%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRA044^2 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:49:54 AM UTC 2026
% Result : Theorem 2.24s 0.64s
% Output : CNFRefutation 2.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA044^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 18:41:46 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.LX9jACzeXx/E---3.1_2054407.p
% 2.24/0.64 % Version: 3.5.1-ho
% 2.24/0.64 % Preprocessing class: HSMSSMSSSSSNHHA.
% 2.24/0.64 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 2.24/0.64 % Starting full_lambda_6 with 900s (3) cores
% 2.24/0.64 % Starting post_as_ho1 with 300s (1) cores
% 2.24/0.64 % Starting lpo6_lambda_fix with 300s (1) cores
% 2.24/0.64 % Starting ho_unfolding_1 with 300s (1) cores
% 2.24/0.64 % Starting new_ho_10_unif with 300s (1) cores
% 2.24/0.64 % Starting ho_unfolding_2 with 300s (1) cores
% 2.24/0.64 % full_lambda_6 with pid 2054420 completed with status 0
% 2.24/0.64 % Result found by full_lambda_6
% 2.24/0.64 % Preprocessing class: HSMSSMSSSSSNHHA.
% 2.24/0.64 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 2.24/0.64 % Starting full_lambda_6 with 900s (3) cores
% 2.24/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 2.24/0.64 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 2.24/0.64 % Search class: HGHNF-FFMF00-SHHFFSBN
% 2.24/0.64 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 2.24/0.64 % Starting SubtermCWHack with 82s (1) cores
% 2.24/0.64 % Starting full_lambda_6 with 91s (1) cores
% 2.24/0.64 % Starting new_bool_3 with 184s (1) cores
% 2.24/0.64 % SubtermCWHack with pid 2054427 completed with status 10
% 2.24/0.64 % Starting new_bool_1 with 184s (1) cores
% 2.24/0.64 % full_lambda_6 with pid 2054428 completed with status 10
% 2.24/0.64 % Starting sh2l with 183s (1) cores
% 2.24/0.64 % sh2l with pid 2054443 completed with status 0
% 2.24/0.64 % Result found by sh2l
% 2.24/0.64 % Preprocessing class: HSMSSMSSSSSNHHA.
% 2.24/0.64 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 2.24/0.64 % Starting full_lambda_6 with 900s (3) cores
% 2.24/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 2.24/0.64 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 2.24/0.64 % Search class: HGHNF-FFMF00-SHHFFSBN
% 2.24/0.64 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 2.24/0.64 % Starting SubtermCWHack with 82s (1) cores
% 2.24/0.64 % Starting full_lambda_6 with 91s (1) cores
% 2.24/0.64 % Starting new_bool_3 with 184s (1) cores
% 2.24/0.64 % SubtermCWHack with pid 2054427 completed with status 10
% 2.24/0.64 % Starting new_bool_1 with 184s (1) cores
% 2.24/0.64 % full_lambda_6 with pid 2054428 completed with status 10
% 2.24/0.64 % Starting sh2l with 183s (1) cores
% 2.24/0.64 % Preprocessing time : 0.002 s
% 2.24/0.64 % Presaturation interreduction done
% 2.24/0.64
% 2.24/0.64 % Proof found!
% 2.24/0.64 % SZS status Theorem
% 2.24/0.64 % SZS output start CNFRefutation
% 2.24/0.64 thf(decl_23, type, epred1_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o).
% 2.24/0.64 thf(decl_24, type, epred2_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o).
% 2.24/0.64 thf(decl_25, type, epred3_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_26, type, epred4_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_27, type, epred5_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_28, type, epred6_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_29, type, epred7_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_30, type, epred8_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_31, type, epred9_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_32, type, epred10_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_33, type, epred11_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_34, type, epred12_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_35, type, epred13_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_36, type, epred14_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_37, type, epred15_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_38, type, epred16_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_39, type, epred17_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_40, type, epred18_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_41, type, epred19_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_42, type, epred20_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_43, type, epred21_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_44, type, epred22_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 2.24/0.64 thf(decl_45, type, epred23_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_46, type, epred24_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_47, type, epred25_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_48, type, epred26_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_49, type, epred27_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_50, type, epred28_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_51, type, epred29_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_52, type, epred30_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 2.24/0.64 thf(decl_177, type, esk155_0: $o).
% 2.24/0.64 thf(decl_178, type, esk156_1: $o > $o).
% 2.24/0.64 thf(decl_188, type, epred166_0: $o).
% 2.24/0.64 thf(decl_189, type, epred167_0: $o).
% 2.24/0.64 thf(ramsey_l_5_9_256a, conjecture, ?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))))))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X16:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o, X17:($o > ($o > $o) > $o) > $o, X18:($o > ($o > $o) > $o) > $o, X19:($o > ($o > $o) > $o) > $o, X20:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X13)))&~((X11 @ X14)))&~((X11 @ X15)))&~((X11 @ X16)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))&~((X12 @ X13)))&~((X12 @ X14)))&~((X12 @ X15)))&~((X12 @ X16)))&~((X17 @ X4)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X13)))&~((X17 @ X14)))&~((X17 @ X15)))&~((X17 @ X16)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X6)))&~((X18 @ X7)))&~((X18 @ X8)))&(X18 @ X13))&~((X18 @ X14)))&~((X18 @ X15)))&~((X18 @ X16)))&~((X19 @ X4)))&~((X19 @ X5)))&~((X19 @ X6)))&~((X19 @ X7)))&~((X19 @ X8)))&~((X19 @ X13)))&(X19 @ X14))&~((X19 @ X15)))&~((X19 @ X16)))&~((X20 @ X4)))&~((X20 @ X5)))&~((X20 @ X6)))&~((X20 @ X7)))&~((X20 @ X8)))&~((X20 @ X13)))&~((X20 @ X14)))&(X20 @ X15))&~((X20 @ X16)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X5)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X8)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X8)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X8)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X8)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15)))))), file('/export/starexec/sandbox2/tmp/tmp.LX9jACzeXx/E---3.1_2054407.p', ramsey_l_5_9_256a)).
% 2.24/0.64 thf(c_0_1, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)<=>![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X16:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o, X17:($o > ($o > $o) > $o) > $o, X18:($o > ($o > $o) > $o) > $o, X19:($o > ($o > $o) > $o) > $o, X20:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X13)))&~((X11 @ X14)))&~((X11 @ X15)))&~((X11 @ X16)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))&~((X12 @ X13)))&~((X12 @ X14)))&~((X12 @ X15)))&~((X12 @ X16)))&~((X17 @ X4)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X13)))&~((X17 @ X14)))&~((X17 @ X15)))&~((X17 @ X16)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X6)))&~((X18 @ X7)))&~((X18 @ X8)))&(X18 @ X13))&~((X18 @ X14)))&~((X18 @ X15)))&~((X18 @ X16)))&~((X19 @ X4)))&~((X19 @ X5)))&~((X19 @ X6)))&~((X19 @ X7)))&~((X19 @ X8)))&~((X19 @ X13)))&(X19 @ X14))&~((X19 @ X15)))&~((X19 @ X16)))&~((X20 @ X4)))&~((X20 @ X5)))&~((X20 @ X6)))&~((X20 @ X7)))&~((X20 @ X8)))&~((X20 @ X13)))&~((X20 @ X14)))&(X20 @ X15))&~((X20 @ X16)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X5)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X8)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X8)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X8)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X8)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15)))))), introduced(definition)).
% 2.24/0.64 thf(c_0_2, negated_conjecture, ~(?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))))))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X16:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o, X17:($o > ($o > $o) > $o) > $o, X18:($o > ($o > $o) > $o) > $o, X19:($o > ($o > $o) > $o) > $o, X20:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X13)))&~((X11 @ X14)))&~((X11 @ X15)))&~((X11 @ X16)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))&~((X12 @ X13)))&~((X12 @ X14)))&~((X12 @ X15)))&~((X12 @ X16)))&~((X17 @ X4)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X13)))&~((X17 @ X14)))&~((X17 @ X15)))&~((X17 @ X16)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X6)))&~((X18 @ X7)))&~((X18 @ X8)))&(X18 @ X13))&~((X18 @ X14)))&~((X18 @ X15)))&~((X18 @ X16)))&~((X19 @ X4)))&~((X19 @ X5)))&~((X19 @ X6)))&~((X19 @ X7)))&~((X19 @ X8)))&~((X19 @ X13)))&(X19 @ X14))&~((X19 @ X15)))&~((X19 @ X16)))&~((X20 @ X4)))&~((X20 @ X5)))&~((X20 @ X6)))&~((X20 @ X7)))&~((X20 @ X8)))&~((X20 @ X13)))&~((X20 @ X14)))&(X20 @ X15))&~((X20 @ X16)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X5)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X8)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X8)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X8)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X8)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15))))))), inference(assume_negation,[status(cth)],[ramsey_l_5_9_256a])).
% 2.24/0.64 thf(c_0_3, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred1_1 @ X1)<=>![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))))))), introduced(definition)).
% 2.24/0.64 thf(c_0_4, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X16:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o, X17:($o > ($o > $o) > $o) > $o, X18:($o > ($o > $o) > $o) > $o, X19:($o > ($o > $o) > $o) > $o, X20:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X13)))&~((X11 @ X14)))&~((X11 @ X15)))&~((X11 @ X16)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))&~((X12 @ X13)))&~((X12 @ X14)))&~((X12 @ X15)))&~((X12 @ X16)))&~((X17 @ X4)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X13)))&~((X17 @ X14)))&~((X17 @ X15)))&~((X17 @ X16)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X6)))&~((X18 @ X7)))&~((X18 @ X8)))&(X18 @ X13))&~((X18 @ X14)))&~((X18 @ X15)))&~((X18 @ X16)))&~((X19 @ X4)))&~((X19 @ X5)))&~((X19 @ X6)))&~((X19 @ X7)))&~((X19 @ X8)))&~((X19 @ X13)))&(X19 @ X14))&~((X19 @ X15)))&~((X19 @ X16)))&~((X20 @ X4)))&~((X20 @ X5)))&~((X20 @ X6)))&~((X20 @ X7)))&~((X20 @ X8)))&~((X20 @ X13)))&~((X20 @ X14)))&(X20 @ X15))&~((X20 @ X16)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X5)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X8)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X8)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X8)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X8)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15))))=>(epred2_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_1])).
% 2.24/0.64 thf(c_0_5, negated_conjecture, ~(?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&(epred1_1 @ X1))&(epred2_1 @ X1)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2, c_0_3]), c_0_1])).
% 2.24/0.64 thf(c_0_6, plain, ![X63:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((epred23_1 @ X63 @ (epred14_1 @ X63))|(epred2_1 @ X63))&(~(epred23_1 @ X63 @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(epred23_1 @ X63 @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(epred23_1 @ X63 @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(epred23_1 @ X63 @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(epred23_1 @ X63 @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(epred23_1 @ X63 @ (epred20_1 @ X63))|(epred2_1 @ X63)))&(~(epred23_1 @ X63 @ (epred21_1 @ X63))|(epred2_1 @ X63)))&(~(epred23_1 @ X63 @ (epred22_1 @ X63))|(epred2_1 @ X63)))&(~(epred24_1 @ X63 @ (epred14_1 @ X63))|(epred2_1 @ X63)))&((epred24_1 @ X63 @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(epred24_1 @ X63 @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(epred24_1 @ X63 @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(epred24_1 @ X63 @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(epred24_1 @ X63 @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(epred24_1 @ X63 @ (epred20_1 @ X63))|(epred2_1 @ X63)))&(~(epred24_1 @ X63 @ (epred21_1 @ X63))|(epred2_1 @ X63)))&(~(epred24_1 @ X63 @ (epred22_1 @ X63))|(epred2_1 @ X63)))&(~(epred25_1 @ X63 @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(epred25_1 @ X63 @ (epred15_1 @ X63))|(epred2_1 @ X63)))&((epred25_1 @ X63 @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(epred25_1 @ X63 @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(epred25_1 @ X63 @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(epred25_1 @ X63 @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(epred25_1 @ X63 @ (epred20_1 @ X63))|(epred2_1 @ X63)))&(~(epred25_1 @ X63 @ (epred21_1 @ X63))|(epred2_1 @ X63)))&(~(epred25_1 @ X63 @ (epred22_1 @ X63))|(epred2_1 @ X63)))&(~(epred26_1 @ X63 @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(epred26_1 @ X63 @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(epred26_1 @ X63 @ (epred16_1 @ X63))|(epred2_1 @ X63)))&((epred26_1 @ X63 @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(epred26_1 @ X63 @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(epred26_1 @ X63 @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(epred26_1 @ X63 @ (epred20_1 @ X63))|(epred2_1 @ X63)))&(~(epred26_1 @ X63 @ (epred21_1 @ X63))|(epred2_1 @ X63)))&(~(epred26_1 @ X63 @ (epred22_1 @ X63))|(epred2_1 @ X63)))&(~(epred27_1 @ X63 @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(epred27_1 @ X63 @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(epred27_1 @ X63 @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(epred27_1 @ X63 @ (epred17_1 @ X63))|(epred2_1 @ X63)))&((epred27_1 @ X63 @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(epred27_1 @ X63 @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(epred27_1 @ X63 @ (epred20_1 @ X63))|(epred2_1 @ X63)))&(~(epred27_1 @ X63 @ (epred21_1 @ X63))|(epred2_1 @ X63)))&(~(epred27_1 @ X63 @ (epred22_1 @ X63))|(epred2_1 @ X63)))&(~(epred28_1 @ X63 @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(epred28_1 @ X63 @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(epred28_1 @ X63 @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(epred28_1 @ X63 @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(epred28_1 @ X63 @ (epred18_1 @ X63))|(epred2_1 @ X63)))&((epred28_1 @ X63 @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(epred28_1 @ X63 @ (epred20_1 @ X63))|(epred2_1 @ X63)))&(~(epred28_1 @ X63 @ (epred21_1 @ X63))|(epred2_1 @ X63)))&(~(epred28_1 @ X63 @ (epred22_1 @ X63))|(epred2_1 @ X63)))&(~(epred29_1 @ X63 @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(epred29_1 @ X63 @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(epred29_1 @ X63 @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(epred29_1 @ X63 @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(epred29_1 @ X63 @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(epred29_1 @ X63 @ (epred19_1 @ X63))|(epred2_1 @ X63)))&((epred29_1 @ X63 @ (epred20_1 @ X63))|(epred2_1 @ X63)))&(~(epred29_1 @ X63 @ (epred21_1 @ X63))|(epred2_1 @ X63)))&(~(epred29_1 @ X63 @ (epred22_1 @ X63))|(epred2_1 @ X63)))&(~(epred30_1 @ X63 @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(epred30_1 @ X63 @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(epred30_1 @ X63 @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(epred30_1 @ X63 @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(epred30_1 @ X63 @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(epred30_1 @ X63 @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(epred30_1 @ X63 @ (epred20_1 @ X63))|(epred2_1 @ X63)))&((epred30_1 @ X63 @ (epred21_1 @ X63))|(epred2_1 @ X63)))&(~(epred30_1 @ X63 @ (epred22_1 @ X63))|(epred2_1 @ X63)))&((((((((((((((((((((((((((((((((((((~(X63 @ (epred15_1 @ X63) @ (epred14_1 @ X63))|(epred2_1 @ X63))&(~(X63 @ (epred16_1 @ X63) @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred16_1 @ X63) @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred17_1 @ X63) @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred17_1 @ X63) @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred17_1 @ X63) @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred18_1 @ X63) @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred18_1 @ X63) @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred18_1 @ X63) @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred18_1 @ X63) @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred19_1 @ X63) @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred19_1 @ X63) @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred19_1 @ X63) @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred19_1 @ X63) @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred19_1 @ X63) @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred20_1 @ X63) @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred20_1 @ X63) @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred20_1 @ X63) @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred20_1 @ X63) @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred20_1 @ X63) @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred20_1 @ X63) @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred21_1 @ X63) @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred21_1 @ X63) @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred21_1 @ X63) @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred21_1 @ X63) @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred21_1 @ X63) @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred21_1 @ X63) @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred21_1 @ X63) @ (epred20_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred22_1 @ X63) @ (epred14_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred22_1 @ X63) @ (epred15_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred22_1 @ X63) @ (epred16_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred22_1 @ X63) @ (epred17_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred22_1 @ X63) @ (epred18_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred22_1 @ X63) @ (epred19_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred22_1 @ X63) @ (epred20_1 @ X63))|(epred2_1 @ X63)))&(~(X63 @ (epred22_1 @ X63) @ (epred21_1 @ X63))|(epred2_1 @ X63))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])).
% 2.24/0.64 thf(c_0_7, negated_conjecture, ![X50:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((((X50 @ (epred3_1 @ X50) @ (epred4_1 @ X50))|~(epred1_1 @ X50)|~(epred2_1 @ X50))&(~(X50 @ (epred4_1 @ X50) @ (epred3_1 @ X50))|~(epred1_1 @ X50)|~(epred2_1 @ X50)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])).
% 2.24/0.64 thf(c_0_8, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((epred23_1 @ X1 @ (epred15_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.24/0.64 thf(c_0_9, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred23_1 @ X1 @ (epred14_1 @ X1))|(epred2_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.24/0.64 thf(c_0_10, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((X1 @ (epred15_1 @ X1) @ (epred14_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.24/0.64 thf(c_0_11, negated_conjecture, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((~((X1 @ (epred4_1 @ X1) @ (epred3_1 @ X1)))|~((epred1_1 @ X1))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 2.24/0.64 thf(c_0_12, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|((epred15_1 @ X1)!=(epred14_1 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_8, c_0_9])])).
% 2.24/0.64 thf(c_0_13, plain, (((epred15_1 @ $neq)=(epred14_1 @ $neq))|(epred2_1 @ $neq)), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_10])).
% 2.24/0.64 thf(c_0_14, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7)))))=>(epred1_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_3])).
% 2.24/0.64 thf(c_0_15, negated_conjecture, (((epred4_1 @ $neq)=(epred3_1 @ $neq))|~((epred1_1 @ $neq))|~((epred2_1 @ $neq))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_11])).
% 2.24/0.64 thf(c_0_16, plain, (epred2_1 @ $neq), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 2.24/0.64 thf(c_0_17, plain, ![X53:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((epred10_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53))&(~(epred10_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred10_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred10_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred10_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred11_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&((epred11_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred11_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred11_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred11_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred12_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(epred12_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&((epred12_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred12_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred12_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred13_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(epred13_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred13_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&((epred13_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred13_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(((((((((((X53 @ (epred6_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53))&((X53 @ (epred7_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53)))&((X53 @ (epred7_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&((X53 @ (epred8_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53)))&((X53 @ (epred8_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&((X53 @ (epred8_1 @ X53) @ (epred7_1 @ X53))|(epred1_1 @ X53)))&((X53 @ (epred9_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53)))&((X53 @ (epred9_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&((X53 @ (epred9_1 @ X53) @ (epred7_1 @ X53))|(epred1_1 @ X53)))&((X53 @ (epred9_1 @ X53) @ (epred8_1 @ X53))|(epred1_1 @ X53))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])).
% 2.24/0.64 thf(c_0_18, negated_conjecture, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|~((epred1_1 @ X1))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 2.24/0.64 thf(c_0_19, negated_conjecture, (((epred4_1 @ $neq)=(epred3_1 @ $neq))|~((epred1_1 @ $neq))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 2.24/0.64 thf(c_0_20, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((X1 @ (epred7_1 @ X1) @ (epred6_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_17])).
% 2.24/0.64 thf(c_0_21, negated_conjecture, ~((epred1_1 @ $neq)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_18]), c_0_16])]), c_0_19])).
% 2.24/0.64 thf(c_0_22, plain, ((epred7_1 @ $neq)!=(epred6_1 @ $neq)), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_20]), c_0_21])).
% 2.24/0.64 thf(c_0_23, plain, ((epred7_1 @ $neq @ ((esk155_0)) @ esk156_1)<~>(epred6_1 @ $neq @ ((esk155_0)) @ esk156_1)), inference(neg_ext,[status(thm)],[c_0_22])).
% 2.24/0.64 thf(c_0_24, plain, (epred166_0), inference(dynamic_cnf,[status(thm)],[c_0_23])).
% 2.24/0.64 thf(c_0_25, plain, (epred167_0), inference(dynamic_cnf,[status(thm)],[c_0_23])).
% 2.24/0.64 thf(c_0_26, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_23]), c_0_24]), c_0_25])]), ['proof']).
% 2.24/0.64 % SZS output end CNFRefutation
% 2.24/0.64 % Parsed axioms : 1
% 2.24/0.64 % Removed by relevancy pruning/SinE : 0
% 2.24/0.64 % Initial clauses : 140
% 2.24/0.64 % Removed in clause preprocessing : 0
% 2.24/0.64 % Initial clauses in saturation : 140
% 2.24/0.64 % Processed clauses : 465
% 2.24/0.64 % ...of these trivial : 26
% 2.24/0.64 % ...subsumed : 59
% 2.24/0.64 % ...remaining for further processing : 379
% 2.24/0.64 % Other redundant clauses eliminated : 80
% 2.24/0.64 % Clauses deleted for lack of memory : 0
% 2.24/0.64 % Backward-subsumed : 5
% 2.24/0.64 % Backward-rewritten : 6
% 2.24/0.64 % Generated clauses : 988
% 2.24/0.64 % ...of the previous two non-redundant : 711
% 2.24/0.64 % ...aggressively subsumed : 0
% 2.24/0.64 % Contextual simplify-reflections : 2
% 2.24/0.64 % Paramodulations : 33
% 2.24/0.64 % Factorizations : 0
% 2.24/0.64 % NegExts : 135
% 2.24/0.64 % Equation resolutions : 80
% 2.24/0.64 % Disequality decompositions : 0
% 2.24/0.64 % Total rewrite steps : 97
% 2.24/0.64 % ...of those cached : 89
% 2.24/0.64 % Propositional unsat checks : 0
% 2.24/0.64 % Propositional check models : 0
% 2.24/0.64 % Propositional check unsatisfiable : 0
% 2.24/0.64 % Propositional clauses : 0
% 2.24/0.64 % Propositional clauses after purity: 0
% 2.24/0.64 % Propositional unsat core size : 0
% 2.24/0.64 % Propositional preprocessing time : 0.000
% 2.24/0.64 % Propositional encoding time : 0.000
% 2.24/0.64 % Propositional solver time : 0.000
% 2.24/0.64 % Success case prop preproc time : 0.000
% 2.24/0.64 % Success case prop encoding time : 0.000
% 2.24/0.64 % Success case prop solver time : 0.000
% 2.24/0.64 % Current number of processed clauses : 219
% 2.24/0.64 % Positive orientable unit clauses : 8
% 2.24/0.64 % Positive unorientable unit clauses: 0
% 2.24/0.64 % Negative unit clauses : 14
% 2.24/0.64 % Non-unit-clauses : 197
% 2.24/0.64 % Current number of unprocessed clauses: 526
% 2.24/0.64 % ...number of literals in the above : 1257
% 2.24/0.64 % Current number of archived formulas : 0
% 2.24/0.64 % Current number of archived clauses : 160
% 2.24/0.64 % Clause-clause subsumption calls (NU) : 3769
% 2.24/0.64 % Rec. Clause-clause subsumption calls : 3642
% 2.24/0.64 % Non-unit clause-clause subsumptions : 49
% 2.24/0.64 % Unit Clause-clause subsumption calls : 788
% 2.24/0.64 % Rewrite failures with RHS unbound : 0
% 2.24/0.64 % BW rewrite match attempts : 2
% 2.24/0.64 % BW rewrite match successes : 2
% 2.24/0.64 % Condensation attempts : 0
% 2.24/0.64 % Condensation successes : 0
% 2.24/0.64 % Termbank termtop insertions : 92047
% 2.24/0.64 % Search garbage collected termcells : 3187
% 2.24/0.64
% 2.24/0.64 % -------------------------------------------------
% 2.24/0.64 % User time : 0.228 s
% 2.24/0.64 % System time : 0.020 s
% 2.24/0.64 % Total time : 0.248 s
% 2.24/0.64 % Maximum resident set size: 4212 pages
% 2.24/0.64
% 2.24/0.64 % -------------------------------------------------
% 2.24/0.64 % User time : 0.845 s
% 2.24/0.64 % System time : 0.042 s
% 2.24/0.64 % Total time : 0.887 s
% 2.24/0.64 % Maximum resident set size: 4864 pages
% 2.24/0.64 % E exiting
%------------------------------------------------------------------------------