolution,[status(thm)],[589, 588])).
% 3.67/3.84 tff(591,plain,
% 3.67/3.84 (((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))))) <=> ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))))),
% 3.67/3.84 inference(rewrite,[status(thm)],[])).
% 3.67/3.84 tff(592,plain,
% 3.67/3.84 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))))),
% 3.67/3.84 inference(quant_inst,[status(thm)],[])).
% 3.67/3.84 tff(593,plain,
% 3.67/3.84 ((~![X70: $i, X71: $i, X72: $i] : ((~min_precedes(X71, X72, X70)) | (~((~occurrence_of(tptp_fun_X73_8(X72, X71, X70), X70)) | (~subactivity_occurrence(X71, tptp_fun_X73_8(X72, X71, X70))) | (~subactivity_occurrence(X72, tptp_fun_X73_8(X72, X71, X70))))))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))),
% 3.67/3.84 inference(modus_ponens,[status(thm)],[592, 591])).
% 3.67/3.84 tff(594,plain,
% 3.67/3.84 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))),
% 3.67/3.84 inference(unit_resolution,[status(thm)],[593, 232, 590])).
% 3.67/3.84 tff(595,plain,
% 3.67/3.84 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.67/3.84 inference(tautology,[status(thm)],[])).
% 3.67/3.84 tff(596,plain,
% 3.67/3.84 (subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.67/3.84 inference(unit_resolution,[status(thm)],[595, 594])).
% 3.67/3.84 tff(597,plain,
% 3.67/3.84 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)),
% 3.67/3.84 inference(tautology,[status(thm)],[])).
% 3.67/3.84 tff(598,plain,
% 3.67/3.84 (occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)),
% 3.67/3.84 inference(unit_resolution,[status(thm)],[597, 594])).
% 3.67/3.84 tff(599,plain,
% 3.67/3.84 (((~![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.67/3.84 inference(rewrite,[status(thm)],[])).
% 3.67/3.84 tff(600,plain,
% 3.67/3.84 (((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0))) <=> ((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.67/3.84 inference(rewrite,[status(thm)],[])).
% 3.67/3.84 tff(601,plain,
% 3.67/3.84 (((~![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))) | ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))) | ((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))),
% 3.67/3.84 inference(monotonicity,[status(thm)],[600])).
% 3.67/3.84 tff(602,plain,
% 3.67/3.84 (((~![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))) | ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)))) <=> ((~![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.67/3.84 inference(transitivity,[status(thm)],[601, 599])).
% 3.67/3.84 tff(603,plain,
% 3.67/3.84 ((~![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))) | ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)))),
% 3.67/3.84 inference(quant_inst,[status(thm)],[])).
% 3.67/3.84 tff(604,plain,
% 3.67/3.84 ((~![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.67/3.85 inference(modus_ponens,[status(thm)],[603, 602])).
% 3.67/3.85 tff(605,plain,
% 3.67/3.85 ($false),
% 3.67/3.85 inference(unit_resolution,[status(thm)],[604, 598, 596, 574, 573])).
% 3.67/3.85 tff(606,plain,(~![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))), inference(lemma,lemma(discharge,[]))).
% 3.67/3.85 tff(607,plain,
% 3.67/3.85 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34))))))))),
% 3.67/3.85 inference(rewrite,[status(thm)],[])).
% 3.67/3.85 tff(608,plain,
% 3.67/3.85 ((~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34))))))) <=> (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))))))),
% 3.67/3.85 inference(rewrite,[status(thm)],[])).
% 3.67/3.85 tff(609,plain,
% 3.67/3.85 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34))))))))),
% 3.67/3.85 inference(monotonicity,[status(thm)],[608])).
% 3.67/3.85 tff(610,plain,
% 3.67/3.85 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34))))))))),
% 3.67/3.85 inference(transitivity,[status(thm)],[609, 607])).
% 3.67/3.85 tff(611,plain,
% 3.67/3.85 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)))))))),
% 3.67/3.86 inference(quant_inst,[status(thm)],[])).
% 3.67/3.86 tff(612,plain,
% 3.67/3.86 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))))))),
% 3.67/3.86 inference(modus_ponens,[status(thm)],[611, 610])).
% 3.67/3.86 tff(613,plain,
% 3.67/3.86 (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34))))))),
% 3.67/3.86 inference(unit_resolution,[status(thm)],[612, 460])).
% 3.67/3.86 tff(614,plain,
% 3.67/3.86 (((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))))) | (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34))))),
% 3.67/3.86 inference(tautology,[status(thm)],[])).
% 3.67/3.86 tff(615,plain,
% 3.67/3.86 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))),
% 3.67/3.86 inference(unit_resolution,[status(thm)],[614, 613])).
% 3.67/3.86 tff(616,plain,
% 3.67/3.86 ((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34))))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))),
% 3.67/3.86 inference(tautology,[status(thm)],[])).
% 3.67/3.86 tff(617,plain,
% 3.67/3.86 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | ![X34: $i] : ((~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), X34)))),
% 3.67/3.86 inference(unit_resolution,[status(thm)],[616, 615])).
% 3.67/3.86 tff(618,plain,
% 3.67/3.86 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.67/3.86 inference(unit_resolution,[status(thm)],[617, 606])).
% 3.67/3.86 tff(619,plain,
% 3.67/3.86 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))))),
% 3.67/3.86 inference(rewrite,[status(thm)],[])).
% 3.67/3.86 tff(620,plain,
% 3.67/3.86 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))))),
% 3.67/3.86 inference(rewrite,[status(thm)],[])).
% 3.67/3.87 tff(621,plain,
% 3.67/3.87 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))))),
% 3.67/3.87 inference(monotonicity,[status(thm)],[620])).
% 3.67/3.87 tff(622,plain,
% 3.67/3.87 (((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)))))) <=> ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))))),
% 3.67/3.87 inference(transitivity,[status(thm)],[621, 619])).
% 3.67/3.87 tff(623,plain,
% 3.67/3.87 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)))))),
% 3.67/3.87 inference(quant_inst,[status(thm)],[])).
% 3.67/3.87 tff(624,plain,
% 3.67/3.87 ((~![X95: $i] : ((~occurrence_of(X95, tptp0)) | (~((~occurrence_of(tptp_fun_X96_15(X95), tptp4)) | (~root_occ(tptp_fun_X96_15(X95), X95)) | (~(occurrence_of(tptp_fun_X97_14(X95), tptp2) | occurrence_of(tptp_fun_X97_14(X95), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X95), X95)) | (~next_subocc(tptp_fun_X96_15(X95), tptp_fun_X97_14(X95), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))),
% 3.67/3.87 inference(modus_ponens,[status(thm)],[623, 622])).
% 3.67/3.87 tff(625,plain,
% 3.67/3.87 (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))),
% 3.67/3.87 inference(unit_resolution,[status(thm)],[624, 149, 598])).
% 3.67/3.87 tff(626,plain,
% 3.67/3.87 (((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp3))) | (~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.67/3.87 inference(tautology,[status(thm)],[])).
% 3.67/3.87 tff(627,plain,
% 3.67/3.87 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.67/3.87 inference(unit_resolution,[status(thm)],[626, 625])).
% 3.67/3.87 tff(628,plain,
% 3.67/3.87 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))),
% 3.67/3.87 inference(rewrite,[status(thm)],[])).
% 3.67/3.87 tff(629,plain,
% 3.67/3.87 (((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))),
% 3.67/3.87 inference(rewrite,[status(thm)],[])).
% 3.67/3.87 tff(630,plain,
% 3.67/3.87 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))),
% 3.67/3.88 inference(monotonicity,[status(thm)],[629])).
% 3.67/3.88 tff(631,plain,
% 3.67/3.88 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))),
% 3.67/3.88 inference(transitivity,[status(thm)],[630, 628])).
% 3.67/3.88 tff(632,plain,
% 3.67/3.88 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))),
% 3.67/3.88 inference(quant_inst,[status(thm)],[])).
% 3.67/3.88 tff(633,plain,
% 3.67/3.88 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0), tptp0)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.67/3.88 inference(modus_ponens,[status(thm)],[632, 631])).
% 3.67/3.88 tff(634,plain,
% 3.67/3.88 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.67/3.88 inference(unit_resolution,[status(thm)],[633, 505, 598, 627, 618])).
% 3.67/3.88 tff(635,plain,
% 3.67/3.88 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.67/3.88 inference(symmetry,[status(thm)],[634])).
% 3.67/3.88 tff(636,plain,
% 3.67/3.88 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) <=> root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.67/3.88 inference(monotonicity,[status(thm)],[635])).
% 3.67/3.88 tff(637,plain,
% 3.67/3.88 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) <=> root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.67/3.88 inference(symmetry,[status(thm)],[636])).
% 3.67/3.88 tff(638,plain,
% 3.67/3.88 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.67/3.88 inference(modus_ponens,[status(thm)],[544, 637])).
% 3.67/3.88 tff(639,plain,
% 3.67/3.88 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.67/3.88 inference(rewrite,[status(thm)],[])).
% 3.67/3.88 tff(640,plain,
% 3.67/3.88 (((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.88 inference(rewrite,[status(thm)],[])).
% 3.72/3.88 tff(641,plain,
% 3.72/3.88 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.72/3.88 inference(monotonicity,[status(thm)],[640])).
% 3.72/3.88 tff(642,plain,
% 3.72/3.88 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.88 inference(transitivity,[status(thm)],[641, 639])).
% 3.72/3.88 tff(643,plain,
% 3.72/3.88 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.88 inference(quant_inst,[status(thm)],[])).
% 3.72/3.88 tff(644,plain,
% 3.72/3.88 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~root_occ(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.72/3.88 inference(modus_ponens,[status(thm)],[643, 642])).
% 3.72/3.88 tff(645,plain,
% 3.72/3.88 ((tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.72/3.88 inference(unit_resolution,[status(thm)],[644, 505, 428, 472])).
% 3.72/3.88 tff(646,plain,
% 3.72/3.88 (tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.72/3.88 inference(unit_resolution,[status(thm)],[645, 638])).
% 3.72/3.88 tff(647,plain,
% 3.72/3.88 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) = tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)),
% 3.72/3.88 inference(symmetry,[status(thm)],[646])).
% 3.72/3.88 tff(648,plain,
% 3.72/3.88 (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) = tptp_fun_X102_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))),
% 3.72/3.88 inference(monotonicity,[status(thm)],[647])).
% 3.72/3.88 tff(649,plain,
% 3.72/3.88 (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.72/3.88 inference(monotonicity,[status(thm)],[634])).
% 3.72/3.88 tff(650,plain,
% 3.72/3.88 (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) = tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0))),
% 3.72/3.88 inference(transitivity,[status(thm)],[649, 648, 514])).
% 3.72/3.88 tff(651,plain,
% 3.72/3.88 (subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) <=> subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.88 inference(monotonicity,[status(thm)],[650])).
% 3.72/3.88 tff(652,plain,
% 3.72/3.88 (subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) <=> subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.88 inference(symmetry,[status(thm)],[651])).
% 3.72/3.88 tff(653,plain,
% 3.72/3.88 (((~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))) | subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.88 inference(tautology,[status(thm)],[])).
% 3.72/3.88 tff(654,plain,
% 3.72/3.88 (subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.88 inference(unit_resolution,[status(thm)],[653, 426])).
% 3.72/3.88 tff(655,plain,
% 3.72/3.88 (subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.88 inference(modus_ponens,[status(thm)],[654, 652])).
% 3.72/3.88 tff(656,plain,
% 3.72/3.88 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))))))))),
% 3.72/3.89 inference(rewrite,[status(thm)],[])).
% 3.72/3.89 tff(657,plain,
% 3.72/3.89 ((~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))) <=> (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))))))))),
% 3.72/3.89 inference(rewrite,[status(thm)],[])).
% 3.72/3.89 tff(658,plain,
% 3.72/3.89 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))))))))),
% 3.72/3.89 inference(monotonicity,[status(thm)],[657])).
% 3.72/3.89 tff(659,plain,
% 3.72/3.89 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))))))))),
% 3.72/3.89 inference(transitivity,[status(thm)],[658, 656])).
% 3.72/3.89 tff(660,plain,
% 3.72/3.89 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))),
% 3.72/3.89 inference(quant_inst,[status(thm)],[])).
% 3.72/3.89 tff(661,plain,
% 3.72/3.89 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))))))))),
% 3.72/3.89 inference(modus_ponens,[status(thm)],[660, 659])).
% 3.72/3.89 tff(662,plain,
% 3.72/3.89 (~((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))))))),
% 3.72/3.89 inference(unit_resolution,[status(thm)],[661, 20])).
% 3.72/3.89 tff(663,plain,
% 3.72/3.89 (((~(next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))))),
% 3.72/3.89 inference(tautology,[status(thm)],[])).
% 3.72/3.89 tff(664,plain,
% 3.72/3.89 ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))))),
% 3.72/3.89 inference(unit_resolution,[status(thm)],[663, 662])).
% 3.72/3.89 tff(665,assumption,(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), introduced(assumption)).
% 3.72/3.90 tff(666,plain,
% 3.72/3.90 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) <=> next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.72/3.90 inference(monotonicity,[status(thm)],[665])).
% 3.72/3.90 tff(667,plain,
% 3.72/3.90 (next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) <=> next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.72/3.90 inference(symmetry,[status(thm)],[666])).
% 3.72/3.90 tff(668,plain,
% 3.72/3.90 ((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) <=> (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.72/3.90 inference(monotonicity,[status(thm)],[667])).
% 3.72/3.90 tff(669,plain,
% 3.72/3.90 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))))),
% 3.72/3.90 inference(rewrite,[status(thm)],[])).
% 3.72/3.90 tff(670,plain,
% 3.72/3.90 ((~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))) <=> (~((~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))),
% 3.72/3.90 inference(rewrite,[status(thm)],[])).
% 3.72/3.90 tff(671,plain,
% 3.72/3.90 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))))),
% 3.72/3.90 inference(monotonicity,[status(thm)],[670])).
% 3.72/3.90 tff(672,plain,
% 3.72/3.90 (((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))) <=> ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))))),
% 3.72/3.90 inference(transitivity,[status(thm)],[671, 669])).
% 3.72/3.90 tff(673,plain,
% 3.72/3.90 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~(next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))),
% 3.72/3.90 inference(quant_inst,[status(thm)],[])).
% 3.72/3.90 tff(674,plain,
% 3.72/3.90 ((~![X15: $i, X16: $i, X17: $i] : (~((~(next_subocc(X15, X16, X17) | (~min_precedes(X15, X16, X17)) | (~((~min_precedes(X15, tptp_fun_X18_0(X17, X16, X15), X17)) | (~min_precedes(tptp_fun_X18_0(X17, X16, X15), X16, X17)))))) | (~((~next_subocc(X15, X16, X17)) | (~((~min_precedes(X15, X16, X17)) | (~![X18: $i] : ((~min_precedes(X18, X16, X17)) | (~min_precedes(X15, X18, X17))))))))))) | (~((~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))))),
% 3.72/3.90 inference(modus_ponens,[status(thm)],[673, 672])).
% 3.72/3.90 tff(675,plain,
% 3.72/3.90 (~((~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))))),
% 3.72/3.90 inference(unit_resolution,[status(thm)],[674, 20])).
% 3.72/3.90 tff(676,plain,
% 3.72/3.90 (((~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X18_0(tptp0, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))))) | (~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))))) | ((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))),
% 3.72/3.91 inference(tautology,[status(thm)],[])).
% 3.72/3.91 tff(677,plain,
% 3.72/3.91 ((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))),
% 3.72/3.91 inference(unit_resolution,[status(thm)],[676, 675])).
% 3.72/3.91 tff(678,plain,
% 3.72/3.91 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))),
% 3.72/3.91 inference(tautology,[status(thm)],[])).
% 3.72/3.91 tff(679,plain,
% 3.72/3.91 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))),
% 3.72/3.91 inference(unit_resolution,[status(thm)],[678, 588])).
% 3.72/3.91 tff(680,plain,
% 3.72/3.91 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.72/3.91 inference(rewrite,[status(thm)],[])).
% 3.72/3.91 tff(681,plain,
% 3.72/3.91 (((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) <=> ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.72/3.91 inference(rewrite,[status(thm)],[])).
% 3.72/3.91 tff(682,plain,
% 3.72/3.91 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))),
% 3.72/3.91 inference(monotonicity,[status(thm)],[681])).
% 3.72/3.91 tff(683,plain,
% 3.72/3.91 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.72/3.91 inference(transitivity,[status(thm)],[682, 680])).
% 3.72/3.91 tff(684,plain,
% 3.72/3.91 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.72/3.91 inference(quant_inst,[status(thm)],[])).
% 3.72/3.91 tff(685,plain,
% 3.72/3.91 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.72/3.91 inference(modus_ponens,[status(thm)],[684, 683])).
% 3.72/3.91 tff(686,plain,
% 3.72/3.91 (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.72/3.91 inference(unit_resolution,[status(thm)],[685, 590, 679])).
% 3.72/3.91 tff(687,plain,
% 3.72/3.91 (((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.72/3.91 inference(tautology,[status(thm)],[])).
% 3.72/3.91 tff(688,plain,
% 3.72/3.91 ((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))),
% 3.72/3.91 inference(unit_resolution,[status(thm)],[687, 686])).
% 3.72/3.91 tff(689,plain,
% 3.72/3.91 ((~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0))))))),
% 3.72/3.91 inference(tautology,[status(thm)],[])).
% 3.72/3.91 tff(690,plain,
% 3.72/3.91 ((~((~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))))))) | (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.72/3.91 inference(unit_resolution,[status(thm)],[689, 688])).
% 3.72/3.91 tff(691,plain,
% 3.72/3.91 (~next_subocc(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.72/3.91 inference(unit_resolution,[status(thm)],[690, 677])).
% 3.72/3.91 tff(692,plain,
% 3.72/3.91 (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.72/3.91 inference(modus_ponens,[status(thm)],[691, 668])).
% 3.72/3.91 tff(693,plain,
% 3.72/3.91 ($false),
% 3.72/3.91 inference(unit_resolution,[status(thm)],[585, 692])).
% 3.72/3.91 tff(694,plain,(~(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))), inference(lemma,lemma(discharge,[]))).
% 3.72/3.91 tff(695,assumption,(leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), introduced(assumption)).
% 3.72/3.91 tff(696,plain,
% 3.72/3.91 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.91 inference(tautology,[status(thm)],[])).
% 3.72/3.91 tff(697,plain,
% 3.72/3.91 (leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.91 inference(unit_resolution,[status(thm)],[696, 542])).
% 3.72/3.91 tff(698,plain,
% 3.72/3.91 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.91 inference(rewrite,[status(thm)],[])).
% 3.72/3.91 tff(699,plain,
% 3.72/3.91 (((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) <=> (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.91 inference(rewrite,[status(thm)],[])).
% 3.72/3.91 tff(700,plain,
% 3.72/3.91 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | (atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.72/3.91 inference(monotonicity,[status(thm)],[699])).
% 3.72/3.91 tff(701,plain,
% 3.72/3.91 (((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.91 inference(transitivity,[status(thm)],[700, 698])).
% 3.72/3.91 tff(702,plain,
% 3.72/3.91 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | ((tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.91 inference(quant_inst,[status(thm)],[])).
% 3.72/3.91 tff(703,plain,
% 3.72/3.91 ((~![X11: $i, X12: $i, X13: $i, X14: $i] : ((X11 = X12) | atomic(X14) | (~occurrence_of(X13, X14)) | (~leaf_occ(X11, X13)) | (~leaf_occ(X12, X13)))) | atomic(tptp0) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.72/3.91 inference(modus_ponens,[status(thm)],[702, 701])).
% 3.72/3.91 tff(704,plain,
% 3.72/3.91 ($false),
% 3.72/3.91 inference(unit_resolution,[status(thm)],[703, 302, 289, 428, 697, 695, 694])).
% 3.72/3.91 tff(705,plain,(~leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), inference(lemma,lemma(discharge,[]))).
% 3.72/3.91 tff(706,plain,
% 3.72/3.91 (((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) | subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.91 inference(tautology,[status(thm)],[])).
% 3.72/3.91 tff(707,plain,
% 3.72/3.91 (subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[706, 547])).
% 3.72/3.92 tff(708,plain,
% 3.72/3.92 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.72/3.92 inference(rewrite,[status(thm)],[])).
% 3.72/3.92 tff(709,plain,
% 3.72/3.92 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.72/3.92 inference(quant_inst,[status(thm)],[])).
% 3.72/3.92 tff(710,plain,
% 3.72/3.92 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.72/3.92 inference(modus_ponens,[status(thm)],[709, 708])).
% 3.72/3.92 tff(711,plain,
% 3.72/3.92 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[710, 253, 585])).
% 3.72/3.92 tff(712,plain,
% 3.72/3.92 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.72/3.92 inference(tautology,[status(thm)],[])).
% 3.72/3.92 tff(713,plain,
% 3.72/3.92 (arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[712, 711])).
% 3.72/3.92 tff(714,plain,
% 3.72/3.92 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))),
% 3.72/3.92 inference(rewrite,[status(thm)],[])).
% 3.72/3.92 tff(715,plain,
% 3.72/3.92 ((leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))),
% 3.72/3.92 inference(rewrite,[status(thm)],[])).
% 3.72/3.92 tff(716,plain,
% 3.72/3.92 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))))),
% 3.72/3.92 inference(monotonicity,[status(thm)],[715])).
% 3.72/3.92 tff(717,plain,
% 3.72/3.92 (((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))) <=> ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))),
% 3.72/3.92 inference(transitivity,[status(thm)],[716, 714])).
% 3.72/3.92 tff(718,plain,
% 3.72/3.92 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))),
% 3.72/3.92 inference(quant_inst,[status(thm)],[])).
% 3.72/3.92 tff(719,plain,
% 3.72/3.92 ((~![X100: $i, X101: $i] : (leaf_occ(X100, X101) | (~subactivity_occurrence(X100, X101)) | (~occurrence_of(X101, tptp0)) | (~arboreal(X100)) | (~((~occurrence_of(tptp_fun_X102_16(X100), tptp1)) | (~next_subocc(X100, tptp_fun_X102_16(X100), tptp0)))))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))),
% 3.72/3.92 inference(modus_ponens,[status(thm)],[718, 717])).
% 3.72/3.92 tff(720,plain,
% 3.72/3.92 (leaf_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[719, 272, 428, 713, 707])).
% 3.72/3.92 tff(721,plain,
% 3.72/3.92 (~((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[720, 705])).
% 3.72/3.92 tff(722,plain,
% 3.72/3.92 (((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp1)) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))) | next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)),
% 3.72/3.92 inference(tautology,[status(thm)],[])).
% 3.72/3.92 tff(723,plain,
% 3.72/3.92 (next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[722, 721])).
% 3.72/3.92 tff(724,plain,
% 3.72/3.92 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))))),
% 3.72/3.92 inference(tautology,[status(thm)],[])).
% 3.72/3.92 tff(725,plain,
% 3.72/3.92 ((~((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))))) | (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))))),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[724, 723])).
% 3.72/3.92 tff(726,plain,
% 3.72/3.92 (~((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))))),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[725, 664])).
% 3.72/3.92 tff(727,plain,
% 3.72/3.92 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))) | ![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))),
% 3.72/3.92 inference(tautology,[status(thm)],[])).
% 3.72/3.92 tff(728,plain,
% 3.72/3.92 (![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[727, 726])).
% 3.72/3.92 tff(729,plain,
% 3.72/3.92 (((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))),
% 3.72/3.92 inference(rewrite,[status(thm)],[])).
% 3.72/3.92 tff(730,plain,
% 3.72/3.92 ((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))),
% 3.72/3.92 inference(quant_inst,[status(thm)],[])).
% 3.72/3.92 tff(731,plain,
% 3.72/3.92 ((~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))),
% 3.72/3.92 inference(modus_ponens,[status(thm)],[730, 729])).
% 3.72/3.92 tff(732,plain,
% 3.72/3.92 (~min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[731, 590, 728])).
% 3.72/3.92 tff(733,plain,
% 3.72/3.92 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~![X18: $i] : ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)) | (~min_precedes(X18, tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)),
% 3.72/3.92 inference(tautology,[status(thm)],[])).
% 3.72/3.92 tff(734,plain,
% 3.72/3.92 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)),
% 3.72/3.92 inference(unit_resolution,[status(thm)],[733, 726])).
% 3.72/3.92 tff(735,plain,
% 3.72/3.92 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.72/3.92 inference(rewrite,[status(thm)],[])).
% 3.72/3.92 tff(736,plain,
% 3.72/3.92 (((~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0))) <=> ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.72/3.92 inference(rewrite,[status(thm)],[])).
% 3.72/3.92 tff(737,plain,
% 3.72/3.92 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))))),
% 3.72/3.93 inference(monotonicity,[status(thm)],[736])).
% 3.72/3.93 tff(738,plain,
% 3.72/3.93 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.72/3.93 inference(transitivity,[status(thm)],[737, 735])).
% 3.72/3.93 tff(739,plain,
% 3.72/3.93 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)))),
% 3.72/3.93 inference(quant_inst,[status(thm)],[])).
% 3.72/3.93 tff(740,plain,
% 3.72/3.93 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))),
% 3.72/3.93 inference(modus_ponens,[status(thm)],[739, 738])).
% 3.72/3.93 tff(741,plain,
% 3.72/3.93 (~min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)),
% 3.72/3.93 inference(unit_resolution,[status(thm)],[740, 679, 734])).
% 3.72/3.93 tff(742,plain,
% 3.72/3.93 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))),
% 3.72/3.93 inference(rewrite,[status(thm)],[])).
% 3.72/3.93 tff(743,plain,
% 3.72/3.93 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))),
% 3.72/3.93 inference(quant_inst,[status(thm)],[])).
% 3.72/3.93 tff(744,plain,
% 3.72/3.93 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.72/3.93 inference(modus_ponens,[status(thm)],[743, 742])).
% 3.72/3.93 tff(745,plain,
% 3.72/3.93 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.72/3.93 inference(unit_resolution,[status(thm)],[744, 253, 723])).
% 3.72/3.93 tff(746,plain,
% 3.72/3.93 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) | arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.93 inference(tautology,[status(thm)],[])).
% 3.72/3.93 tff(747,plain,
% 3.72/3.93 (arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.93 inference(unit_resolution,[status(thm)],[746, 745])).
% 3.72/3.93 tff(748,plain,
% 3.72/3.93 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))))),
% 3.72/3.93 inference(rewrite,[status(thm)],[])).
% 3.72/3.93 tff(749,plain,
% 3.72/3.93 ((~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37))))))) <=> (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))),
% 3.72/3.93 inference(rewrite,[status(thm)],[])).
% 3.72/3.93 tff(750,plain,
% 3.72/3.93 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))))),
% 3.72/3.93 inference(monotonicity,[status(thm)],[749])).
% 3.72/3.93 tff(751,plain,
% 3.72/3.93 (((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)))))))) <=> ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))))),
% 3.72/3.93 inference(transitivity,[status(thm)],[750, 748])).
% 3.72/3.93 tff(752,plain,
% 3.72/3.93 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)))))))),
% 3.72/3.93 inference(quant_inst,[status(thm)],[])).
% 3.72/3.93 tff(753,plain,
% 3.72/3.93 ((~![X35: $i, X36: $i] : (~((~((~leaf_occ(X35, X36)) | (~((~subactivity_occurrence(X35, X36)) | (~occurrence_of(X36, tptp_fun_X37_2(X36, X35))) | (~leaf(X35, tptp_fun_X37_2(X36, X35))))))) | (~(leaf_occ(X35, X36) | ![X37: $i] : ((~occurrence_of(X36, X37)) | (~subactivity_occurrence(X35, X36)) | (~leaf(X35, X37)))))))) | (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))),
% 3.72/3.93 inference(modus_ponens,[status(thm)],[752, 751])).
% 3.72/3.94 tff(754,plain,
% 3.72/3.94 (~((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.72/3.94 inference(unit_resolution,[status(thm)],[753, 127])).
% 3.72/3.94 tff(755,plain,
% 3.72/3.94 (((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~(leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) | ![X37: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), X37)) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), X37)) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))) | ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))),
% 3.72/3.94 inference(tautology,[status(thm)],[])).
% 3.72/3.94 tff(756,plain,
% 3.72/3.94 ((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.72/3.94 inference(unit_resolution,[status(thm)],[755, 754])).
% 3.72/3.94 tff(757,plain,
% 3.72/3.94 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.72/3.94 inference(tautology,[status(thm)],[])).
% 3.72/3.94 tff(758,plain,
% 3.72/3.94 ((~((~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))))) | (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))))),
% 3.72/3.94 inference(unit_resolution,[status(thm)],[757, 697])).
% 3.72/3.94 tff(759,plain,
% 3.72/3.94 (~((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))))),
% 3.72/3.94 inference(unit_resolution,[status(thm)],[758, 756])).
% 3.72/3.94 tff(760,plain,
% 3.72/3.94 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~leaf(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X37_2(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))) | subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.94 inference(tautology,[status(thm)],[])).
% 3.72/3.94 tff(761,plain,
% 3.72/3.94 (subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.72/3.94 inference(unit_resolution,[status(thm)],[760, 759])).
% 3.72/3.94 tff(762,plain,
% 3.72/3.94 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.72/3.94 inference(tautology,[status(thm)],[])).
% 3.72/3.94 tff(763,plain,
% 3.72/3.94 (arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.72/3.94 inference(unit_resolution,[status(thm)],[762, 711])).
% 3.72/3.94 tff(764,plain,
% 3.72/3.94 (^[X85: $i, X86: $i, X87: $i, X88: $i] : refl(((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))),
% 3.72/3.94 inference(bind,[status(th)],[])).
% 3.72/3.94 tff(765,plain,
% 3.72/3.94 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.72/3.94 inference(quant_intro,[status(thm)],[764])).
% 3.72/3.94 tff(766,plain,
% 3.72/3.94 (^[X85: $i, X86: $i, X87: $i, X88: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)) <=> (~((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))), ((~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))) <=> (~(~((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))))), rewrite((~(~((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))) <=> ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))), ((~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))) <=> ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86))))), (((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))))), rewrite(((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | ((~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))), (((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))))),
% 3.72/3.94 inference(bind,[status(th)],[])).
% 3.72/3.94 tff(767,plain,
% 3.72/3.94 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.72/3.94 inference(quant_intro,[status(thm)],[766])).
% 3.72/3.94 tff(768,plain,
% 3.72/3.94 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.72/3.94 inference(rewrite,[status(thm)],[])).
% 3.72/3.94 tff(769,plain,
% 3.72/3.94 (^[X85: $i, X86: $i, X87: $i, X88: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88))), ((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) <=> ((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88)) & subactivity_occurrence(X87, X86)))), rewrite(((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88)) & subactivity_occurrence(X87, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86))), ((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86)))), (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) <=> ((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)))), rewrite(((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))), (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) <=> (occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)))), trans(monotonicity(rewrite((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) <=> (min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))), (((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88)) <=> ((min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85)) | (X87 = X88)))), rewrite(((min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85)) | (X87 = X88)) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))), (((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88)) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85)))), ((((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88))) <=> ((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)) => ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))))), rewrite(((occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86)) => ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))), ((((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88))) <=> ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))))),
% 3.72/3.94 inference(bind,[status(th)],[])).
% 3.72/3.94 tff(770,plain,
% 3.72/3.94 (![X85: $i, X86: $i, X87: $i, X88: $i] : (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88))) <=> ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.72/3.94 inference(quant_intro,[status(thm)],[769])).
% 3.72/3.94 tff(771,axiom,(![X85: $i, X86: $i, X87: $i, X88: $i] : (((((occurrence_of(X86, X85) & arboreal(X87)) & arboreal(X88)) & subactivity_occurrence(X87, X86)) & subactivity_occurrence(X88, X86)) => ((min_precedes(X87, X88, X85) | min_precedes(X88, X87, X85)) | (X87 = X88)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_28')).
% 3.72/3.94 tff(772,plain,
% 3.72/3.94 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.72/3.94 inference(modus_ponens,[status(thm)],[771, 770])).
% 3.72/3.94 tff(773,plain,
% 3.72/3.94 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.72/3.94 inference(modus_ponens,[status(thm)],[772, 768])).
% 3.72/3.94 tff(774,plain,(
% 3.72/3.94 ![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~(occurrence_of(X86, X85) & arboreal(X87) & arboreal(X88) & subactivity_occurrence(X87, X86) & subactivity_occurrence(X88, X86))))),
% 3.72/3.94 inference(skolemize,[status(sab)],[773])).
% 3.72/3.94 tff(775,plain,
% 3.72/3.94 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.72/3.94 inference(modus_ponens,[status(thm)],[774, 767])).
% 3.72/3.94 tff(776,plain,
% 3.72/3.94 (![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))),
% 3.72/3.94 inference(modus_ponens,[status(thm)],[775, 765])).
% 3.72/3.94 tff(777,plain,
% 3.72/3.94 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.94 inference(rewrite,[status(thm)],[])).
% 3.72/3.94 tff(778,plain,
% 3.72/3.94 (((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) <=> ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.72/3.94 inference(rewrite,[status(thm)],[])).
% 3.72/3.94 tff(779,plain,
% 3.72/3.94 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))))),
% 3.72/3.94 inference(monotonicity,[status(thm)],[778])).
% 3.72/3.94 tff(780,plain,
% 3.72/3.94 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.79/3.95 inference(transitivity,[status(thm)],[779, 777])).
% 3.79/3.95 tff(781,plain,
% 3.79/3.95 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))),
% 3.79/3.95 inference(quant_inst,[status(thm)],[])).
% 3.79/3.95 tff(782,plain,
% 3.79/3.95 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~arboreal(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))))) | min_precedes(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0) | min_precedes(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp0) | (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.79/3.95 inference(modus_ponens,[status(thm)],[781, 780])).
% 3.79/3.95 tff(783,plain,
% 3.79/3.95 ((tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (~subactivity_occurrence(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.79/3.95 inference(unit_resolution,[status(thm)],[782, 776, 428, 763, 761, 747, 741, 732])).
% 3.79/3.95 tff(784,plain,
% 3.79/3.95 (tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.79/3.95 inference(unit_resolution,[status(thm)],[783, 655])).
% 3.79/3.95 tff(785,plain,
% 3.79/3.95 (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.79/3.95 inference(symmetry,[status(thm)],[784])).
% 3.79/3.95 tff(786,plain,
% 3.79/3.95 (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0))) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))),
% 3.79/3.95 inference(symmetry,[status(thm)],[649])).
% 3.79/3.95 tff(787,plain,
% 3.79/3.95 (tptp_fun_X102_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)))),
% 3.79/3.95 inference(symmetry,[status(thm)],[648])).
% 3.79/3.95 tff(788,plain,
% 3.79/3.95 (tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)) = tptp_fun_X102_16(tptp_fun_X93_13(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0), tptp0))),
% 3.79/3.95 inference(symmetry,[status(thm)],[514])).
% 3.79/3.95 tff(789,plain,
% 3.79/3.95 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.79/3.95 inference(monotonicity,[status(thm)],[309])).
% 3.79/3.95 tff(790,plain,
% 3.79/3.95 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)),
% 3.79/3.95 inference(symmetry,[status(thm)],[789])).
% 3.79/3.95 tff(791,plain,
% 3.79/3.95 (min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)),
% 3.79/3.95 inference(modus_ponens,[status(thm)],[328, 790])).
% 3.79/3.95 tff(792,plain,
% 3.79/3.95 (((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))),
% 3.79/3.95 inference(tautology,[status(thm)],[])).
% 3.79/3.95 tff(793,plain,
% 3.79/3.95 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))),
% 3.79/3.95 inference(unit_resolution,[status(thm)],[792, 217])).
% 3.79/3.95 tff(794,plain,
% 3.79/3.95 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)))),
% 3.79/3.95 inference(rewrite,[status(thm)],[])).
% 3.79/3.95 tff(795,plain,
% 3.79/3.95 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))) <=> ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)))),
% 3.79/3.95 inference(rewrite,[status(thm)],[])).
% 3.79/3.95 tff(796,plain,
% 3.79/3.95 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0))))),
% 3.79/3.95 inference(monotonicity,[status(thm)],[795])).
% 3.79/3.95 tff(797,plain,
% 3.79/3.95 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)))),
% 3.79/3.95 inference(transitivity,[status(thm)],[796, 794])).
% 3.79/3.95 tff(798,plain,
% 3.79/3.95 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)))),
% 3.79/3.95 inference(quant_inst,[status(thm)],[])).
% 3.79/3.95 tff(799,plain,
% 3.79/3.95 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(X103!17), tptp0)) | (~min_precedes(tptp_fun_X96_15(X103!17), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0))),
% 3.79/3.95 inference(modus_ponens,[status(thm)],[798, 797])).
% 3.79/3.95 tff(800,plain,
% 3.79/3.95 ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(X103!17), tptp0))),
% 3.79/3.95 inference(unit_resolution,[status(thm)],[799, 793])).
% 3.79/3.95 tff(801,plain,
% 3.79/3.95 (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.79/3.95 inference(unit_resolution,[status(thm)],[800, 791])).
% 3.79/3.95 tff(802,plain,
% 3.79/3.95 (min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) <=> min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0)),
% 3.79/3.95 inference(monotonicity,[status(thm)],[310])).
% 3.79/3.95 tff(803,plain,
% 3.79/3.95 (min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0) <=> min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.79/3.95 inference(symmetry,[status(thm)],[802])).
% 3.79/3.95 tff(804,plain,
% 3.79/3.95 (min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)),
% 3.79/3.95 inference(modus_ponens,[status(thm)],[219, 803])).
% 3.79/3.95 tff(805,plain,
% 3.79/3.95 (((~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0))))) | ![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))),
% 3.79/3.95 inference(tautology,[status(thm)],[])).
% 3.79/3.95 tff(806,plain,
% 3.79/3.95 (![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))),
% 3.79/3.95 inference(unit_resolution,[status(thm)],[805, 326])).
% 3.79/3.95 tff(807,plain,
% 3.79/3.95 (((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0)))) <=> ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.79/3.95 inference(rewrite,[status(thm)],[])).
% 3.79/3.95 tff(808,plain,
% 3.79/3.95 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))) | ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.79/3.95 inference(quant_inst,[status(thm)],[])).
% 3.79/3.95 tff(809,plain,
% 3.79/3.95 ((~![X18: $i] : ((~min_precedes(X18, tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X18, tptp0)))) | (~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0))),
% 3.79/3.95 inference(modus_ponens,[status(thm)],[808, 807])).
% 3.79/3.95 tff(810,plain,
% 3.79/3.95 ((~min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0))),
% 3.79/3.95 inference(unit_resolution,[status(thm)],[809, 806])).
% 3.79/3.95 tff(811,plain,
% 3.79/3.95 (~min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0)),
% 3.79/3.95 inference(unit_resolution,[status(thm)],[810, 804])).
% 3.79/3.95 tff(812,plain,
% 3.79/3.95 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))))))),
% 3.79/3.95 inference(rewrite,[status(thm)],[])).
% 3.79/3.95 tff(813,plain,
% 3.79/3.95 ((~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))))) <=> (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))))),
% 3.79/3.95 inference(rewrite,[status(thm)],[])).
% 3.79/3.95 tff(814,plain,
% 3.79/3.95 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))))))),
% 3.79/3.95 inference(monotonicity,[status(thm)],[813])).
% 3.79/3.95 tff(815,plain,
% 3.79/3.95 (((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34)))))))) <=> ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))))))),
% 3.79/3.95 inference(transitivity,[status(thm)],[814, 812])).
% 3.79/3.95 tff(816,plain,
% 3.79/3.95 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34)))))))),
% 3.79/3.95 inference(quant_inst,[status(thm)],[])).
% 3.79/3.95 tff(817,plain,
% 3.79/3.95 ((~![X32: $i, X33: $i] : (~((~((~root_occ(X32, X33)) | (~((~subactivity_occurrence(X32, X33)) | (~occurrence_of(X33, tptp_fun_X34_1(X33, X32))) | (~root(X32, tptp_fun_X34_1(X33, X32))))))) | (~(root_occ(X32, X33) | ![X34: $i] : ((~occurrence_of(X33, X34)) | (~subactivity_occurrence(X32, X33)) | (~root(X32, X34)))))))) | (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))))),
% 3.79/3.96 inference(modus_ponens,[status(thm)],[816, 815])).
% 3.79/3.96 tff(818,plain,
% 3.79/3.96 (~((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[817, 460])).
% 3.79/3.96 tff(819,plain,
% 3.79/3.96 (((~(root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) | ![X34: $i] : ((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), X34)) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X34))))) | (~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))))) | ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))),
% 3.79/3.96 inference(tautology,[status(thm)],[])).
% 3.79/3.96 tff(820,plain,
% 3.79/3.96 ((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[819, 818])).
% 3.79/3.96 tff(821,plain,
% 3.79/3.96 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp4)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp3))) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0))) | root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.79/3.96 inference(tautology,[status(thm)],[])).
% 3.79/3.96 tff(822,plain,
% 3.79/3.96 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[821, 284])).
% 3.79/3.96 tff(823,plain,
% 3.79/3.96 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.79/3.96 inference(tautology,[status(thm)],[])).
% 3.79/3.96 tff(824,plain,
% 3.79/3.96 ((~((~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))))) | (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[823, 822])).
% 3.79/3.96 tff(825,plain,
% 3.79/3.96 (~((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[824, 820])).
% 3.79/3.96 tff(826,plain,
% 3.79/3.96 (((~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | (~root(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X34_1(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))) | subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.79/3.96 inference(tautology,[status(thm)],[])).
% 3.79/3.96 tff(827,plain,
% 3.79/3.96 (subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[826, 825])).
% 3.79/3.96 tff(828,plain,
% 3.79/3.96 (((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))) <=> ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.79/3.96 inference(rewrite,[status(thm)],[])).
% 3.79/3.96 tff(829,plain,
% 3.79/3.96 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | ((~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))))),
% 3.79/3.96 inference(quant_inst,[status(thm)],[])).
% 3.79/3.96 tff(830,plain,
% 3.79/3.96 ((~![X19: $i, X20: $i, X21: $i] : ((~next_subocc(X19, X20, X21)) | (~((~arboreal(X19)) | (~arboreal(X20)))))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0)) | (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))))),
% 3.79/3.96 inference(modus_ponens,[status(thm)],[829, 828])).
% 3.79/3.96 tff(831,plain,
% 3.79/3.96 (~((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[830, 253, 323])).
% 3.79/3.96 tff(832,plain,
% 3.79/3.96 (((~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~arboreal(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) | arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.79/3.96 inference(tautology,[status(thm)],[])).
% 3.79/3.96 tff(833,plain,
% 3.79/3.96 (arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[832, 831])).
% 3.79/3.96 tff(834,plain,
% 3.79/3.96 (((~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X97_14(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.79/3.96 inference(tautology,[status(thm)],[])).
% 3.79/3.96 tff(835,plain,
% 3.79/3.96 (subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[834, 236])).
% 3.79/3.96 tff(836,plain,
% 3.79/3.96 (((~arboreal(tptp_fun_X96_15(X103!17))) | (~arboreal(tptp_fun_X97_14(X103!17)))) | arboreal(tptp_fun_X96_15(X103!17))),
% 3.79/3.96 inference(tautology,[status(thm)],[])).
% 3.79/3.96 tff(837,plain,
% 3.79/3.96 (arboreal(tptp_fun_X96_15(X103!17))),
% 3.79/3.96 inference(unit_resolution,[status(thm)],[836, 257])).
% 3.79/3.96 tff(838,plain,
% 3.79/3.96 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.80/3.96 inference(rewrite,[status(thm)],[])).
% 3.80/3.96 tff(839,plain,
% 3.80/3.96 (((tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) <=> ((~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.80/3.96 inference(rewrite,[status(thm)],[])).
% 3.80/3.96 tff(840,plain,
% 3.80/3.96 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))))),
% 3.80/3.96 inference(monotonicity,[status(thm)],[839])).
% 3.80/3.96 tff(841,plain,
% 3.80/3.96 (((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))) <=> ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.80/3.96 inference(transitivity,[status(thm)],[840, 838])).
% 3.80/3.96 tff(842,plain,
% 3.80/3.96 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | ((tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))))),
% 3.80/3.96 inference(quant_inst,[status(thm)],[])).
% 3.80/3.96 tff(843,plain,
% 3.80/3.96 ((~![X85: $i, X86: $i, X87: $i, X88: $i] : ((X87 = X88) | min_precedes(X88, X87, X85) | min_precedes(X87, X88, X85) | (~arboreal(X87)) | (~occurrence_of(X86, X85)) | (~arboreal(X88)) | (~subactivity_occurrence(X87, X86)) | (~subactivity_occurrence(X88, X86)))) | (~arboreal(tptp_fun_X96_15(X103!17))) | (~occurrence_of(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0), tptp0)) | (~subactivity_occurrence(tptp_fun_X96_15(X103!17), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~arboreal(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))) | (~subactivity_occurrence(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | min_precedes(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp_fun_X96_15(X103!17), tptp0) | min_precedes(tptp_fun_X96_15(X103!17), tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), tptp0) | (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.80/3.96 inference(modus_ponens,[status(thm)],[842, 841])).
% 3.80/3.96 tff(844,plain,
% 3.80/3.96 (tptp_fun_X96_15(X103!17) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.80/3.96 inference(unit_resolution,[status(thm)],[843, 776, 837, 240, 835, 833, 827, 811, 801])).
% 3.80/3.96 tff(845,plain,
% 3.80/3.96 (tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)) = tptp_fun_X96_15(X103!17)),
% 3.80/3.96 inference(symmetry,[status(thm)],[844])).
% 3.80/3.96 tff(846,plain,
% 3.80/3.96 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17) <=> root_occ(tptp_fun_X96_15(X103!17), X103!17)),
% 3.80/3.96 inference(monotonicity,[status(thm)],[845])).
% 3.80/3.96 tff(847,plain,
% 3.80/3.96 (root_occ(tptp_fun_X96_15(X103!17), X103!17) <=> root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)),
% 3.80/3.96 inference(symmetry,[status(thm)],[846])).
% 3.80/3.96 tff(848,plain,
% 3.80/3.96 (((~occurrence_of(tptp_fun_X96_15(X103!17), tptp4)) | (~root_occ(tptp_fun_X96_15(X103!17), X103!17)) | (~(occurrence_of(tptp_fun_X97_14(X103!17), tptp2) | occurrence_of(tptp_fun_X97_14(X103!17), tptp3))) | (~leaf_occ(tptp_fun_X97_14(X103!17), X103!17)) | (~next_subocc(tptp_fun_X96_15(X103!17), tptp_fun_X97_14(X103!17), tptp0))) | root_occ(tptp_fun_X96_15(X103!17), X103!17)),
% 3.80/3.96 inference(tautology,[status(thm)],[])).
% 3.80/3.96 tff(849,plain,
% 3.80/3.96 (root_occ(tptp_fun_X96_15(X103!17), X103!17)),
% 3.80/3.96 inference(unit_resolution,[status(thm)],[848, 153])).
% 3.80/3.96 tff(850,plain,
% 3.80/3.96 (root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)),
% 3.80/3.96 inference(modus_ponens,[status(thm)],[849, 847])).
% 3.80/3.96 tff(851,plain,
% 3.80/3.96 (^[X98: $i, X99: $i] : refl((leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) <=> (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))),
% 3.80/3.96 inference(bind,[status(th)],[])).
% 3.80/3.96 tff(852,plain,
% 3.80/3.96 (![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) <=> ![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))),
% 3.80/3.96 inference(quant_intro,[status(thm)],[851])).
% 3.80/3.96 tff(853,plain,
% 3.80/3.96 (^[X98: $i, X99: $i] : trans(monotonicity(trans(monotonicity(rewrite((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))) <=> (~(leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))), ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) <=> (~(~(leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))))), rewrite((~(~(leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))) <=> (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))), ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) <=> (leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))))), (((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99)) <=> ((leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) | root_occ(X98, X99)))), rewrite(((leaf_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98))) | root_occ(X98, X99)) <=> (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))), (((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99)) <=> (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))))),
% 3.80/3.96 inference(bind,[status(th)],[])).
% 3.80/3.96 tff(854,plain,
% 3.80/3.96 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99)) <=> ![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))),
% 3.80/3.96 inference(quant_intro,[status(thm)],[853])).
% 3.80/3.96 tff(855,plain,
% 3.80/3.96 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99)) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.80/3.96 inference(rewrite,[status(thm)],[])).
% 3.80/3.96 tff(856,plain,
% 3.80/3.96 (^[X98: $i, X99: $i] : trans(monotonicity(trans(monotonicity(rewrite(((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) <=> (occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98))), ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) <=> ((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98)) & (~leaf_occ(X98, X99))))), rewrite(((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98)) & (~leaf_occ(X98, X99))) <=> (occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))), ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) <=> (occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))))), (((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)) <=> ((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)))), rewrite(((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)) <=> ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))), (((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)) <=> ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))))),
% 3.80/3.96 inference(bind,[status(th)],[])).
% 3.80/3.96 tff(857,plain,
% 3.80/3.96 (![X98: $i, X99: $i] : ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => root_occ(X98, X99)) <=> ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.80/3.96 inference(quant_intro,[status(thm)],[856])).
% 3.80/3.96 tff(858,axiom,(![X98: $i, X99: $i] : ((((occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99)) & arboreal(X98)) & (~leaf_occ(X98, X99))) => root_occ(X98, X99))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_45')).
% 3.80/3.96 tff(859,plain,
% 3.80/3.96 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.80/3.96 inference(modus_ponens,[status(thm)],[858, 857])).
% 3.80/3.96 tff(860,plain,
% 3.80/3.96 (![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.80/3.96 inference(modus_ponens,[status(thm)],[859, 855])).
% 3.80/3.96 tff(861,plain,(
% 3.80/3.96 ![X98: $i, X99: $i] : ((~(occurrence_of(X99, tptp0) & subactivity_occurrence(X98, X99) & arboreal(X98) & (~leaf_occ(X98, X99)))) | root_occ(X98, X99))),
% 3.80/3.96 inference(skolemize,[status(sab)],[860])).
% 3.80/3.96 tff(862,plain,
% 3.80/3.96 (![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))),
% 3.80/3.96 inference(modus_ponens,[status(thm)],[861, 854])).
% 3.80/3.96 tff(863,plain,
% 3.80/3.96 (![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))),
% 3.80/3.96 inference(modus_ponens,[status(thm)],[862, 852])).
% 3.80/3.96 tff(864,plain,
% 3.80/3.96 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17))),
% 3.80/3.96 inference(rewrite,[status(thm)],[])).
% 3.80/3.96 tff(865,plain,
% 3.80/3.96 ((leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0)))) <=> ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17))),
% 3.80/3.96 inference(rewrite,[status(thm)],[])).
% 3.80/3.96 tff(866,plain,
% 3.80/3.96 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | ((~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)))),
% 3.80/3.97 inference(monotonicity,[status(thm)],[865])).
% 3.80/3.97 tff(867,plain,
% 3.80/3.97 (((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))))) <=> ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17))),
% 3.80/3.97 inference(transitivity,[status(thm)],[866, 864])).
% 3.80/3.97 tff(868,plain,
% 3.80/3.97 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~occurrence_of(X103!17, tptp0)) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))))),
% 3.80/3.97 inference(quant_inst,[status(thm)],[])).
% 3.80/3.97 tff(869,plain,
% 3.80/3.97 ((~![X98: $i, X99: $i] : (leaf_occ(X98, X99) | root_occ(X98, X99) | (~subactivity_occurrence(X98, X99)) | (~occurrence_of(X99, tptp0)) | (~arboreal(X98)))) | (~occurrence_of(X103!17, tptp0)) | (~subactivity_occurrence(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.80/3.97 inference(modus_ponens,[status(thm)],[868, 867])).
% 3.80/3.97 tff(870,plain,
% 3.80/3.97 (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | (~arboreal(tptp_fun_X93_13(X103!17, tptp0))) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[869, 863, 73, 403])).
% 3.80/3.97 tff(871,plain,
% 3.80/3.97 (leaf_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17) | root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[870, 401])).
% 3.80/3.97 tff(872,plain,
% 3.80/3.97 (root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[871, 373])).
% 3.80/3.97 tff(873,plain,
% 3.80/3.97 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))),
% 3.80/3.97 inference(rewrite,[status(thm)],[])).
% 3.80/3.97 tff(874,plain,
% 3.80/3.97 (((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17))) <=> ((~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))),
% 3.80/3.97 inference(rewrite,[status(thm)],[])).
% 3.80/3.97 tff(875,plain,
% 3.80/3.97 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17))))),
% 3.80/3.97 inference(monotonicity,[status(thm)],[874])).
% 3.80/3.97 tff(876,plain,
% 3.80/3.97 (((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))) <=> ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))),
% 3.80/3.97 inference(transitivity,[status(thm)],[875, 873])).
% 3.80/3.97 tff(877,plain,
% 3.80/3.97 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17)))),
% 3.80/3.97 inference(quant_inst,[status(thm)],[])).
% 3.80/3.97 tff(878,plain,
% 3.80/3.97 ((~![X7: $i, X8: $i, X9: $i, X10: $i] : ((X7 = X8) | (~occurrence_of(X9, X10)) | (~root_occ(X7, X9)) | (~root_occ(X8, X9)))) | (~occurrence_of(X103!17, tptp0)) | (~root_occ(tptp_fun_X93_13(X103!17, tptp0), X103!17)) | (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17))),
% 3.80/3.97 inference(modus_ponens,[status(thm)],[877, 876])).
% 3.80/3.97 tff(879,plain,
% 3.80/3.97 ((tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)), X103!17))),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[878, 505, 73, 872])).
% 3.80/3.97 tff(880,plain,
% 3.80/3.97 (tptp_fun_X93_13(X103!17, tptp0) = tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[879, 850])).
% 3.80/3.97 tff(881,plain,
% 3.80/3.97 (tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)) = tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0)))),
% 3.80/3.97 inference(monotonicity,[status(thm)],[880])).
% 3.80/3.97 tff(882,plain,
% 3.80/3.97 (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0))),
% 3.80/3.97 inference(symmetry,[status(thm)],[881])).
% 3.80/3.97 tff(883,plain,
% 3.80/3.97 (tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))) = tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))),
% 3.80/3.97 inference(transitivity,[status(thm)],[882, 788, 787, 786, 785])).
% 3.80/3.97 tff(884,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3) <=> occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.80/3.97 inference(monotonicity,[status(thm)],[883])).
% 3.80/3.97 tff(885,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3) <=> occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)),
% 3.80/3.97 inference(symmetry,[status(thm)],[884])).
% 3.80/3.97 tff(886,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2) <=> occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2)),
% 3.80/3.97 inference(monotonicity,[status(thm)],[883])).
% 3.80/3.97 tff(887,plain,
% 3.80/3.97 ((~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) <=> (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2))),
% 3.80/3.97 inference(monotonicity,[status(thm)],[886])).
% 3.80/3.97 tff(888,assumption,(occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)), introduced(assumption)).
% 3.80/3.97 tff(889,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1) <=> occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)),
% 3.80/3.97 inference(monotonicity,[status(thm)],[881])).
% 3.80/3.97 tff(890,plain,
% 3.80/3.97 (((~occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)) | (~next_subocc(tptp_fun_X93_13(X103!17, tptp0), tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp0))) | occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)),
% 3.80/3.97 inference(tautology,[status(thm)],[])).
% 3.80/3.97 tff(891,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp1)),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[890, 412])).
% 3.80/3.97 tff(892,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)),
% 3.80/3.97 inference(modus_ponens,[status(thm)],[891, 889])).
% 3.80/3.97 tff(893,plain,
% 3.80/3.97 ((~(tptp1 = tptp2)) <=> (~(tptp1 = tptp2))),
% 3.80/3.97 inference(rewrite,[status(thm)],[])).
% 3.80/3.97 tff(894,axiom,(~(tptp1 = tptp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_43')).
% 3.80/3.97 tff(895,plain,
% 3.80/3.97 (~(tptp1 = tptp2)),
% 3.80/3.97 inference(modus_ponens,[status(thm)],[894, 893])).
% 3.80/3.97 tff(896,plain,
% 3.80/3.97 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)))),
% 3.80/3.97 inference(rewrite,[status(thm)],[])).
% 3.80/3.97 tff(897,plain,
% 3.80/3.97 (((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1))) <=> ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)))),
% 3.80/3.97 inference(rewrite,[status(thm)],[])).
% 3.80/3.97 tff(898,plain,
% 3.80/3.97 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2))))),
% 3.80/3.97 inference(monotonicity,[status(thm)],[897])).
% 3.80/3.97 tff(899,plain,
% 3.80/3.97 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)))),
% 3.80/3.97 inference(transitivity,[status(thm)],[898, 896])).
% 3.80/3.97 tff(900,plain,
% 3.80/3.97 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))),
% 3.80/3.97 inference(quant_inst,[status(thm)],[])).
% 3.80/3.97 tff(901,plain,
% 3.80/3.97 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp2) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2))),
% 3.80/3.97 inference(modus_ponens,[status(thm)],[900, 899])).
% 3.80/3.97 tff(902,plain,
% 3.80/3.97 ($false),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[901, 173, 895, 892, 888])).
% 3.80/3.97 tff(903,plain,(~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp2)), inference(lemma,lemma(discharge,[]))).
% 3.80/3.97 tff(904,plain,
% 3.80/3.97 (~occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2)),
% 3.80/3.97 inference(modus_ponens,[status(thm)],[903, 887])).
% 3.80/3.97 tff(905,plain,
% 3.80/3.97 (((~occurrence_of(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp4)) | (~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | (~root_occ(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0))) | (~next_subocc(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp0)) | (~leaf_occ(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)))) | (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))),
% 3.80/3.97 inference(tautology,[status(thm)],[])).
% 3.80/3.97 tff(906,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[905, 542])).
% 3.80/3.97 tff(907,plain,
% 3.80/3.97 ((~(occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3))) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.80/3.97 inference(tautology,[status(thm)],[])).
% 3.80/3.97 tff(908,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp2) | occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[907, 906])).
% 3.80/3.97 tff(909,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X97_14(tptp_fun_X73_8(tptp_fun_X102_16(tptp_fun_X93_13(X103!17, tptp0)), tptp_fun_X93_13(X103!17, tptp0), tptp0)), tptp3)),
% 3.80/3.97 inference(unit_resolution,[status(thm)],[908, 904])).
% 3.80/3.97 tff(910,plain,
% 3.80/3.97 (occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)),
% 3.80/3.97 inference(modus_ponens,[status(thm)],[909, 885])).
% 3.80/3.97 tff(911,plain,
% 3.80/3.97 ((~(tptp1 = tptp3)) <=> (~(tptp1 = tptp3))),
% 3.80/3.97 inference(rewrite,[status(thm)],[])).
% 3.80/3.97 tff(912,axiom,(~(tptp1 = tptp3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_42')).
% 3.80/3.97 tff(913,plain,
% 3.80/3.97 (~(tptp1 = tptp3)),
% 3.80/3.97 inference(modus_ponens,[status(thm)],[912, 911])).
% 3.80/3.97 tff(914,plain,
% 3.80/3.97 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)))),
% 3.80/3.97 inference(rewrite,[status(thm)],[])).
% 3.80/3.97 tff(915,plain,
% 3.80/3.97 (((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1))) <=> ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)))),
% 3.80/3.97 inference(rewrite,[status(thm)],[])).
% 3.80/3.97 tff(916,plain,
% 3.80/3.97 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3))))),
% 3.80/3.97 inference(monotonicity,[status(thm)],[915])).
% 3.80/3.97 tff(917,plain,
% 3.80/3.97 (((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))) <=> ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)))),
% 3.80/3.97 inference(transitivity,[status(thm)],[916, 914])).
% 3.80/3.97 tff(918,plain,
% 3.80/3.97 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | ((tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)))),
% 3.80/3.97 inference(quant_inst,[status(thm)],[])).
% 3.80/3.97 tff(919,plain,
% 3.80/3.97 ((~![X64: $i, X65: $i, X66: $i] : ((X65 = X66) | (~occurrence_of(X64, X66)) | (~occurrence_of(X64, X65)))) | (tptp1 = tptp3) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp1)) | (~occurrence_of(tptp_fun_X102_16(tptp_fun_X96_15(tptp_fun_X73_8(tptp_fun_X97_14(X103!17), tptp_fun_X96_15(X103!17), tptp0))), tptp3))),
% 3.80/3.98 inference(modus_ponens,[status(thm)],[918, 917])).
% 3.80/3.98 tff(920,plain,
% 3.80/3.98 ($false),
% 3.80/3.98 inference(unit_resolution,[status(thm)],[919, 173, 913, 892, 910])).
% 3.80/3.98 % SZS output end Proof
% 3.80/3.98 % E exiting
%------------------------------------------------------------------------------