0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.36 % Computer : n029.cluster.edu 0.12/0.36 % Model : x86_64 x86_64 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.36 % Memory : 8046.5625MB 0.12/0.36 % OS : Linux 6.8.0-71-generic 0.12/0.36 % CPULimit : 1440 0.12/0.36 % WCLimit : 180 0.12/0.36 % DateTime : Mon Jul 27 10:20:31 UTC 2026 0.12/0.37 % CPUTime : 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.41 Running higher-order theorem proving 0.12/0.43 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=180 /export/starexec/sandbox2/tmp/tmp.JX1EqcnlRF/E---3.1_2714798.p 440.98/75.38 % Version: 3.5.1-ho 440.98/75.38 % Preprocessing class: HSLSSMSSSSSNHHA. 440.98/75.38 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 440.98/75.38 % Starting new_ho_10 with 360s (2) cores 440.98/75.38 % Starting sh3 with 360s (2) cores 440.98/75.38 % Starting ho_unfolding_3 with 360s (2) cores 440.98/75.38 % Starting new_ho_10_cnf2 with 360s (2) cores 440.98/75.38 % new_ho_10 with pid 2714811 completed with status 0 440.98/75.38 % Result found by new_ho_10 440.98/75.38 % Preprocessing class: HSLSSMSSSSSNHHA. 440.98/75.38 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 440.98/75.38 % Starting new_ho_10 with 360s (2) cores 440.98/75.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 440.98/75.38 % No SInE strategy applied 440.98/75.38 % Search class: HGHNF-FFMF00-SHHFFSBN 440.98/75.38 % Scheduled 7 strats onto 2 cores with 360 seconds (360 total) 440.98/75.38 % Starting SubtermCWHack with 33s (1) cores 440.98/75.38 % Starting new_ho_10 with 37s (1) cores 440.98/75.38 % SubtermCWHack with pid 2714815 completed with status 10 440.98/75.38 % Starting new_bool_3 with 74s (1) cores 440.98/75.38 % new_ho_10 with pid 2714818 completed with status 10 440.98/75.38 % Starting new_bool_1 with 74s (1) cores 440.98/75.38 % new_bool_1 with pid 2714832 completed with status 8 440.98/75.38 % Starting sh2l with 73s (1) cores 440.98/75.38 % sh2l with pid 2716526 completed with status 0 440.98/75.38 % Result found by sh2l 440.98/75.38 % Preprocessing class: HSLSSMSSSSSNHHA. 440.98/75.38 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 440.98/75.38 % Starting new_ho_10 with 360s (2) cores 440.98/75.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 440.98/75.38 % No SInE strategy applied 440.98/75.38 % Search class: HGHNF-FFMF00-SHHFFSBN 440.98/75.38 % Scheduled 7 strats onto 2 cores with 360 seconds (360 total) 440.98/75.38 % Starting SubtermCWHack with 33s (1) cores 440.98/75.38 % Starting new_ho_10 with 37s (1) cores 440.98/75.38 % SubtermCWHack with pid 2714815 completed with status 10 440.98/75.38 % Starting new_bool_3 with 74s (1) cores 440.98/75.38 % new_ho_10 with pid 2714818 completed with status 10 440.98/75.38 % Starting new_bool_1 with 74s (1) cores 440.98/75.38 % new_bool_1 with pid 2714832 completed with status 8 440.98/75.38 % Starting sh2l with 73s (1) cores 440.98/75.38 % Preprocessing time : 0.003 s 440.98/75.38 % Presaturation interreduction done 440.98/75.38 440.98/75.38 % Proof found! 440.98/75.38 % SZS status Theorem 440.98/75.38 % SZS output start CNFRefutation 440.98/75.38 thf(decl_23, type, epred1_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o). 440.98/75.38 thf(decl_24, type, epred2_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o). 440.98/75.38 thf(decl_25, type, epred3_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_26, type, epred4_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_27, type, epred5_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_28, type, epred6_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_29, type, epred7_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_30, type, epred8_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_31, type, epred9_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_32, type, epred10_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_33, type, epred11_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_34, type, epred12_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_35, type, epred13_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_36, type, epred14_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_37, type, epred15_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_38, type, epred16_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_39, type, epred17_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_40, type, epred18_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_41, type, epred19_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_42, type, epred20_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_43, type, epred21_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_44, type, epred22_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_45, type, epred23_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_46, type, epred24_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 440.98/75.38 thf(decl_47, type, epred25_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_48, type, epred26_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_49, type, epred27_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_50, type, epred28_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_51, type, epred29_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_52, type, epred30_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_53, type, epred31_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_54, type, epred32_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 440.98/75.38 thf(decl_188, type, esk166_0: $o). 440.98/75.38 thf(decl_189, type, esk167_1: $o > $o). 440.98/75.38 thf(decl_191, type, epred169_0: $o). 440.98/75.38 thf(decl_192, type, epred170_0: $o). 440.98/75.38 thf(ramsey_l_6_9_256a, conjecture, ?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$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) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((X8 @ X2)&~((X8 @ X3)))&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X2)))&~((X9 @ X4)))&~((X9 @ X7)))&~((X10 @ X2)))&~((X10 @ X3)))&~((X11 @ X3)))&~((X11 @ X6)))&~((X11 @ X7)))&~((X12 @ X2)))&~((X12 @ X3)))&~((X12 @ X5)))&(X12 @ X6))&~((X12 @ X7)))&~((X12 @ X4)))&(X11 @ X5))&~((X11 @ X4)))&~((X11 @ X2)))&~((X10 @ X7)))&~((X10 @ X6)))&~((X10 @ X5)))&(X10 @ X4))&~((X9 @ X6)))&~((X9 @ X5)))&(X9 @ X3))&~((X8 @ X4)))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X2))|~((X1 @ X6 @ X2))|~((X1 @ X7 @ X3))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X6))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X2))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X3))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X3))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X3)))))&![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X8:($o > ($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) > $o, X16:($o > ($o > $o) > $o) > $o, X17:($o > ($o > $o) > $o) > $o, X18:($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~((X8 @ X6))&~((X8 @ X7)))&~((X9 @ X2)))&(X9 @ X3))&~((X9 @ X7)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X10 @ X2)))&~((X10 @ X7)))&~((X11 @ X4)))&(X11 @ X5))&~((X11 @ X6)))&~((X11 @ X14)))&~((X12 @ X3)))&~((X12 @ X5)))&~((X12 @ X15)))&~((X16 @ X3)))&~((X16 @ X5)))&~((X16 @ X13)))&~((X16 @ X14)))&~((X16 @ X15)))&~((X17 @ X4)))&~((X17 @ X5)))&~((X18 @ X2)))&~((X18 @ X3)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X13)))&~((X18 @ X15)))&(X18 @ X14))&~((X18 @ X7)))&~((X18 @ X6)))&~((X17 @ X15)))&~((X17 @ X14)))&(X17 @ X13))&~((X17 @ X7)))&~((X17 @ X6)))&~((X17 @ X3)))&~((X17 @ X2)))&(X16 @ X7))&~((X16 @ X6)))&~((X16 @ X4)))&~((X16 @ X2)))&~((X12 @ X14)))&~((X12 @ X13)))&~((X12 @ X7)))&(X12 @ X6))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X15)))&~((X11 @ X13)))&~((X11 @ X7)))&~((X11 @ X3)))&~((X11 @ X2)))&~((X10 @ X15)))&~((X10 @ X14)))&~((X10 @ X13)))&~((X10 @ X6)))&~((X10 @ X5)))&(X10 @ X4))&~((X10 @ X3)))&~((X9 @ X15)))&~((X9 @ X6)))&~((X9 @ X5)))&~((X9 @ X4)))&~((X8 @ X15)))&~((X8 @ X14)))&~((X8 @ X13)))&~((X8 @ X5)))&~((X8 @ X4)))&~((X8 @ X3)))&(X8 @ X2))=>((X1 @ X3 @ X2)|(X1 @ X4 @ X2)|(X1 @ X7 @ X2)|(X1 @ X7 @ X6)|(X1 @ X13 @ X2)|(X1 @ X13 @ X3)|(X1 @ X13 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X7)|(X1 @ X15 @ X2)|(X1 @ X15 @ X3)|(X1 @ X15 @ X7)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X15 @ X6)|(X1 @ X15 @ X5)|(X1 @ X15 @ X4)|(X1 @ X14 @ X13)|(X1 @ X14 @ X6)|(X1 @ X14 @ X4)|(X1 @ X14 @ X3)|(X1 @ X14 @ X2)|(X1 @ X13 @ X7)|(X1 @ X13 @ X6)|(X1 @ X13 @ X5)|(X1 @ X7 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X3)|(X1 @ X6 @ X5)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X4)|(X1 @ X5 @ X3)|(X1 @ X5 @ X2)|(X1 @ X4 @ X3)))))&![X19:$o > ($o > $o) > $o, X20:$o > ($o > $o) > $o]:(((X1 @ X20 @ X19)<=(X1 @ X19 @ X20))))), file('/export/starexec/sandbox2/tmp/tmp.JX1EqcnlRF/E---3.1_2714798.p', ramsey_l_6_9_256a)). 440.98/75.38 thf(c_0_1, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)<=>![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X8:($o > ($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) > $o, X16:($o > ($o > $o) > $o) > $o, X17:($o > ($o > $o) > $o) > $o, X18:($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~((X8 @ X6))&~((X8 @ X7)))&~((X9 @ X2)))&(X9 @ X3))&~((X9 @ X7)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X10 @ X2)))&~((X10 @ X7)))&~((X11 @ X4)))&(X11 @ X5))&~((X11 @ X6)))&~((X11 @ X14)))&~((X12 @ X3)))&~((X12 @ X5)))&~((X12 @ X15)))&~((X16 @ X3)))&~((X16 @ X5)))&~((X16 @ X13)))&~((X16 @ X14)))&~((X16 @ X15)))&~((X17 @ X4)))&~((X17 @ X5)))&~((X18 @ X2)))&~((X18 @ X3)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X13)))&~((X18 @ X15)))&(X18 @ X14))&~((X18 @ X7)))&~((X18 @ X6)))&~((X17 @ X15)))&~((X17 @ X14)))&(X17 @ X13))&~((X17 @ X7)))&~((X17 @ X6)))&~((X17 @ X3)))&~((X17 @ X2)))&(X16 @ X7))&~((X16 @ X6)))&~((X16 @ X4)))&~((X16 @ X2)))&~((X12 @ X14)))&~((X12 @ X13)))&~((X12 @ X7)))&(X12 @ X6))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X15)))&~((X11 @ X13)))&~((X11 @ X7)))&~((X11 @ X3)))&~((X11 @ X2)))&~((X10 @ X15)))&~((X10 @ X14)))&~((X10 @ X13)))&~((X10 @ X6)))&~((X10 @ X5)))&(X10 @ X4))&~((X10 @ X3)))&~((X9 @ X15)))&~((X9 @ X6)))&~((X9 @ X5)))&~((X9 @ X4)))&~((X8 @ X15)))&~((X8 @ X14)))&~((X8 @ X13)))&~((X8 @ X5)))&~((X8 @ X4)))&~((X8 @ X3)))&(X8 @ X2))=>((X1 @ X3 @ X2)|(X1 @ X4 @ X2)|(X1 @ X7 @ X2)|(X1 @ X7 @ X6)|(X1 @ X13 @ X2)|(X1 @ X13 @ X3)|(X1 @ X13 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X7)|(X1 @ X15 @ X2)|(X1 @ X15 @ X3)|(X1 @ X15 @ X7)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X15 @ X6)|(X1 @ X15 @ X5)|(X1 @ X15 @ X4)|(X1 @ X14 @ X13)|(X1 @ X14 @ X6)|(X1 @ X14 @ X4)|(X1 @ X14 @ X3)|(X1 @ X14 @ X2)|(X1 @ X13 @ X7)|(X1 @ X13 @ X6)|(X1 @ X13 @ X5)|(X1 @ X7 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X3)|(X1 @ X6 @ X5)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X4)|(X1 @ X5 @ X3)|(X1 @ X5 @ X2)|(X1 @ X4 @ X3)))))), introduced(definition)). 440.98/75.38 thf(c_0_2, negated_conjecture, ~(?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((X8 @ X2)&~((X8 @ X3)))&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X2)))&~((X9 @ X4)))&~((X9 @ X7)))&~((X10 @ X2)))&~((X10 @ X3)))&~((X11 @ X3)))&~((X11 @ X6)))&~((X11 @ X7)))&~((X12 @ X2)))&~((X12 @ X3)))&~((X12 @ X5)))&(X12 @ X6))&~((X12 @ X7)))&~((X12 @ X4)))&(X11 @ X5))&~((X11 @ X4)))&~((X11 @ X2)))&~((X10 @ X7)))&~((X10 @ X6)))&~((X10 @ X5)))&(X10 @ X4))&~((X9 @ X6)))&~((X9 @ X5)))&(X9 @ X3))&~((X8 @ X4)))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X2))|~((X1 @ X6 @ X2))|~((X1 @ X7 @ X3))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X6))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X2))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X3))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X3))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X3)))))&![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X8:($o > ($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) > $o, X16:($o > ($o > $o) > $o) > $o, X17:($o > ($o > $o) > $o) > $o, X18:($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~((X8 @ X6))&~((X8 @ X7)))&~((X9 @ X2)))&(X9 @ X3))&~((X9 @ X7)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X10 @ X2)))&~((X10 @ X7)))&~((X11 @ X4)))&(X11 @ X5))&~((X11 @ X6)))&~((X11 @ X14)))&~((X12 @ X3)))&~((X12 @ X5)))&~((X12 @ X15)))&~((X16 @ X3)))&~((X16 @ X5)))&~((X16 @ X13)))&~((X16 @ X14)))&~((X16 @ X15)))&~((X17 @ X4)))&~((X17 @ X5)))&~((X18 @ X2)))&~((X18 @ X3)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X13)))&~((X18 @ X15)))&(X18 @ X14))&~((X18 @ X7)))&~((X18 @ X6)))&~((X17 @ X15)))&~((X17 @ X14)))&(X17 @ X13))&~((X17 @ X7)))&~((X17 @ X6)))&~((X17 @ X3)))&~((X17 @ X2)))&(X16 @ X7))&~((X16 @ X6)))&~((X16 @ X4)))&~((X16 @ X2)))&~((X12 @ X14)))&~((X12 @ X13)))&~((X12 @ X7)))&(X12 @ X6))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X15)))&~((X11 @ X13)))&~((X11 @ X7)))&~((X11 @ X3)))&~((X11 @ X2)))&~((X10 @ X15)))&~((X10 @ X14)))&~((X10 @ X13)))&~((X10 @ X6)))&~((X10 @ X5)))&(X10 @ X4))&~((X10 @ X3)))&~((X9 @ X15)))&~((X9 @ X6)))&~((X9 @ X5)))&~((X9 @ X4)))&~((X8 @ X15)))&~((X8 @ X14)))&~((X8 @ X13)))&~((X8 @ X5)))&~((X8 @ X4)))&~((X8 @ X3)))&(X8 @ X2))=>((X1 @ X3 @ X2)|(X1 @ X4 @ X2)|(X1 @ X7 @ X2)|(X1 @ X7 @ X6)|(X1 @ X13 @ X2)|(X1 @ X13 @ X3)|(X1 @ X13 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X7)|(X1 @ X15 @ X2)|(X1 @ X15 @ X3)|(X1 @ X15 @ X7)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X15 @ X6)|(X1 @ X15 @ X5)|(X1 @ X15 @ X4)|(X1 @ X14 @ X13)|(X1 @ X14 @ X6)|(X1 @ X14 @ X4)|(X1 @ X14 @ X3)|(X1 @ X14 @ X2)|(X1 @ X13 @ X7)|(X1 @ X13 @ X6)|(X1 @ X13 @ X5)|(X1 @ X7 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X3)|(X1 @ X6 @ X5)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X4)|(X1 @ X5 @ X3)|(X1 @ X5 @ X2)|(X1 @ X4 @ X3)))))&![X19:$o > ($o > $o) > $o, X20:$o > ($o > $o) > $o]:(((X1 @ X20 @ X19)<=(X1 @ X19 @ X20)))))), inference(assume_negation,[status(cth)],[ramsey_l_6_9_256a])). 440.98/75.38 thf(c_0_3, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred1_1 @ X1)<=>![X2:$o > ($o > $o) > $o, X3:$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) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((X8 @ X2)&~((X8 @ X3)))&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X2)))&~((X9 @ X4)))&~((X9 @ X7)))&~((X10 @ X2)))&~((X10 @ X3)))&~((X11 @ X3)))&~((X11 @ X6)))&~((X11 @ X7)))&~((X12 @ X2)))&~((X12 @ X3)))&~((X12 @ X5)))&(X12 @ X6))&~((X12 @ X7)))&~((X12 @ X4)))&(X11 @ X5))&~((X11 @ X4)))&~((X11 @ X2)))&~((X10 @ X7)))&~((X10 @ X6)))&~((X10 @ X5)))&(X10 @ X4))&~((X9 @ X6)))&~((X9 @ X5)))&(X9 @ X3))&~((X8 @ X4)))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X2))|~((X1 @ X6 @ X2))|~((X1 @ X7 @ X3))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X6))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X2))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X3))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X3))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X3))))))), introduced(definition)). 440.98/75.38 thf(c_0_4, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X8:($o > ($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) > $o, X16:($o > ($o > $o) > $o) > $o, X17:($o > ($o > $o) > $o) > $o, X18:($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~((X8 @ X6))&~((X8 @ X7)))&~((X9 @ X2)))&(X9 @ X3))&~((X9 @ X7)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X10 @ X2)))&~((X10 @ X7)))&~((X11 @ X4)))&(X11 @ X5))&~((X11 @ X6)))&~((X11 @ X14)))&~((X12 @ X3)))&~((X12 @ X5)))&~((X12 @ X15)))&~((X16 @ X3)))&~((X16 @ X5)))&~((X16 @ X13)))&~((X16 @ X14)))&~((X16 @ X15)))&~((X17 @ X4)))&~((X17 @ X5)))&~((X18 @ X2)))&~((X18 @ X3)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X13)))&~((X18 @ X15)))&(X18 @ X14))&~((X18 @ X7)))&~((X18 @ X6)))&~((X17 @ X15)))&~((X17 @ X14)))&(X17 @ X13))&~((X17 @ X7)))&~((X17 @ X6)))&~((X17 @ X3)))&~((X17 @ X2)))&(X16 @ X7))&~((X16 @ X6)))&~((X16 @ X4)))&~((X16 @ X2)))&~((X12 @ X14)))&~((X12 @ X13)))&~((X12 @ X7)))&(X12 @ X6))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X15)))&~((X11 @ X13)))&~((X11 @ X7)))&~((X11 @ X3)))&~((X11 @ X2)))&~((X10 @ X15)))&~((X10 @ X14)))&~((X10 @ X13)))&~((X10 @ X6)))&~((X10 @ X5)))&(X10 @ X4))&~((X10 @ X3)))&~((X9 @ X15)))&~((X9 @ X6)))&~((X9 @ X5)))&~((X9 @ X4)))&~((X8 @ X15)))&~((X8 @ X14)))&~((X8 @ X13)))&~((X8 @ X5)))&~((X8 @ X4)))&~((X8 @ X3)))&(X8 @ X2))=>((X1 @ X3 @ X2)|(X1 @ X4 @ X2)|(X1 @ X7 @ X2)|(X1 @ X7 @ X6)|(X1 @ X13 @ X2)|(X1 @ X13 @ X3)|(X1 @ X13 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X7)|(X1 @ X15 @ X2)|(X1 @ X15 @ X3)|(X1 @ X15 @ X7)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X15 @ X6)|(X1 @ X15 @ X5)|(X1 @ X15 @ X4)|(X1 @ X14 @ X13)|(X1 @ X14 @ X6)|(X1 @ X14 @ X4)|(X1 @ X14 @ X3)|(X1 @ X14 @ X2)|(X1 @ X13 @ X7)|(X1 @ X13 @ X6)|(X1 @ X13 @ X5)|(X1 @ X7 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X3)|(X1 @ X6 @ X5)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X4)|(X1 @ X5 @ X3)|(X1 @ X5 @ X2)|(X1 @ X4 @ X3))))=>(epred2_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_1])). 440.98/75.38 thf(c_0_5, negated_conjecture, ~(?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((((epred1_1 @ X1)&(epred2_1 @ X1))&![X19:$o > ($o > $o) > $o, X20:$o > ($o > $o) > $o]:(((X1 @ X19 @ X20)=>(X1 @ X20 @ X19)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]), c_0_3]), c_0_1])). 440.98/75.38 thf(c_0_6, plain, ![X67:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(epred25_1 @ X67 @ (epred20_1 @ X67))|(epred2_1 @ X67))&(~(epred25_1 @ X67 @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(epred26_1 @ X67 @ (epred16_1 @ X67))|(epred2_1 @ X67)))&((epred26_1 @ X67 @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(epred26_1 @ X67 @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(epred26_1 @ X67 @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(epred26_1 @ X67 @ (epred23_1 @ X67))|(epred2_1 @ X67)))&(~(epred27_1 @ X67 @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(epred27_1 @ X67 @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(epred28_1 @ X67 @ (epred18_1 @ X67))|(epred2_1 @ X67)))&((epred28_1 @ X67 @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(epred28_1 @ X67 @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(epred28_1 @ X67 @ (epred23_1 @ X67))|(epred2_1 @ X67)))&(~(epred29_1 @ X67 @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(epred29_1 @ X67 @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(epred29_1 @ X67 @ (epred24_1 @ X67))|(epred2_1 @ X67)))&(~(epred30_1 @ X67 @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(epred30_1 @ X67 @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(epred30_1 @ X67 @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(epred30_1 @ X67 @ (epred23_1 @ X67))|(epred2_1 @ X67)))&(~(epred30_1 @ X67 @ (epred24_1 @ X67))|(epred2_1 @ X67)))&(~(epred31_1 @ X67 @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(epred31_1 @ X67 @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(epred32_1 @ X67 @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(epred32_1 @ X67 @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(epred32_1 @ X67 @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(epred32_1 @ X67 @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(epred32_1 @ X67 @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(epred32_1 @ X67 @ (epred24_1 @ X67))|(epred2_1 @ X67)))&((epred32_1 @ X67 @ (epred23_1 @ X67))|(epred2_1 @ X67)))&(~(epred32_1 @ X67 @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(epred32_1 @ X67 @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(epred31_1 @ X67 @ (epred24_1 @ X67))|(epred2_1 @ X67)))&(~(epred31_1 @ X67 @ (epred23_1 @ X67))|(epred2_1 @ X67)))&((epred31_1 @ X67 @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(epred31_1 @ X67 @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(epred31_1 @ X67 @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(epred31_1 @ X67 @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(epred31_1 @ X67 @ (epred16_1 @ X67))|(epred2_1 @ X67)))&((epred30_1 @ X67 @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(epred30_1 @ X67 @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(epred30_1 @ X67 @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(epred30_1 @ X67 @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(epred29_1 @ X67 @ (epred23_1 @ X67))|(epred2_1 @ X67)))&(~(epred29_1 @ X67 @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(epred29_1 @ X67 @ (epred21_1 @ X67))|(epred2_1 @ X67)))&((epred29_1 @ X67 @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(epred29_1 @ X67 @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(epred29_1 @ X67 @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(epred28_1 @ X67 @ (epred24_1 @ X67))|(epred2_1 @ X67)))&(~(epred28_1 @ X67 @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(epred28_1 @ X67 @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(epred28_1 @ X67 @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(epred28_1 @ X67 @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(epred27_1 @ X67 @ (epred24_1 @ X67))|(epred2_1 @ X67)))&(~(epred27_1 @ X67 @ (epred23_1 @ X67))|(epred2_1 @ X67)))&(~(epred27_1 @ X67 @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(epred27_1 @ X67 @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(epred27_1 @ X67 @ (epred19_1 @ X67))|(epred2_1 @ X67)))&((epred27_1 @ X67 @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(epred27_1 @ X67 @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(epred26_1 @ X67 @ (epred24_1 @ X67))|(epred2_1 @ X67)))&(~(epred26_1 @ X67 @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(epred26_1 @ X67 @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(epred26_1 @ X67 @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(epred25_1 @ X67 @ (epred24_1 @ X67))|(epred2_1 @ X67)))&(~(epred25_1 @ X67 @ (epred23_1 @ X67))|(epred2_1 @ X67)))&(~(epred25_1 @ X67 @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(epred25_1 @ X67 @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(epred25_1 @ X67 @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(epred25_1 @ X67 @ (epred17_1 @ X67))|(epred2_1 @ X67)))&((epred25_1 @ X67 @ (epred16_1 @ X67))|(epred2_1 @ X67)))&((((((((((((((((((((((((((((((((((((~(X67 @ (epred17_1 @ X67) @ (epred16_1 @ X67))|(epred2_1 @ X67))&(~(X67 @ (epred18_1 @ X67) @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred21_1 @ X67) @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred21_1 @ X67) @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred22_1 @ X67) @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred22_1 @ X67) @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred22_1 @ X67) @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred23_1 @ X67) @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred23_1 @ X67) @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred24_1 @ X67) @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred24_1 @ X67) @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred24_1 @ X67) @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred24_1 @ X67) @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred24_1 @ X67) @ (epred23_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred24_1 @ X67) @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred24_1 @ X67) @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred24_1 @ X67) @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred23_1 @ X67) @ (epred22_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred23_1 @ X67) @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred23_1 @ X67) @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred23_1 @ X67) @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred23_1 @ X67) @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred22_1 @ X67) @ (epred21_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred22_1 @ X67) @ (epred20_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred22_1 @ X67) @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred21_1 @ X67) @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred21_1 @ X67) @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred21_1 @ X67) @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred20_1 @ X67) @ (epred19_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred20_1 @ X67) @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred20_1 @ X67) @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred20_1 @ X67) @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred19_1 @ X67) @ (epred18_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred19_1 @ X67) @ (epred17_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred19_1 @ X67) @ (epred16_1 @ X67))|(epred2_1 @ X67)))&(~(X67 @ (epred18_1 @ X67) @ (epred17_1 @ X67))|(epred2_1 @ X67))))), 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])])])])])). 440.98/75.38 thf(c_0_7, negated_conjecture, ![X52:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((((X52 @ (epred3_1 @ X52) @ (epred4_1 @ X52))|(~(epred1_1 @ X52)|~(epred2_1 @ X52)))&(~(X52 @ (epred4_1 @ X52) @ (epred3_1 @ X52))|(~(epred1_1 @ X52)|~(epred2_1 @ X52))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])). 440.98/75.38 thf(c_0_8, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((epred25_1 @ X1 @ (epred17_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])). 440.98/75.38 thf(c_0_9, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred25_1 @ X1 @ (epred16_1 @ X1))|(epred2_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_6])). 440.98/75.38 thf(c_0_10, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((X1 @ (epred17_1 @ X1) @ (epred16_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])). 440.98/75.38 thf(c_0_11, negated_conjecture, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((~((X1 @ (epred4_1 @ X1) @ (epred3_1 @ X1)))|~((epred1_1 @ X1))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])). 440.98/75.38 thf(c_0_12, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|((epred17_1 @ X1)!=(epred16_1 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_8, c_0_9])])). 440.98/75.38 thf(c_0_13, plain, (((epred17_1 @ $neq)=(epred16_1 @ $neq))|(epred2_1 @ $neq)), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_10])). 440.98/75.38 thf(c_0_14, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((![X2:$o > ($o > $o) > $o, X3:$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) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((X8 @ X2)&~((X8 @ X3)))&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X2)))&~((X9 @ X4)))&~((X9 @ X7)))&~((X10 @ X2)))&~((X10 @ X3)))&~((X11 @ X3)))&~((X11 @ X6)))&~((X11 @ X7)))&~((X12 @ X2)))&~((X12 @ X3)))&~((X12 @ X5)))&(X12 @ X6))&~((X12 @ X7)))&~((X12 @ X4)))&(X11 @ X5))&~((X11 @ X4)))&~((X11 @ X2)))&~((X10 @ X7)))&~((X10 @ X6)))&~((X10 @ X5)))&(X10 @ X4))&~((X9 @ X6)))&~((X9 @ X5)))&(X9 @ X3))&~((X8 @ X4)))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X2))|~((X1 @ X6 @ X2))|~((X1 @ X7 @ X3))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X6))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X2))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X3))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X3))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X3)))))=>(epred1_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_3])). 440.98/75.38 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])). 440.98/75.38 thf(c_0_16, plain, (epred2_1 @ $neq), inference(spm,[status(thm)],[c_0_12, c_0_13])). 440.98/75.38 thf(c_0_17, plain, ![X55:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((epred11_1 @ X55 @ (epred5_1 @ X55))|(epred1_1 @ X55))&(~(epred11_1 @ X55 @ (epred6_1 @ X55))|(epred1_1 @ X55)))&(~(epred11_1 @ X55 @ (epred8_1 @ X55))|(epred1_1 @ X55)))&(~(epred11_1 @ X55 @ (epred9_1 @ X55))|(epred1_1 @ X55)))&(~(epred11_1 @ X55 @ (epred10_1 @ X55))|(epred1_1 @ X55)))&(~(epred12_1 @ X55 @ (epred5_1 @ X55))|(epred1_1 @ X55)))&(~(epred12_1 @ X55 @ (epred7_1 @ X55))|(epred1_1 @ X55)))&(~(epred12_1 @ X55 @ (epred10_1 @ X55))|(epred1_1 @ X55)))&(~(epred13_1 @ X55 @ (epred5_1 @ X55))|(epred1_1 @ X55)))&(~(epred13_1 @ X55 @ (epred6_1 @ X55))|(epred1_1 @ X55)))&(~(epred14_1 @ X55 @ (epred6_1 @ X55))|(epred1_1 @ X55)))&(~(epred14_1 @ X55 @ (epred9_1 @ X55))|(epred1_1 @ X55)))&(~(epred14_1 @ X55 @ (epred10_1 @ X55))|(epred1_1 @ X55)))&(~(epred15_1 @ X55 @ (epred5_1 @ X55))|(epred1_1 @ X55)))&(~(epred15_1 @ X55 @ (epred6_1 @ X55))|(epred1_1 @ X55)))&(~(epred15_1 @ X55 @ (epred8_1 @ X55))|(epred1_1 @ X55)))&((epred15_1 @ X55 @ (epred9_1 @ X55))|(epred1_1 @ X55)))&(~(epred15_1 @ X55 @ (epred10_1 @ X55))|(epred1_1 @ X55)))&(~(epred15_1 @ X55 @ (epred7_1 @ X55))|(epred1_1 @ X55)))&((epred14_1 @ X55 @ (epred8_1 @ X55))|(epred1_1 @ X55)))&(~(epred14_1 @ X55 @ (epred7_1 @ X55))|(epred1_1 @ X55)))&(~(epred14_1 @ X55 @ (epred5_1 @ X55))|(epred1_1 @ X55)))&(~(epred13_1 @ X55 @ (epred10_1 @ X55))|(epred1_1 @ X55)))&(~(epred13_1 @ X55 @ (epred9_1 @ X55))|(epred1_1 @ X55)))&(~(epred13_1 @ X55 @ (epred8_1 @ X55))|(epred1_1 @ X55)))&((epred13_1 @ X55 @ (epred7_1 @ X55))|(epred1_1 @ X55)))&(~(epred12_1 @ X55 @ (epred9_1 @ X55))|(epred1_1 @ X55)))&(~(epred12_1 @ X55 @ (epred8_1 @ X55))|(epred1_1 @ X55)))&((epred12_1 @ X55 @ (epred6_1 @ X55))|(epred1_1 @ X55)))&(~(epred11_1 @ X55 @ (epred7_1 @ X55))|(epred1_1 @ X55)))&((((((((((((((((X55 @ (epred6_1 @ X55) @ (epred5_1 @ X55))|(epred1_1 @ X55))&((X55 @ (epred7_1 @ X55) @ (epred5_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred9_1 @ X55) @ (epred5_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred10_1 @ X55) @ (epred6_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred10_1 @ X55) @ (epred7_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred10_1 @ X55) @ (epred9_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred10_1 @ X55) @ (epred8_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred10_1 @ X55) @ (epred5_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred9_1 @ X55) @ (epred8_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred9_1 @ X55) @ (epred7_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred9_1 @ X55) @ (epred6_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred8_1 @ X55) @ (epred7_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred8_1 @ X55) @ (epred6_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred8_1 @ X55) @ (epred5_1 @ X55))|(epred1_1 @ X55)))&((X55 @ (epred7_1 @ X55) @ (epred6_1 @ X55))|(epred1_1 @ X55))))), 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])])])])])). 440.98/75.38 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])). 440.98/75.38 thf(c_0_19, negated_conjecture, (((epred4_1 @ $neq)=(epred3_1 @ $neq))|~((epred1_1 @ $neq))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])). 440.98/75.38 thf(c_0_20, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((X1 @ (epred10_1 @ X1) @ (epred9_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_17])). 440.98/75.38 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])). 440.98/75.38 thf(c_0_22, plain, ((epred10_1 @ $neq)!=(epred9_1 @ $neq)), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_20]), c_0_21])). 440.98/75.38 thf(c_0_23, plain, ((epred10_1 @ $neq @ ((esk166_0)) @ esk167_1)<~>(epred9_1 @ $neq @ ((esk166_0)) @ esk167_1)), inference(neg_ext,[status(thm)],[c_0_22])). 440.98/75.38 thf(c_0_24, plain, (epred169_0), inference(dynamic_cnf,[status(thm)],[c_0_23])). 440.98/75.38 thf(c_0_25, plain, (epred170_0), inference(dynamic_cnf,[status(thm)],[c_0_23])). 440.98/75.38 thf(c_0_26, plain, ($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']). 440.98/75.38 % SZS output end CNFRefutation 440.98/75.38 % Parsed axioms : 1 440.98/75.38 % Removed by relevancy pruning/SinE : 0 440.98/75.38 % Initial clauses : 155 440.98/75.38 % Removed in clause preprocessing : 0 440.98/75.38 % Initial clauses in saturation : 155 440.98/75.38 % Processed clauses : 487 440.98/75.38 % ...of these trivial : 23 440.98/75.38 % ...subsumed : 61 440.98/75.38 % ...remaining for further processing : 402 440.98/75.38 % Other redundant clauses eliminated : 89 440.98/75.38 % Clauses deleted for lack of memory : 0 440.98/75.38 % Backward-subsumed : 5 440.98/75.38 % Backward-rewritten : 6 440.98/75.38 % Generated clauses : 975 440.98/75.38 % ...of the previous two non-redundant : 732 440.98/75.38 % ...aggressively subsumed : 0 440.98/75.38 % Contextual simplify-reflections : 2 440.98/75.38 % Paramodulations : 41 440.98/75.38 % Factorizations : 0 440.98/75.38 % NegExts : 136 440.98/75.38 % Equation resolutions : 89 440.98/75.38 % Disequality decompositions : 0 440.98/75.38 % Total rewrite steps : 90 440.98/75.38 % ...of those cached : 82 440.98/75.38 % Propositional unsat checks : 0 440.98/75.38 % Propositional check models : 0 440.98/75.38 % Propositional check unsatisfiable : 0 440.98/75.38 % Propositional clauses : 0 440.98/75.38 % Propositional clauses after purity: 0 440.98/75.38 % Propositional unsat core size : 0 440.98/75.38 % Propositional preprocessing time : 0.000 440.98/75.38 % Propositional encoding time : 0.000 440.98/75.38 % Propositional solver time : 0.000 440.98/75.38 % Success case prop preproc time : 0.000 440.98/75.38 % Success case prop encoding time : 0.000 440.98/75.38 % Success case prop solver time : 0.000 440.98/75.38 % Current number of processed clauses : 231 440.98/75.38 % Positive orientable unit clauses : 8 440.98/75.38 % Positive unorientable unit clauses: 0 440.98/75.38 % Negative unit clauses : 4 440.98/75.38 % Non-unit-clauses : 219 440.98/75.38 % Current number of unprocessed clauses: 555 440.98/75.38 % ...number of literals in the above : 1268 440.98/75.38 % Current number of archived formulas : 0 440.98/75.38 % Current number of archived clauses : 171 440.98/75.38 % Clause-clause subsumption calls (NU) : 4611 440.98/75.38 % Rec. Clause-clause subsumption calls : 4393 440.98/75.38 % Non-unit clause-clause subsumptions : 56 440.98/75.38 % Unit Clause-clause subsumption calls : 1089 440.98/75.38 % Rewrite failures with RHS unbound : 0 440.98/75.38 % BW rewrite match attempts : 2 440.98/75.38 % BW rewrite match successes : 2 440.98/75.38 % Condensation attempts : 0 440.98/75.38 % Condensation successes : 0 440.98/75.38 % Termbank termtop insertions : 97876 440.98/75.38 % Search garbage collected termcells : 3523 440.98/75.38 440.98/75.38 % ------------------------------------------------- 440.98/75.38 % User time : 73.690 s 440.98/75.38 % System time : 0.437 s 440.98/75.38 % Total time : 74.127 s 440.98/75.38 % Maximum resident set size: 4164 pages 440.98/75.38 440.98/75.38 % ------------------------------------------------- 440.98/75.38 % User time : 147.246 s 440.98/75.38 % System time : 0.888 s 440.98/75.38 % Total time : 148.134 s 440.98/75.38 % Maximum resident set size: 4608 pages 440.98/75.38 % E exiting 440.98/75.38 EOF