%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRA029^2 : 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 : n016.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 07:50:03 AM UTC 2026
% Result : Theorem 0.24s 0.37s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA029^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n016.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 18:43:35 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 Running higher-order theorem proving
% 0.11/0.26 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.pE66Dyci1Q/E---3.1_750121.p
% 0.24/0.37 % Version: 3.5.1-ho
% 0.24/0.37 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.24/0.37 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.37 % Starting full_lambda_6 with 900s (3) cores
% 0.24/0.37 % Starting post_as_ho1 with 300s (1) cores
% 0.24/0.37 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.24/0.37 % Starting ho_unfolding_1 with 300s (1) cores
% 0.24/0.37 % Starting new_ho_10_unif with 300s (1) cores
% 0.24/0.37 % Starting ho_unfolding_2 with 300s (1) cores
% 0.24/0.37 % full_lambda_6 with pid 750134 completed with status 0
% 0.24/0.37 % Result found by full_lambda_6
% 0.24/0.37 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.24/0.37 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.37 % Starting full_lambda_6 with 900s (3) cores
% 0.24/0.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.24/0.37 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.24/0.37 % Search class: HGHNF-FFMF00-SHHFFMBN
% 0.24/0.37 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.24/0.37 % Starting SubtermCWHack with 82s (1) cores
% 0.24/0.37 % Starting full_lambda_6 with 91s (1) cores
% 0.24/0.37 % Starting sh3 with 163s (1) cores
% 0.24/0.37 % SubtermCWHack with pid 750140 completed with status 10
% 0.24/0.37 % Starting ho_unfolding_3 with 163s (1) cores
% 0.24/0.37 % sh3 with pid 750144 completed with status 10
% 0.24/0.37 % Starting new_ho_10_cnf2 with 163s (1) cores
% 0.24/0.37 % full_lambda_6 with pid 750143 completed with status 10
% 0.24/0.37 % Starting pre_casc_2 with 163s (1) cores
% 0.24/0.37 % new_ho_10_cnf2 with pid 750154 completed with status 10
% 0.24/0.37 % Starting new_ho_10 with 75s (1) cores
% 0.24/0.37 % ho_unfolding_3 with pid 750150 completed with status 10
% 0.24/0.37 % new_ho_10 with pid 750157 completed with status 10
% 0.24/0.37 % pre_casc_2 with pid 750156 completed with status 10
% 0.24/0.37 % Schedule exhausted
% 0.24/0.37
% 0.24/0.37 % -------------------------------------------------
% 0.24/0.37 % User time : 0.102 s
% 0.24/0.37 % System time : 0.013 s
% 0.24/0.37 % Total time : 0.116 s
% 0.24/0.37 % Maximum resident set size: 3900 pages
% 0.24/0.37 % executing default schedule for 899.884 seconds.
% 0.24/0.37 % Scheduled 7 strats onto 3 cores with 899 seconds (887 total)
% 0.24/0.37 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 129s (1) cores
% 0.24/0.37 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 129s (1) cores
% 0.24/0.37 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 129s (1) cores
% 0.24/0.37 % G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 750162 completed with status 10
% 0.24/0.37 % Starting lpo1_def_fix with 129s (1) cores
% 0.24/0.37 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 750160 completed with status 10
% 0.24/0.37 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 129s (1) cores
% 0.24/0.37 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 750161 completed with status 10
% 0.24/0.37 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 129s (1) cores
% 0.24/0.37 % G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 750167 completed with status 10
% 0.24/0.37 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 113s (1) cores
% 0.24/0.37 % H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 750168 completed with status 10
% 0.24/0.37 % lpo1_def_fix with pid 750166 completed with status 0
% 0.24/0.37 % Result found by lpo1_def_fix
% 0.24/0.37 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.24/0.37 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.37 % Starting full_lambda_6 with 900s (3) cores
% 0.24/0.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.24/0.37 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.24/0.37 % Search class: HGHNF-FFMF00-SHHFFMBN
% 0.24/0.37 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.24/0.37 % Starting SubtermCWHack with 82s (1) cores
% 0.24/0.37 % Starting full_lambda_6 with 91s (1) cores
% 0.24/0.37 % Starting sh3 with 163s (1) cores
% 0.24/0.37 % SubtermCWHack with pid 750140 completed with status 10
% 0.24/0.37 % Starting ho_unfolding_3 with 163s (1) cores
% 0.24/0.37 % sh3 with pid 750144 completed with status 10
% 0.24/0.37 % Starting new_ho_10_cnf2 with 163s (1) cores
% 0.24/0.37 % full_lambda_6 with pid 750143 completed with status 10
% 0.24/0.37 % Starting pre_casc_2 with 163s (1) cores
% 0.24/0.37 % new_ho_10_cnf2 with pid 750154 completed with status 10
% 0.24/0.37 % Starting new_ho_10 with 75s (1) cores
% 0.24/0.37 % ho_unfolding_3 with pid 750150 completed with status 10
% 0.24/0.37 % new_ho_10 with pid 750157 completed with status 10
% 0.24/0.37 % pre_casc_2 with pid 750156 completed with status 10
% 0.24/0.37 % Schedule exhausted
% 0.24/0.37
% 0.24/0.37 % -------------------------------------------------
% 0.24/0.37 % User time : 0.102 s
% 0.24/0.37 % System time : 0.013 s
% 0.24/0.37 % Total time : 0.116 s
% 0.24/0.37 % Maximum resident set size: 3900 pages
% 0.24/0.37 % executing default schedule for 899.884 seconds.
% 0.24/0.37 % Scheduled 7 strats onto 3 cores with 899 seconds (887 total)
% 0.24/0.37 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 129s (1) cores
% 0.24/0.37 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 129s (1) cores
% 0.24/0.37 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 129s (1) cores
% 0.24/0.37 % G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 750162 completed with status 10
% 0.24/0.37 % Starting lpo1_def_fix with 129s (1) cores
% 0.24/0.37 % Preprocessing time : 0.001 s
% 0.24/0.37 % Presaturation interreduction done
% 0.24/0.37
% 0.24/0.37 % Proof found!
% 0.24/0.37 % SZS status Theorem
% 0.24/0.37 % SZS output start CNFRefutation
% 0.24/0.37 thf(decl_23, type, epred1_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > $o).
% 0.24/0.37 thf(decl_24, type, epred2_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_25, type, epred3_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_26, type, epred4_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_27, type, epred5_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_28, type, epred6_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.24/0.37 thf(decl_29, type, epred7_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.24/0.37 thf(decl_30, type, epred8_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.24/0.37 thf(decl_31, type, epred9_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_32, type, epred10_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_33, type, epred11_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_34, type, epred12_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_35, type, epred13_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_36, type, epred14_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.24/0.37 thf(decl_37, type, epred15_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.24/0.37 thf(decl_38, type, epred16_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.24/0.37 thf(decl_39, type, epred17_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.24/0.37 thf(decl_84, type, esk62_1: $o > $o).
% 0.24/0.37 thf(decl_86, type, epred64_0: $o).
% 0.24/0.37 thf(ramsey_l_4_4_16a, conjecture, ?[X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((![X2:($o > $o) > $o, X3:($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X7:($o > $o) > $o, X8:(($o > $o) > $o) > $o, X9:(($o > $o) > $o) > $o, X10:(($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))))))&![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X7:($o > $o) > $o, X8:(($o > $o) > $o) > $o, X9:(($o > $o) > $o) > $o, X10:(($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)))))), file('/export/starexec/sandbox2/tmp/tmp.pE66Dyci1Q/E---3.1_750121.p', ramsey_l_4_4_16a)).
% 0.24/0.37 thf(c_0_1, negated_conjecture, ~(?[X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((![X2:($o > $o) > $o, X3:($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X7:($o > $o) > $o, X8:(($o > $o) > $o) > $o, X9:(($o > $o) > $o) > $o, X10:(($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))))))&![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X7:($o > $o) > $o, X8:(($o > $o) > $o) > $o, X9:(($o > $o) > $o) > $o, X10:(($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6))))))), inference(assume_negation,[status(cth)],[ramsey_l_4_4_16a])).
% 0.24/0.37 thf(c_0_2, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred1_1 @ X1)<=>(![X2:($o > $o) > $o, X3:($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X7:($o > $o) > $o, X8:(($o > $o) > $o) > $o, X9:(($o > $o) > $o) > $o, X10:(($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6)))))))), introduced(definition)).
% 0.24/0.37 thf(c_0_3, negated_conjecture, ~(?[X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred1_1 @ X1)&![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X7:($o > $o) > $o, X8:(($o > $o) > $o) > $o, X9:(($o > $o) > $o) > $o, X10:(($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6))))))), inference(apply_def,[status(thm)],[c_0_1, c_0_2])).
% 0.24/0.37 thf(c_0_4, negated_conjecture, ![X28:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((((((((((((((epred6_1 @ X28 @ (epred2_1 @ X28))|~(epred1_1 @ X28))&(~(epred6_1 @ X28 @ (epred3_1 @ X28))|~(epred1_1 @ X28)))&(~(epred6_1 @ X28 @ (epred4_1 @ X28))|~(epred1_1 @ X28)))&(~(epred6_1 @ X28 @ (epred5_1 @ X28))|~(epred1_1 @ X28)))&(~(epred7_1 @ X28 @ (epred2_1 @ X28))|~(epred1_1 @ X28)))&((epred7_1 @ X28 @ (epred3_1 @ X28))|~(epred1_1 @ X28)))&(~(epred7_1 @ X28 @ (epred4_1 @ X28))|~(epred1_1 @ X28)))&(~(epred7_1 @ X28 @ (epred5_1 @ X28))|~(epred1_1 @ X28)))&(~(epred8_1 @ X28 @ (epred2_1 @ X28))|~(epred1_1 @ X28)))&(~(epred8_1 @ X28 @ (epred3_1 @ X28))|~(epred1_1 @ X28)))&((epred8_1 @ X28 @ (epred4_1 @ X28))|~(epred1_1 @ X28)))&(~(epred8_1 @ X28 @ (epred5_1 @ X28))|~(epred1_1 @ X28)))&((((((~(X28 @ (epred3_1 @ X28) @ (epred2_1 @ X28))|~(epred1_1 @ X28))&(~(X28 @ (epred4_1 @ X28) @ (epred2_1 @ X28))|~(epred1_1 @ X28)))&(~(X28 @ (epred4_1 @ X28) @ (epred3_1 @ X28))|~(epred1_1 @ X28)))&(~(X28 @ (epred5_1 @ X28) @ (epred2_1 @ X28))|~(epred1_1 @ X28)))&(~(X28 @ (epred5_1 @ X28) @ (epred3_1 @ X28))|~(epred1_1 @ X28)))&(~(X28 @ (epred5_1 @ X28) @ (epred4_1 @ X28))|~(epred1_1 @ X28))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])).
% 0.24/0.37 thf(c_0_5, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((![X2:($o > $o) > $o, X3:($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X7:($o > $o) > $o, X8:(($o > $o) > $o) > $o, X9:(($o > $o) > $o) > $o, X10:(($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))))))=>(epred1_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_2])).
% 0.24/0.37 thf(c_0_6, negated_conjecture, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:((~((epred6_1 @ X1 @ (epred3_1 @ X1)))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.24/0.37 thf(c_0_7, negated_conjecture, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred6_1 @ X1 @ (epred2_1 @ X1))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.24/0.37 thf(c_0_8, negated_conjecture, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:((~((X1 @ (epred3_1 @ X1) @ (epred2_1 @ X1)))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.24/0.37 thf(c_0_9, plain, ![X36:(($o > $o) > $o) > (($o > $o) > $o) > $o]:((((((((((((((((epred15_1 @ X36 @ (epred11_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36))&(~(epred15_1 @ X36 @ (epred12_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&(~(epred15_1 @ X36 @ (epred13_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&(~(epred15_1 @ X36 @ (epred14_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&(~(epred16_1 @ X36 @ (epred11_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&((epred16_1 @ X36 @ (epred12_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&(~(epred16_1 @ X36 @ (epred13_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&(~(epred16_1 @ X36 @ (epred14_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&(~(epred17_1 @ X36 @ (epred11_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&(~(epred17_1 @ X36 @ (epred12_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&((epred17_1 @ X36 @ (epred13_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&(~(epred17_1 @ X36 @ (epred14_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&(((((((X36 @ (epred12_1 @ X36) @ (epred11_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36))&((X36 @ (epred13_1 @ X36) @ (epred11_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&((X36 @ (epred13_1 @ X36) @ (epred12_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&((X36 @ (epred14_1 @ X36) @ (epred11_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&((X36 @ (epred14_1 @ X36) @ (epred12_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36)))&((X36 @ (epred14_1 @ X36) @ (epred13_1 @ X36))|(X36 @ (epred9_1 @ X36) @ (epred10_1 @ X36))|(epred1_1 @ X36))))&((((((((((((((epred15_1 @ X36 @ (epred11_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36))&(~(epred15_1 @ X36 @ (epred12_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&(~(epred15_1 @ X36 @ (epred13_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&(~(epred15_1 @ X36 @ (epred14_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&(~(epred16_1 @ X36 @ (epred11_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&((epred16_1 @ X36 @ (epred12_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&(~(epred16_1 @ X36 @ (epred13_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&(~(epred16_1 @ X36 @ (epred14_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&(~(epred17_1 @ X36 @ (epred11_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&(~(epred17_1 @ X36 @ (epred12_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&((epred17_1 @ X36 @ (epred13_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&(~(epred17_1 @ X36 @ (epred14_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&(((((((X36 @ (epred12_1 @ X36) @ (epred11_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36))&((X36 @ (epred13_1 @ X36) @ (epred11_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&((X36 @ (epred13_1 @ X36) @ (epred12_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&((X36 @ (epred14_1 @ X36) @ (epred11_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&((X36 @ (epred14_1 @ X36) @ (epred12_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))&((X36 @ (epred14_1 @ X36) @ (epred13_1 @ X36))|~(X36 @ (epred10_1 @ X36) @ (epred9_1 @ X36))|(epred1_1 @ X36)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])])).
% 0.24/0.37 thf(c_0_10, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:((((epred3_1 @ X1)!=(epred2_1 @ X1))|~((epred1_1 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_6, c_0_7])])).
% 0.24/0.37 thf(c_0_11, negated_conjecture, (((epred3_1 @ $neq)=(epred2_1 @ $neq))|~((epred1_1 @ $neq))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])).
% 0.24/0.37 thf(c_0_12, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred1_1 @ X1)|~((epred15_1 @ X1 @ (epred12_1 @ X1)))|~((X1 @ (epred10_1 @ X1) @ (epred9_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.37 thf(c_0_13, plain, ~((epred1_1 @ $neq)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.24/0.37 thf(c_0_14, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((X1 @ (epred9_1 @ X1) @ (epred10_1 @ X1))|(epred1_1 @ X1)|~((epred15_1 @ X1 @ (epred12_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.37 thf(c_0_15, plain, (((epred10_1 @ $neq)=(epred9_1 @ $neq))|~((epred15_1 @ $neq @ (epred12_1 @ $neq)))), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_12]), c_0_13])).
% 0.24/0.37 thf(c_0_16, plain, ~((epred15_1 @ $neq @ (epred12_1 @ $neq))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_14]), c_0_13]), c_0_15])).
% 0.24/0.37 thf(c_0_17, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred15_1 @ X1 @ (epred11_1 @ X1))|(X1 @ (epred9_1 @ X1) @ (epred10_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.37 thf(c_0_18, plain, (((epred10_1 @ $neq)!=(epred9_1 @ $neq))|((epred12_1 @ $neq)!=(epred11_1 @ $neq))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_16, c_0_17])])]), c_0_13])).
% 0.24/0.37 thf(c_0_19, plain, (((epred10_1 @ $neq @ esk62_1)<~>(epred9_1 @ $neq @ esk62_1))|((epred12_1 @ $neq)!=(epred11_1 @ $neq))), inference(neg_ext,[status(thm)],[c_0_18])).
% 0.24/0.37 thf(c_0_20, plain, (epred64_0), inference(dynamic_cnf,[status(thm)],[c_0_19])).
% 0.24/0.37 thf(c_0_21, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_19]), c_0_20])]), ['proof']).
% 0.24/0.37 % SZS output end CNFRefutation
% 0.24/0.37 % Parsed axioms : 1
% 0.24/0.37 % Removed by relevancy pruning/SinE : 0
% 0.24/0.37 % Initial clauses : 54
% 0.24/0.37 % Removed in clause preprocessing : 0
% 0.24/0.37 % Initial clauses in saturation : 54
% 0.24/0.37 % Processed clauses : 200
% 0.24/0.37 % ...of these trivial : 0
% 0.24/0.37 % ...subsumed : 36
% 0.24/0.37 % ...remaining for further processing : 163
% 0.24/0.37 % Other redundant clauses eliminated : 31
% 0.24/0.37 % Clauses deleted for lack of memory : 0
% 0.24/0.37 % Backward-subsumed : 2
% 0.24/0.37 % Backward-rewritten : 0
% 0.24/0.37 % Generated clauses : 372
% 0.24/0.37 % ...of the previous two non-redundant : 300
% 0.24/0.37 % ...aggressively subsumed : 0
% 0.24/0.37 % Contextual simplify-reflections : 1
% 0.24/0.37 % Paramodulations : 19
% 0.24/0.37 % Factorizations : 0
% 0.24/0.37 % NegExts : 46
% 0.24/0.37 % Equation resolutions : 31
% 0.24/0.37 % Disequality decompositions : 0
% 0.24/0.37 % Total rewrite steps : 1
% 0.24/0.37 % ...of those cached : 0
% 0.24/0.37 % Propositional unsat checks : 0
% 0.24/0.37 % Propositional check models : 0
% 0.24/0.37 % Propositional check unsatisfiable : 0
% 0.24/0.37 % Propositional clauses : 0
% 0.24/0.37 % Propositional clauses after purity: 0
% 0.24/0.37 % Propositional unsat core size : 0
% 0.24/0.37 % Propositional preprocessing time : 0.000
% 0.24/0.37 % Propositional encoding time : 0.000
% 0.24/0.37 % Propositional solver time : 0.000
% 0.24/0.37 % Success case prop preproc time : 0.000
% 0.24/0.37 % Success case prop encoding time : 0.000
% 0.24/0.37 % Success case prop solver time : 0.000
% 0.24/0.37 % Current number of processed clauses : 92
% 0.24/0.37 % Positive orientable unit clauses : 1
% 0.24/0.37 % Positive unorientable unit clauses: 0
% 0.24/0.37 % Negative unit clauses : 9
% 0.24/0.37 % Non-unit-clauses : 82
% 0.24/0.37 % Current number of unprocessed clauses: 205
% 0.24/0.37 % ...number of literals in the above : 621
% 0.24/0.37 % Current number of archived formulas : 0
% 0.24/0.37 % Current number of archived clauses : 71
% 0.24/0.37 % Clause-clause subsumption calls (NU) : 4214
% 0.24/0.37 % Rec. Clause-clause subsumption calls : 2599
% 0.24/0.37 % Non-unit clause-clause subsumptions : 19
% 0.24/0.37 % Unit Clause-clause subsumption calls : 15
% 0.24/0.37 % Rewrite failures with RHS unbound : 0
% 0.24/0.37 % BW rewrite match attempts : 0
% 0.24/0.37 % BW rewrite match successes : 0
% 0.24/0.37 % Condensation attempts : 0
% 0.24/0.37 % Condensation successes : 0
% 0.24/0.37 % Termbank termtop insertions : 25514
% 0.24/0.37 % Search garbage collected termcells : 1065
% 0.24/0.37
% 0.24/0.37 % -------------------------------------------------
% 0.24/0.37 % User time : 0.162 s
% 0.24/0.37 % System time : 0.027 s
% 0.24/0.37 % Total time : 0.189 s
% 0.24/0.37 % Maximum resident set size: 3900 pages
% 0.24/0.37
% 0.24/0.37 % -------------------------------------------------
% 0.24/0.37 % User time : 0.170 s
% 0.24/0.37 % System time : 0.032 s
% 0.24/0.37 % Total time : 0.201 s
% 0.24/0.37 % Maximum resident set size: 4864 pages
% 0.24/0.37 % E exiting
%------------------------------------------------------------------------------