%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRA032^2 : 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 07:49:52 AM UTC 2026
% Result : Theorem 0.67s 0.44s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA032^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n005.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 18:39:46 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 Running higher-order theorem proving
% 0.24/0.30 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.J1twSHfXeF/E---3.1_2052070.p
% 0.67/0.44 % Version: 3.5.1-ho
% 0.67/0.44 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.67/0.44 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.44 % Starting full_lambda_6 with 900s (3) cores
% 0.67/0.44 % Starting post_as_ho1 with 300s (1) cores
% 0.67/0.44 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.67/0.44 % Starting ho_unfolding_1 with 300s (1) cores
% 0.67/0.44 % Starting new_ho_10_unif with 300s (1) cores
% 0.67/0.44 % Starting ho_unfolding_2 with 300s (1) cores
% 0.67/0.44 % full_lambda_6 with pid 2052083 completed with status 0
% 0.67/0.44 % Result found by full_lambda_6
% 0.67/0.44 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.67/0.44 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.44 % Starting full_lambda_6 with 900s (3) cores
% 0.67/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.67/0.44 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.67/0.44 % Search class: HGHNF-FFMF00-SHHFFMBN
% 0.67/0.44 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.67/0.44 % Starting SubtermCWHack with 82s (1) cores
% 0.67/0.44 % Starting full_lambda_6 with 91s (1) cores
% 0.67/0.44 % Starting sh3 with 163s (1) cores
% 0.67/0.44 % SubtermCWHack with pid 2052089 completed with status 10
% 0.67/0.44 % Starting ho_unfolding_3 with 163s (1) cores
% 0.67/0.44 % sh3 with pid 2052091 completed with status 10
% 0.67/0.44 % Starting new_ho_10_cnf2 with 163s (1) cores
% 0.67/0.44 % full_lambda_6 with pid 2052090 completed with status 10
% 0.67/0.44 % Starting pre_casc_2 with 163s (1) cores
% 0.67/0.44 % ho_unfolding_3 with pid 2052098 completed with status 10
% 0.67/0.44 % Starting new_ho_10 with 75s (1) cores
% 0.67/0.44 % new_ho_10_cnf2 with pid 2052104 completed with status 10
% 0.67/0.44 % new_ho_10 with pid 2052107 completed with status 10
% 0.67/0.44 % pre_casc_2 with pid 2052106 completed with status 10
% 0.67/0.44 % Schedule exhausted
% 0.67/0.44
% 0.67/0.44 % -------------------------------------------------
% 0.67/0.44 % User time : 0.132 s
% 0.67/0.44 % System time : 0.021 s
% 0.67/0.44 % Total time : 0.153 s
% 0.67/0.44 % Maximum resident set size: 4172 pages
% 0.67/0.44 % executing default schedule for 899.847 seconds.
% 0.67/0.44 % Scheduled 7 strats onto 3 cores with 899 seconds (887 total)
% 0.67/0.44 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 129s (1) cores
% 0.67/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 129s (1) cores
% 0.67/0.44 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 129s (1) cores
% 0.67/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2052113 completed with status 10
% 0.67/0.44 % Starting lpo1_def_fix with 129s (1) cores
% 0.67/0.44 % G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 2052114 completed with status 10
% 0.67/0.44 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 129s (1) cores
% 0.67/0.44 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2052112 completed with status 10
% 0.67/0.44 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 129s (1) cores
% 0.67/0.44 % H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 2052120 completed with status 10
% 0.67/0.44 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 113s (1) cores
% 0.67/0.44 % G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 2052119 completed with status 10
% 0.67/0.44 % G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 2052122 completed with status 10
% 0.67/0.44 % lpo1_def_fix with pid 2052117 completed with status 0
% 0.67/0.44 % Result found by lpo1_def_fix
% 0.67/0.44 % Preprocessing class: HSMSSMSSSSSNHHA.
% 0.67/0.44 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.44 % Starting full_lambda_6 with 900s (3) cores
% 0.67/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.67/0.44 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.67/0.44 % Search class: HGHNF-FFMF00-SHHFFMBN
% 0.67/0.44 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.67/0.44 % Starting SubtermCWHack with 82s (1) cores
% 0.67/0.44 % Starting full_lambda_6 with 91s (1) cores
% 0.67/0.44 % Starting sh3 with 163s (1) cores
% 0.67/0.44 % SubtermCWHack with pid 2052089 completed with status 10
% 0.67/0.44 % Starting ho_unfolding_3 with 163s (1) cores
% 0.67/0.44 % sh3 with pid 2052091 completed with status 10
% 0.67/0.44 % Starting new_ho_10_cnf2 with 163s (1) cores
% 0.67/0.44 % full_lambda_6 with pid 2052090 completed with status 10
% 0.67/0.44 % Starting pre_casc_2 with 163s (1) cores
% 0.67/0.44 % ho_unfolding_3 with pid 2052098 completed with status 10
% 0.67/0.44 % Starting new_ho_10 with 75s (1) cores
% 0.67/0.44 % new_ho_10_cnf2 with pid 2052104 completed with status 10
% 0.67/0.44 % new_ho_10 with pid 2052107 completed with status 10
% 0.67/0.44 % pre_casc_2 with pid 2052106 completed with status 10
% 0.67/0.44 % Schedule exhausted
% 0.67/0.44
% 0.67/0.44 % -------------------------------------------------
% 0.67/0.44 % User time : 0.132 s
% 0.67/0.44 % System time : 0.021 s
% 0.67/0.44 % Total time : 0.153 s
% 0.67/0.44 % Maximum resident set size: 4172 pages
% 0.67/0.44 % executing default schedule for 899.847 seconds.
% 0.67/0.44 % Scheduled 7 strats onto 3 cores with 899 seconds (887 total)
% 0.67/0.44 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 129s (1) cores
% 0.67/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 129s (1) cores
% 0.67/0.44 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 129s (1) cores
% 0.67/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2052113 completed with status 10
% 0.67/0.44 % Starting lpo1_def_fix with 129s (1) cores
% 0.67/0.44 % Preprocessing time : 0.003 s
% 0.67/0.44 % Presaturation interreduction done
% 0.67/0.44
% 0.67/0.44 % Proof found!
% 0.67/0.44 % SZS status Theorem
% 0.67/0.44 % SZS output start CNFRefutation
% 0.67/0.44 thf(decl_23, type, epred1_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > $o).
% 0.67/0.44 thf(decl_24, type, epred2_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_25, type, epred3_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_26, type, epred4_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_27, type, epred5_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_28, type, epred6_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_29, type, epred7_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.67/0.44 thf(decl_30, type, epred8_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.67/0.44 thf(decl_31, type, epred9_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_32, type, epred10_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_33, type, epred11_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_34, type, epred12_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_35, type, epred13_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_36, type, epred14_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > ($o > $o) > $o).
% 0.67/0.44 thf(decl_37, type, epred15_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.67/0.44 thf(decl_38, type, epred16_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.67/0.44 thf(decl_39, type, epred17_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.67/0.44 thf(decl_40, type, epred18_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.67/0.44 thf(decl_41, type, epred19_1: ((($o > $o) > $o) > (($o > $o) > $o) > $o) > (($o > $o) > $o) > $o).
% 0.67/0.44 thf(decl_96, type, esk74_1: $o > $o).
% 0.67/0.44 thf(ramsey_l_3_6_16a, conjecture, ?[X1:(($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) > $o, X8:(($o > $o) > $o) > $o]:((((((((X7 @ X4)&~((X7 @ X5)))&~((X7 @ X6)))&~((X8 @ X4)))&(X8 @ X5))&~((X8 @ X6)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))))))&![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X9:($o > $o) > $o, X10:($o > $o) > $o, X11:($o > $o) > $o, X7:(($o > $o) > $o) > $o, X8:(($o > $o) > $o) > $o, X12:(($o > $o) > $o) > $o, X13:(($o > $o) > $o) > $o, X14:(($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((X7 @ X4)&~((X7 @ X5)))&~((X7 @ X6)))&~((X7 @ X9)))&~((X7 @ X10)))&~((X7 @ X11)))&~((X8 @ X4)))&(X8 @ X5))&~((X8 @ X6)))&~((X8 @ X9)))&~((X8 @ X10)))&~((X8 @ X11)))&~((X12 @ X4)))&~((X12 @ X5)))&(X12 @ X6))&~((X12 @ X9)))&~((X12 @ X10)))&~((X12 @ X11)))&~((X13 @ X4)))&~((X13 @ X5)))&~((X13 @ X6)))&(X13 @ X9))&~((X13 @ X10)))&~((X13 @ X11)))&~((X14 @ X4)))&~((X14 @ X5)))&~((X14 @ X6)))&~((X14 @ X9)))&(X14 @ X10))&~((X14 @ X11)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X9 @ X4)|(X1 @ X9 @ X5)|(X1 @ X9 @ X6)|(X1 @ X10 @ X4)|(X1 @ X10 @ X5)|(X1 @ X10 @ X6)|(X1 @ X10 @ X9)|(X1 @ X11 @ X4)|(X1 @ X11 @ X5)|(X1 @ X11 @ X6)|(X1 @ X11 @ X9)|(X1 @ X11 @ X10)))))), file('/export/starexec/sandbox2/tmp/tmp.J1twSHfXeF/E---3.1_2052070.p', ramsey_l_3_6_16a)).
% 0.67/0.44 thf(c_0_1, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred1_1 @ X1)<=>![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X9:($o > $o) > $o, X10:($o > $o) > $o, X11:($o > $o) > $o, X7:(($o > $o) > $o) > $o, X8:(($o > $o) > $o) > $o, X12:(($o > $o) > $o) > $o, X13:(($o > $o) > $o) > $o, X14:(($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((X7 @ X4)&~((X7 @ X5)))&~((X7 @ X6)))&~((X7 @ X9)))&~((X7 @ X10)))&~((X7 @ X11)))&~((X8 @ X4)))&(X8 @ X5))&~((X8 @ X6)))&~((X8 @ X9)))&~((X8 @ X10)))&~((X8 @ X11)))&~((X12 @ X4)))&~((X12 @ X5)))&(X12 @ X6))&~((X12 @ X9)))&~((X12 @ X10)))&~((X12 @ X11)))&~((X13 @ X4)))&~((X13 @ X5)))&~((X13 @ X6)))&(X13 @ X9))&~((X13 @ X10)))&~((X13 @ X11)))&~((X14 @ X4)))&~((X14 @ X5)))&~((X14 @ X6)))&~((X14 @ X9)))&(X14 @ X10))&~((X14 @ X11)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X9 @ X4)|(X1 @ X9 @ X5)|(X1 @ X9 @ X6)|(X1 @ X10 @ X4)|(X1 @ X10 @ X5)|(X1 @ X10 @ X6)|(X1 @ X10 @ X9)|(X1 @ X11 @ X4)|(X1 @ X11 @ X5)|(X1 @ X11 @ X6)|(X1 @ X11 @ X9)|(X1 @ X11 @ X10)))))), introduced(definition)).
% 0.67/0.44 thf(c_0_2, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:((![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X9:($o > $o) > $o, X10:($o > $o) > $o, X11:($o > $o) > $o, X7:(($o > $o) > $o) > $o, X8:(($o > $o) > $o) > $o, X12:(($o > $o) > $o) > $o, X13:(($o > $o) > $o) > $o, X14:(($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((X7 @ X4)&~((X7 @ X5)))&~((X7 @ X6)))&~((X7 @ X9)))&~((X7 @ X10)))&~((X7 @ X11)))&~((X8 @ X4)))&(X8 @ X5))&~((X8 @ X6)))&~((X8 @ X9)))&~((X8 @ X10)))&~((X8 @ X11)))&~((X12 @ X4)))&~((X12 @ X5)))&(X12 @ X6))&~((X12 @ X9)))&~((X12 @ X10)))&~((X12 @ X11)))&~((X13 @ X4)))&~((X13 @ X5)))&~((X13 @ X6)))&(X13 @ X9))&~((X13 @ X10)))&~((X13 @ X11)))&~((X14 @ X4)))&~((X14 @ X5)))&~((X14 @ X6)))&~((X14 @ X9)))&(X14 @ X10))&~((X14 @ X11)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X9 @ X4)|(X1 @ X9 @ X5)|(X1 @ X9 @ X6)|(X1 @ X10 @ X4)|(X1 @ X10 @ X5)|(X1 @ X10 @ X6)|(X1 @ X10 @ X9)|(X1 @ X11 @ X4)|(X1 @ X11 @ X5)|(X1 @ X11 @ X6)|(X1 @ X11 @ X9)|(X1 @ X11 @ X10))))=>(epred1_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_1])).
% 0.67/0.44 thf(c_0_3, negated_conjecture, ~(?[X1:(($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) > $o, X8:(($o > $o) > $o) > $o]:((((((((X7 @ X4)&~((X7 @ X5)))&~((X7 @ X6)))&~((X8 @ X4)))&(X8 @ X5))&~((X8 @ X6)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))))))&![X4:($o > $o) > $o, X5:($o > $o) > $o, X6:($o > $o) > $o, X9:($o > $o) > $o, X10:($o > $o) > $o, X11:($o > $o) > $o, X7:(($o > $o) > $o) > $o, X8:(($o > $o) > $o) > $o, X12:(($o > $o) > $o) > $o, X13:(($o > $o) > $o) > $o, X14:(($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((X7 @ X4)&~((X7 @ X5)))&~((X7 @ X6)))&~((X7 @ X9)))&~((X7 @ X10)))&~((X7 @ X11)))&~((X8 @ X4)))&(X8 @ X5))&~((X8 @ X6)))&~((X8 @ X9)))&~((X8 @ X10)))&~((X8 @ X11)))&~((X12 @ X4)))&~((X12 @ X5)))&(X12 @ X6))&~((X12 @ X9)))&~((X12 @ X10)))&~((X12 @ X11)))&~((X13 @ X4)))&~((X13 @ X5)))&~((X13 @ X6)))&(X13 @ X9))&~((X13 @ X10)))&~((X13 @ X11)))&~((X14 @ X4)))&~((X14 @ X5)))&~((X14 @ X6)))&~((X14 @ X9)))&(X14 @ X10))&~((X14 @ X11)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X9 @ X4)|(X1 @ X9 @ X5)|(X1 @ X9 @ X6)|(X1 @ X10 @ X4)|(X1 @ X10 @ X5)|(X1 @ X10 @ X6)|(X1 @ X10 @ X9)|(X1 @ X11 @ X4)|(X1 @ X11 @ X5)|(X1 @ X11 @ X6)|(X1 @ X11 @ X9)|(X1 @ X11 @ X10))))))), inference(assume_negation,[status(cth)],[ramsey_l_3_6_16a])).
% 0.67/0.44 thf(c_0_4, plain, ![X42:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((epred15_1 @ X42 @ (epred9_1 @ X42))|(epred1_1 @ X42))&(~(epred15_1 @ X42 @ (epred10_1 @ X42))|(epred1_1 @ X42)))&(~(epred15_1 @ X42 @ (epred11_1 @ X42))|(epred1_1 @ X42)))&(~(epred15_1 @ X42 @ (epred12_1 @ X42))|(epred1_1 @ X42)))&(~(epred15_1 @ X42 @ (epred13_1 @ X42))|(epred1_1 @ X42)))&(~(epred15_1 @ X42 @ (epred14_1 @ X42))|(epred1_1 @ X42)))&(~(epred16_1 @ X42 @ (epred9_1 @ X42))|(epred1_1 @ X42)))&((epred16_1 @ X42 @ (epred10_1 @ X42))|(epred1_1 @ X42)))&(~(epred16_1 @ X42 @ (epred11_1 @ X42))|(epred1_1 @ X42)))&(~(epred16_1 @ X42 @ (epred12_1 @ X42))|(epred1_1 @ X42)))&(~(epred16_1 @ X42 @ (epred13_1 @ X42))|(epred1_1 @ X42)))&(~(epred16_1 @ X42 @ (epred14_1 @ X42))|(epred1_1 @ X42)))&(~(epred17_1 @ X42 @ (epred9_1 @ X42))|(epred1_1 @ X42)))&(~(epred17_1 @ X42 @ (epred10_1 @ X42))|(epred1_1 @ X42)))&((epred17_1 @ X42 @ (epred11_1 @ X42))|(epred1_1 @ X42)))&(~(epred17_1 @ X42 @ (epred12_1 @ X42))|(epred1_1 @ X42)))&(~(epred17_1 @ X42 @ (epred13_1 @ X42))|(epred1_1 @ X42)))&(~(epred17_1 @ X42 @ (epred14_1 @ X42))|(epred1_1 @ X42)))&(~(epred18_1 @ X42 @ (epred9_1 @ X42))|(epred1_1 @ X42)))&(~(epred18_1 @ X42 @ (epred10_1 @ X42))|(epred1_1 @ X42)))&(~(epred18_1 @ X42 @ (epred11_1 @ X42))|(epred1_1 @ X42)))&((epred18_1 @ X42 @ (epred12_1 @ X42))|(epred1_1 @ X42)))&(~(epred18_1 @ X42 @ (epred13_1 @ X42))|(epred1_1 @ X42)))&(~(epred18_1 @ X42 @ (epred14_1 @ X42))|(epred1_1 @ X42)))&(~(epred19_1 @ X42 @ (epred9_1 @ X42))|(epred1_1 @ X42)))&(~(epred19_1 @ X42 @ (epred10_1 @ X42))|(epred1_1 @ X42)))&(~(epred19_1 @ X42 @ (epred11_1 @ X42))|(epred1_1 @ X42)))&(~(epred19_1 @ X42 @ (epred12_1 @ X42))|(epred1_1 @ X42)))&((epred19_1 @ X42 @ (epred13_1 @ X42))|(epred1_1 @ X42)))&(~(epred19_1 @ X42 @ (epred14_1 @ X42))|(epred1_1 @ X42)))&(((((((((((((((~(X42 @ (epred10_1 @ X42) @ (epred9_1 @ X42))|(epred1_1 @ X42))&(~(X42 @ (epred11_1 @ X42) @ (epred9_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred11_1 @ X42) @ (epred10_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred12_1 @ X42) @ (epred9_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred12_1 @ X42) @ (epred10_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred12_1 @ X42) @ (epred11_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred13_1 @ X42) @ (epred9_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred13_1 @ X42) @ (epred10_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred13_1 @ X42) @ (epred11_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred13_1 @ X42) @ (epred12_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred14_1 @ X42) @ (epred9_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred14_1 @ X42) @ (epred10_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred14_1 @ X42) @ (epred11_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred14_1 @ X42) @ (epred12_1 @ X42))|(epred1_1 @ X42)))&(~(X42 @ (epred14_1 @ X42) @ (epred13_1 @ X42))|(epred1_1 @ X42))))), 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_2])])])])])).
% 0.67/0.44 thf(c_0_5, 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) > $o, X8:(($o > $o) > $o) > $o]:((((((((X7 @ X4)&~((X7 @ X5)))&~((X7 @ X6)))&~((X8 @ X4)))&(X8 @ X5))&~((X8 @ X6)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))))))&(epred1_1 @ X1)))), inference(apply_def,[status(thm)],[c_0_3, c_0_1])).
% 0.67/0.44 thf(c_0_6, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred1_1 @ X1)|~((epred15_1 @ X1 @ (epred10_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.67/0.44 thf(c_0_7, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred15_1 @ X1 @ (epred9_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.67/0.44 thf(c_0_8, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred1_1 @ X1)|~((X1 @ (epred10_1 @ X1) @ (epred9_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.67/0.44 thf(c_0_9, negated_conjecture, ![X34:(($o > $o) > $o) > (($o > $o) > $o) > $o]:((((((((((epred7_1 @ X34 @ (epred4_1 @ X34))|(X34 @ (epred2_1 @ X34) @ (epred3_1 @ X34))|~(epred1_1 @ X34))&(~(epred7_1 @ X34 @ (epred5_1 @ X34))|(X34 @ (epred2_1 @ X34) @ (epred3_1 @ X34))|~(epred1_1 @ X34)))&(~(epred7_1 @ X34 @ (epred6_1 @ X34))|(X34 @ (epred2_1 @ X34) @ (epred3_1 @ X34))|~(epred1_1 @ X34)))&(~(epred8_1 @ X34 @ (epred4_1 @ X34))|(X34 @ (epred2_1 @ X34) @ (epred3_1 @ X34))|~(epred1_1 @ X34)))&((epred8_1 @ X34 @ (epred5_1 @ X34))|(X34 @ (epred2_1 @ X34) @ (epred3_1 @ X34))|~(epred1_1 @ X34)))&(~(epred8_1 @ X34 @ (epred6_1 @ X34))|(X34 @ (epred2_1 @ X34) @ (epred3_1 @ X34))|~(epred1_1 @ X34)))&((((X34 @ (epred5_1 @ X34) @ (epred4_1 @ X34))|(X34 @ (epred2_1 @ X34) @ (epred3_1 @ X34))|~(epred1_1 @ X34))&((X34 @ (epred6_1 @ X34) @ (epred4_1 @ X34))|(X34 @ (epred2_1 @ X34) @ (epred3_1 @ X34))|~(epred1_1 @ X34)))&((X34 @ (epred6_1 @ X34) @ (epred5_1 @ X34))|(X34 @ (epred2_1 @ X34) @ (epred3_1 @ X34))|~(epred1_1 @ X34))))&((((((((epred7_1 @ X34 @ (epred4_1 @ X34))|~(X34 @ (epred3_1 @ X34) @ (epred2_1 @ X34))|~(epred1_1 @ X34))&(~(epred7_1 @ X34 @ (epred5_1 @ X34))|~(X34 @ (epred3_1 @ X34) @ (epred2_1 @ X34))|~(epred1_1 @ X34)))&(~(epred7_1 @ X34 @ (epred6_1 @ X34))|~(X34 @ (epred3_1 @ X34) @ (epred2_1 @ X34))|~(epred1_1 @ X34)))&(~(epred8_1 @ X34 @ (epred4_1 @ X34))|~(X34 @ (epred3_1 @ X34) @ (epred2_1 @ X34))|~(epred1_1 @ X34)))&((epred8_1 @ X34 @ (epred5_1 @ X34))|~(X34 @ (epred3_1 @ X34) @ (epred2_1 @ X34))|~(epred1_1 @ X34)))&(~(epred8_1 @ X34 @ (epred6_1 @ X34))|~(X34 @ (epred3_1 @ X34) @ (epred2_1 @ X34))|~(epred1_1 @ X34)))&((((X34 @ (epred5_1 @ X34) @ (epred4_1 @ X34))|~(X34 @ (epred3_1 @ X34) @ (epred2_1 @ X34))|~(epred1_1 @ X34))&((X34 @ (epred6_1 @ X34) @ (epred4_1 @ X34))|~(X34 @ (epred3_1 @ X34) @ (epred2_1 @ X34))|~(epred1_1 @ X34)))&((X34 @ (epred6_1 @ X34) @ (epred5_1 @ X34))|~(X34 @ (epred3_1 @ X34) @ (epred2_1 @ X34))|~(epred1_1 @ X34)))))), 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])])])])])])).
% 0.67/0.44 thf(c_0_10, plain, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred1_1 @ X1)|((epred10_1 @ X1)!=(epred9_1 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_6, c_0_7])])).
% 0.67/0.44 thf(c_0_11, plain, (((epred10_1 @ $neq)=(epred9_1 @ $neq))|(epred1_1 @ $neq)), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])).
% 0.67/0.44 thf(c_0_12, negated_conjecture, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:((~((epred8_1 @ X1 @ (epred4_1 @ X1)))|~((X1 @ (epred3_1 @ X1) @ (epred2_1 @ X1)))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.67/0.44 thf(c_0_13, plain, (epred1_1 @ $neq), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.67/0.44 thf(c_0_14, negated_conjecture, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((X1 @ (epred2_1 @ X1) @ (epred3_1 @ X1))|~((epred7_1 @ X1 @ (epred5_1 @ X1)))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.67/0.44 thf(c_0_15, negated_conjecture, (((epred3_1 @ $neq)=(epred2_1 @ $neq))|~((epred8_1 @ $neq @ (epred4_1 @ $neq)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_12]), c_0_13])])).
% 0.67/0.44 thf(c_0_16, negated_conjecture, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred8_1 @ X1 @ (epred5_1 @ X1))|~((X1 @ (epred3_1 @ X1) @ (epred2_1 @ X1)))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.67/0.44 thf(c_0_17, negated_conjecture, (((epred3_1 @ $neq)!=(epred2_1 @ $neq))|~((epred7_1 @ $neq @ (epred5_1 @ $neq)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_14]), c_0_13])])).
% 0.67/0.44 thf(c_0_18, negated_conjecture, ![X1:(($o > $o) > $o) > (($o > $o) > $o) > $o]:(((epred7_1 @ X1 @ (epred4_1 @ X1))|(X1 @ (epred2_1 @ X1) @ (epred3_1 @ X1))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.67/0.44 thf(c_0_19, plain, (((epred3_1 @ $neq)=(epred2_1 @ $neq))|((epred5_1 @ $neq)!=(epred4_1 @ $neq))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_15, c_0_16])])])]), c_0_13])])).
% 0.67/0.44 thf(c_0_20, plain, ((epred5_1 @ $neq)!=(epred4_1 @ $neq)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_17, c_0_18])])])]), c_0_13])]), c_0_19])).
% 0.67/0.44 thf(c_0_21, plain, ((epred5_1 @ $neq @ esk74_1)<~>(epred4_1 @ $neq @ esk74_1)), inference(neg_ext,[status(thm)],[c_0_20])).
% 0.67/0.44 thf(c_0_22, plain, ($false), inference(dynamic_cnf,[status(thm)],[c_0_21]), ['proof']).
% 0.67/0.44 % SZS output end CNFRefutation
% 0.67/0.44 % Parsed axioms : 1
% 0.67/0.44 % Removed by relevancy pruning/SinE : 0
% 0.67/0.44 % Initial clauses : 63
% 0.67/0.44 % Removed in clause preprocessing : 0
% 0.67/0.44 % Initial clauses in saturation : 63
% 0.67/0.44 % Processed clauses : 225
% 0.67/0.44 % ...of these trivial : 8
% 0.67/0.44 % ...subsumed : 39
% 0.67/0.44 % ...remaining for further processing : 178
% 0.67/0.44 % Other redundant clauses eliminated : 59
% 0.67/0.44 % Clauses deleted for lack of memory : 0
% 0.67/0.44 % Backward-subsumed : 1
% 0.67/0.44 % Backward-rewritten : 1
% 0.67/0.44 % Generated clauses : 470
% 0.67/0.44 % ...of the previous two non-redundant : 361
% 0.67/0.44 % ...aggressively subsumed : 0
% 0.67/0.44 % Contextual simplify-reflections : 1
% 0.67/0.44 % Paramodulations : 12
% 0.67/0.44 % Factorizations : 0
% 0.67/0.44 % NegExts : 54
% 0.67/0.44 % Equation resolutions : 59
% 0.67/0.44 % Disequality decompositions : 0
% 0.67/0.44 % Total rewrite steps : 48
% 0.67/0.44 % ...of those cached : 44
% 0.67/0.44 % Propositional unsat checks : 0
% 0.67/0.44 % Propositional check models : 0
% 0.67/0.44 % Propositional check unsatisfiable : 0
% 0.67/0.44 % Propositional clauses : 0
% 0.67/0.44 % Propositional clauses after purity: 0
% 0.67/0.44 % Propositional unsat core size : 0
% 0.67/0.44 % Propositional preprocessing time : 0.000
% 0.67/0.44 % Propositional encoding time : 0.000
% 0.67/0.44 % Propositional solver time : 0.000
% 0.67/0.44 % Success case prop preproc time : 0.000
% 0.67/0.44 % Success case prop encoding time : 0.000
% 0.67/0.44 % Success case prop solver time : 0.000
% 0.67/0.44 % Current number of processed clauses : 108
% 0.67/0.44 % Positive orientable unit clauses : 5
% 0.67/0.44 % Positive unorientable unit clauses: 0
% 0.67/0.44 % Negative unit clauses : 2
% 0.67/0.44 % Non-unit-clauses : 101
% 0.67/0.44 % Current number of unprocessed clauses: 243
% 0.67/0.44 % ...number of literals in the above : 597
% 0.67/0.44 % Current number of archived formulas : 0
% 0.67/0.44 % Current number of archived clauses : 70
% 0.67/0.44 % Clause-clause subsumption calls (NU) : 1183
% 0.67/0.44 % Rec. Clause-clause subsumption calls : 949
% 0.67/0.44 % Non-unit clause-clause subsumptions : 23
% 0.67/0.44 % Unit Clause-clause subsumption calls : 191
% 0.67/0.44 % Rewrite failures with RHS unbound : 0
% 0.67/0.44 % BW rewrite match attempts : 1
% 0.67/0.44 % BW rewrite match successes : 1
% 0.67/0.44 % Condensation attempts : 0
% 0.67/0.44 % Condensation successes : 0
% 0.67/0.44 % Termbank termtop insertions : 31210
% 0.67/0.44 % Search garbage collected termcells : 1375
% 0.67/0.44
% 0.67/0.44 % -------------------------------------------------
% 0.67/0.44 % User time : 0.211 s
% 0.67/0.44 % System time : 0.041 s
% 0.67/0.44 % Total time : 0.252 s
% 0.67/0.44 % Maximum resident set size: 4172 pages
% 0.67/0.44
% 0.67/0.44 % -------------------------------------------------
% 0.67/0.44 % User time : 0.213 s
% 0.67/0.44 % System time : 0.046 s
% 0.67/0.44 % Total time : 0.259 s
% 0.67/0.44 % Maximum resident set size: 4864 pages
% 0.67/0.44 % E exiting
%------------------------------------------------------------------------------