0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.17/0.43 % Computer : n010.cluster.edu 0.17/0.43 % Model : x86_64 x86_64 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.43 % Memory : 8046.5625MB 0.17/0.43 % OS : Linux 6.8.0-71-generic 0.17/0.43 % CPULimit : 1440 0.17/0.43 % WCLimit : 180 0.17/0.43 % DateTime : Mon Jul 27 10:23:49 UTC 2026 0.17/0.44 % CPUTime : 0.17/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.21/0.50 Running higher-order theorem proving 0.21/0.53 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.LH5GFrMeYA/E---3.1_989887.p 589.49/74.90 % Version: 3.5.1-ho 589.49/74.90 % Preprocessing class: HSLSSMSSSSSNHHA. 589.49/74.90 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 589.49/74.90 % Starting new_ho_10 with 360s (2) cores 589.49/74.90 % Starting sh3 with 360s (2) cores 589.49/74.90 % Starting ho_unfolding_3 with 360s (2) cores 589.49/74.90 % Starting new_ho_10_cnf2 with 360s (2) cores 589.49/74.90 % new_ho_10 with pid 989900 completed with status 0 589.49/74.90 % Result found by new_ho_10 589.49/74.90 % Preprocessing class: HSLSSMSSSSSNHHA. 589.49/74.90 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 589.49/74.90 % Starting new_ho_10 with 360s (2) cores 589.49/74.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 589.49/74.90 % No SInE strategy applied 589.49/74.90 % Search class: HGHNF-FFMF00-SHHFFSBN 589.49/74.90 % Scheduled 7 strats onto 2 cores with 360 seconds (360 total) 589.49/74.90 % Starting SubtermCWHack with 33s (1) cores 589.49/74.90 % Starting new_ho_10 with 37s (1) cores 589.49/74.90 % SubtermCWHack with pid 989904 completed with status 10 589.49/74.90 % Starting new_bool_3 with 74s (1) cores 589.49/74.90 % new_ho_10 with pid 989905 completed with status 10 589.49/74.90 % Starting new_bool_1 with 74s (1) cores 589.49/74.90 % new_bool_1 with pid 989916 completed with status 8 589.49/74.90 % Starting sh2l with 73s (1) cores 589.49/74.90 % sh2l with pid 990342 completed with status 0 589.49/74.90 % Result found by sh2l 589.49/74.90 % Preprocessing class: HSLSSMSSSSSNHHA. 589.49/74.90 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 589.49/74.90 % Starting new_ho_10 with 360s (2) cores 589.49/74.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 589.49/74.90 % No SInE strategy applied 589.49/74.90 % Search class: HGHNF-FFMF00-SHHFFSBN 589.49/74.90 % Scheduled 7 strats onto 2 cores with 360 seconds (360 total) 589.49/74.90 % Starting SubtermCWHack with 33s (1) cores 589.49/74.90 % Starting new_ho_10 with 37s (1) cores 589.49/74.90 % SubtermCWHack with pid 989904 completed with status 10 589.49/74.90 % Starting new_bool_3 with 74s (1) cores 589.49/74.90 % new_ho_10 with pid 989905 completed with status 10 589.49/74.90 % Starting new_bool_1 with 74s (1) cores 589.49/74.90 % new_bool_1 with pid 989916 completed with status 8 589.49/74.90 % Starting sh2l with 73s (1) cores 589.49/74.90 % Preprocessing time : 0.003 s 589.49/74.90 % Presaturation interreduction done 589.49/74.90 589.49/74.90 % Proof found! 589.49/74.90 % SZS status Theorem 589.49/74.90 % SZS output start CNFRefutation 589.49/74.90 thf(decl_23, type, epred1_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o). 589.49/74.90 thf(decl_24, type, epred2_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o). 589.49/74.90 thf(decl_25, type, epred3_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_26, type, epred4_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_27, type, epred5_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_28, type, epred6_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_29, type, epred7_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_30, type, epred8_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_31, type, epred9_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_32, type, epred10_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_33, type, epred11_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_34, type, epred12_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_35, type, epred13_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_36, type, epred14_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_37, type, epred15_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_38, type, epred16_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_39, type, epred17_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_40, type, epred18_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_41, type, epred19_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_42, type, epred20_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_43, type, epred21_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_44, type, epred22_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_45, type, epred23_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_46, type, epred24_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_47, type, epred25_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_48, type, epred26_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_49, type, epred27_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_50, type, epred28_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 589.49/74.90 thf(decl_51, type, epred29_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_52, type, epred30_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_53, type, epred31_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_54, type, epred32_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_55, type, epred33_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_56, type, epred34_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 589.49/74.90 thf(decl_297, type, esk275_0: $o). 589.49/74.90 thf(decl_298, type, esk276_0: $o). 589.49/74.90 thf(decl_299, type, esk277_0: $o). 589.49/74.90 thf(decl_692, type, epred670_0: $o). 589.49/74.90 thf(decl_697, type, epred675_0: $o). 589.49/74.90 thf(ramsey_l_7_9_256, conjecture, ?[X1:($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 > $o, X9:$o > $o > $o > $o, X10:$o > $o > $o > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o, X15:($o > $o > $o > $o) > $o, X16:($o > $o > $o > $o) > $o, X17:($o > $o > $o > $o) > $o, X18:($o > $o > $o > $o) > $o]:((((X1 @ X4 @ X2)|(X1 @ X5 @ X2)|(X1 @ X5 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X2)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X2)|(X1 @ X8 @ X4)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X9 @ X4)|(X1 @ X9 @ X5)|(X1 @ X9 @ X6)|(X1 @ X10 @ X2)|(X1 @ X10 @ X4)|(X1 @ X10 @ X6)|(X1 @ X10 @ X7)|(X1 @ X10 @ X9)|(X1 @ X10 @ X8)|(X1 @ X10 @ X5)|(X1 @ X10 @ X3)|(X1 @ X9 @ X8)|(X1 @ X9 @ X7)|(X1 @ X9 @ X3)|(X1 @ X9 @ X2)|(X1 @ X8 @ X5)|(X1 @ X8 @ X3)|(X1 @ X7 @ X3)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X3)|(X1 @ X4 @ X3)|(X1 @ X3 @ X2))<=((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X11 @ X2)&~((X11 @ X4)))&~((X11 @ X5)))&~((X11 @ X6)))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X10)))&(X12 @ X3))&~((X12 @ X7)))&~((X12 @ X9)))&~((X12 @ X10)))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X10)))&~((X14 @ X3)))&~((X14 @ X6)))&~((X14 @ X8)))&~((X14 @ X9)))&~((X15 @ X4)))&(X15 @ X6))&~((X15 @ X9)))&~((X16 @ X3)))&~((X16 @ X4)))&(X16 @ X7))&~((X16 @ X8)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X9)))&~((X17 @ X10)))&~((X18 @ X2)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X6)))&(X18 @ X9))&~((X18 @ X10)))&~((X18 @ X8)))&~((X18 @ X7)))&~((X18 @ X3)))&~((X17 @ X4)))&~((X17 @ X3)))&~((X17 @ X2)))&~((X16 @ X10)))&~((X16 @ X9)))&~((X16 @ X6)))&~((X16 @ X5)))&~((X16 @ X2)))&~((X15 @ X10)))&~((X15 @ X8)))&~((X15 @ X7)))&~((X15 @ X5)))&~((X15 @ X3)))&~((X15 @ X2)))&~((X14 @ X10)))&~((X14 @ X7)))&(X14 @ X5))&~((X14 @ X4)))&~((X14 @ X2)))&~((X13 @ X9)))&~((X13 @ X8)))&~((X13 @ X7)))&(X13 @ X4))&~((X13 @ X2)))&~((X12 @ X8)))&~((X12 @ X6)))&~((X12 @ X5)))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X9)))&~((X11 @ X3)))))&![X2:$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 > $o, X8:$o > $o > $o > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o, X15:($o > $o > $o > $o) > $o, X16:($o > $o > $o > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((~((X12 @ X5))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X7)))&~((X14 @ X2)))&~((X14 @ X3)))&(X14 @ X5))&~((X15 @ X2)))&~((X15 @ X3)))&~((X15 @ X5)))&(X15 @ X6))&~((X15 @ X7)))&~((X16 @ X4)))&~((X16 @ X6)))&~((X16 @ X8)))&(X16 @ X7))&~((X16 @ X5)))&~((X16 @ X3)))&~((X16 @ X2)))&~((X15 @ X8)))&~((X15 @ X4)))&~((X14 @ X8)))&~((X14 @ X7)))&~((X14 @ X6)))&~((X14 @ X4)))&~((X13 @ X8)))&(X13 @ X4))&~((X13 @ X2)))&~((X12 @ X8)))&~((X12 @ X7)))&~((X12 @ X6)))&~((X12 @ X4)))&(X12 @ X3))&~((X12 @ X2)))&~((X11 @ X8)))&~((X11 @ X7)))&~((X11 @ X6)))&~((X11 @ X5)))&~((X11 @ X4)))&~((X11 @ X3)))&(X11 @ X2))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X5 @ X3))|~((X1 @ X6 @ X4))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X8 @ X3))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))|~((X1 @ X8 @ X2))|~((X1 @ X7 @ X6))|~((X1 @ X7 @ X3))|~((X1 @ X7 @ X2))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X2))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X2))))))&![X19:$o > $o > $o > $o, X20:$o > $o > $o > $o]:(((X1 @ X20 @ X19)<=(X1 @ X19 @ X20))))), file('/export/starexec/sandbox/tmp/tmp.LH5GFrMeYA/E---3.1_989887.p', ramsey_l_7_9_256)). 589.49/74.90 thf(c_0_1, plain, ![X1:($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 > $o, X9:$o > $o > $o > $o, X10:$o > $o > $o > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o, X15:($o > $o > $o > $o) > $o, X16:($o > $o > $o > $o) > $o, X17:($o > $o > $o > $o) > $o, X18:($o > $o > $o > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X11 @ X2)&~((X11 @ X4)))&~((X11 @ X5)))&~((X11 @ X6)))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X10)))&(X12 @ X3))&~((X12 @ X7)))&~((X12 @ X9)))&~((X12 @ X10)))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X10)))&~((X14 @ X3)))&~((X14 @ X6)))&~((X14 @ X8)))&~((X14 @ X9)))&~((X15 @ X4)))&(X15 @ X6))&~((X15 @ X9)))&~((X16 @ X3)))&~((X16 @ X4)))&(X16 @ X7))&~((X16 @ X8)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X9)))&~((X17 @ X10)))&~((X18 @ X2)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X6)))&(X18 @ X9))&~((X18 @ X10)))&~((X18 @ X8)))&~((X18 @ X7)))&~((X18 @ X3)))&~((X17 @ X4)))&~((X17 @ X3)))&~((X17 @ X2)))&~((X16 @ X10)))&~((X16 @ X9)))&~((X16 @ X6)))&~((X16 @ X5)))&~((X16 @ X2)))&~((X15 @ X10)))&~((X15 @ X8)))&~((X15 @ X7)))&~((X15 @ X5)))&~((X15 @ X3)))&~((X15 @ X2)))&~((X14 @ X10)))&~((X14 @ X7)))&(X14 @ X5))&~((X14 @ X4)))&~((X14 @ X2)))&~((X13 @ X9)))&~((X13 @ X8)))&~((X13 @ X7)))&(X13 @ X4))&~((X13 @ X2)))&~((X12 @ X8)))&~((X12 @ X6)))&~((X12 @ X5)))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X9)))&~((X11 @ X3)))=>((X1 @ X4 @ X2)|(X1 @ X5 @ X2)|(X1 @ X5 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X2)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X2)|(X1 @ X8 @ X4)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X9 @ X4)|(X1 @ X9 @ X5)|(X1 @ X9 @ X6)|(X1 @ X10 @ X2)|(X1 @ X10 @ X4)|(X1 @ X10 @ X6)|(X1 @ X10 @ X7)|(X1 @ X10 @ X9)|(X1 @ X10 @ X8)|(X1 @ X10 @ X5)|(X1 @ X10 @ X3)|(X1 @ X9 @ X8)|(X1 @ X9 @ X7)|(X1 @ X9 @ X3)|(X1 @ X9 @ X2)|(X1 @ X8 @ X5)|(X1 @ X8 @ X3)|(X1 @ X7 @ X3)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X3)|(X1 @ X4 @ X3)|(X1 @ X3 @ X2)))))), introduced(definition)). 589.49/74.90 thf(c_0_2, negated_conjecture, ~(?[X1:($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 > $o, X9:$o > $o > $o > $o, X10:$o > $o > $o > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o, X15:($o > $o > $o > $o) > $o, X16:($o > $o > $o > $o) > $o, X17:($o > $o > $o > $o) > $o, X18:($o > $o > $o > $o) > $o]:((((X1 @ X4 @ X2)|(X1 @ X5 @ X2)|(X1 @ X5 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X2)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X2)|(X1 @ X8 @ X4)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X9 @ X4)|(X1 @ X9 @ X5)|(X1 @ X9 @ X6)|(X1 @ X10 @ X2)|(X1 @ X10 @ X4)|(X1 @ X10 @ X6)|(X1 @ X10 @ X7)|(X1 @ X10 @ X9)|(X1 @ X10 @ X8)|(X1 @ X10 @ X5)|(X1 @ X10 @ X3)|(X1 @ X9 @ X8)|(X1 @ X9 @ X7)|(X1 @ X9 @ X3)|(X1 @ X9 @ X2)|(X1 @ X8 @ X5)|(X1 @ X8 @ X3)|(X1 @ X7 @ X3)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X3)|(X1 @ X4 @ X3)|(X1 @ X3 @ X2))<=((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X11 @ X2)&~((X11 @ X4)))&~((X11 @ X5)))&~((X11 @ X6)))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X10)))&(X12 @ X3))&~((X12 @ X7)))&~((X12 @ X9)))&~((X12 @ X10)))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X10)))&~((X14 @ X3)))&~((X14 @ X6)))&~((X14 @ X8)))&~((X14 @ X9)))&~((X15 @ X4)))&(X15 @ X6))&~((X15 @ X9)))&~((X16 @ X3)))&~((X16 @ X4)))&(X16 @ X7))&~((X16 @ X8)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X9)))&~((X17 @ X10)))&~((X18 @ X2)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X6)))&(X18 @ X9))&~((X18 @ X10)))&~((X18 @ X8)))&~((X18 @ X7)))&~((X18 @ X3)))&~((X17 @ X4)))&~((X17 @ X3)))&~((X17 @ X2)))&~((X16 @ X10)))&~((X16 @ X9)))&~((X16 @ X6)))&~((X16 @ X5)))&~((X16 @ X2)))&~((X15 @ X10)))&~((X15 @ X8)))&~((X15 @ X7)))&~((X15 @ X5)))&~((X15 @ X3)))&~((X15 @ X2)))&~((X14 @ X10)))&~((X14 @ X7)))&(X14 @ X5))&~((X14 @ X4)))&~((X14 @ X2)))&~((X13 @ X9)))&~((X13 @ X8)))&~((X13 @ X7)))&(X13 @ X4))&~((X13 @ X2)))&~((X12 @ X8)))&~((X12 @ X6)))&~((X12 @ X5)))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X9)))&~((X11 @ X3)))))&![X2:$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 > $o, X8:$o > $o > $o > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o, X15:($o > $o > $o > $o) > $o, X16:($o > $o > $o > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((~((X12 @ X5))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X7)))&~((X14 @ X2)))&~((X14 @ X3)))&(X14 @ X5))&~((X15 @ X2)))&~((X15 @ X3)))&~((X15 @ X5)))&(X15 @ X6))&~((X15 @ X7)))&~((X16 @ X4)))&~((X16 @ X6)))&~((X16 @ X8)))&(X16 @ X7))&~((X16 @ X5)))&~((X16 @ X3)))&~((X16 @ X2)))&~((X15 @ X8)))&~((X15 @ X4)))&~((X14 @ X8)))&~((X14 @ X7)))&~((X14 @ X6)))&~((X14 @ X4)))&~((X13 @ X8)))&(X13 @ X4))&~((X13 @ X2)))&~((X12 @ X8)))&~((X12 @ X7)))&~((X12 @ X6)))&~((X12 @ X4)))&(X12 @ X3))&~((X12 @ X2)))&~((X11 @ X8)))&~((X11 @ X7)))&~((X11 @ X6)))&~((X11 @ X5)))&~((X11 @ X4)))&~((X11 @ X3)))&(X11 @ X2))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X5 @ X3))|~((X1 @ X6 @ X4))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X8 @ X3))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))|~((X1 @ X8 @ X2))|~((X1 @ X7 @ X6))|~((X1 @ X7 @ X3))|~((X1 @ X7 @ X2))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X2))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X2))))))&![X19:$o > $o > $o > $o, X20:$o > $o > $o > $o]:(((X1 @ X20 @ X19)<=(X1 @ X19 @ X20)))))), inference(assume_negation,[status(cth)],[ramsey_l_7_9_256])). 589.49/74.90 thf(c_0_3, plain, ![X1:($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 > $o, X8:$o > $o > $o > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o, X15:($o > $o > $o > $o) > $o, X16:($o > $o > $o > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((~((X12 @ X5))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X7)))&~((X14 @ X2)))&~((X14 @ X3)))&(X14 @ X5))&~((X15 @ X2)))&~((X15 @ X3)))&~((X15 @ X5)))&(X15 @ X6))&~((X15 @ X7)))&~((X16 @ X4)))&~((X16 @ X6)))&~((X16 @ X8)))&(X16 @ X7))&~((X16 @ X5)))&~((X16 @ X3)))&~((X16 @ X2)))&~((X15 @ X8)))&~((X15 @ X4)))&~((X14 @ X8)))&~((X14 @ X7)))&~((X14 @ X6)))&~((X14 @ X4)))&~((X13 @ X8)))&(X13 @ X4))&~((X13 @ X2)))&~((X12 @ X8)))&~((X12 @ X7)))&~((X12 @ X6)))&~((X12 @ X4)))&(X12 @ X3))&~((X12 @ X2)))&~((X11 @ X8)))&~((X11 @ X7)))&~((X11 @ X6)))&~((X11 @ X5)))&~((X11 @ X4)))&~((X11 @ X3)))&(X11 @ X2))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X5 @ X3))|~((X1 @ X6 @ X4))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X8 @ X3))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))|~((X1 @ X8 @ X2))|~((X1 @ X7 @ X6))|~((X1 @ X7 @ X3))|~((X1 @ X7 @ X2))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X2))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X2))))))), introduced(definition)). 589.49/74.90 thf(c_0_4, plain, ![X1:($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 > $o, X8:$o > $o > $o > $o, X9:$o > $o > $o > $o, X10:$o > $o > $o > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o, X15:($o > $o > $o > $o) > $o, X16:($o > $o > $o > $o) > $o, X17:($o > $o > $o > $o) > $o, X18:($o > $o > $o > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X11 @ X2)&~((X11 @ X4)))&~((X11 @ X5)))&~((X11 @ X6)))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X10)))&(X12 @ X3))&~((X12 @ X7)))&~((X12 @ X9)))&~((X12 @ X10)))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X10)))&~((X14 @ X3)))&~((X14 @ X6)))&~((X14 @ X8)))&~((X14 @ X9)))&~((X15 @ X4)))&(X15 @ X6))&~((X15 @ X9)))&~((X16 @ X3)))&~((X16 @ X4)))&(X16 @ X7))&~((X16 @ X8)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X9)))&~((X17 @ X10)))&~((X18 @ X2)))&~((X18 @ X4)))&~((X18 @ X5)))&~((X18 @ X6)))&(X18 @ X9))&~((X18 @ X10)))&~((X18 @ X8)))&~((X18 @ X7)))&~((X18 @ X3)))&~((X17 @ X4)))&~((X17 @ X3)))&~((X17 @ X2)))&~((X16 @ X10)))&~((X16 @ X9)))&~((X16 @ X6)))&~((X16 @ X5)))&~((X16 @ X2)))&~((X15 @ X10)))&~((X15 @ X8)))&~((X15 @ X7)))&~((X15 @ X5)))&~((X15 @ X3)))&~((X15 @ X2)))&~((X14 @ X10)))&~((X14 @ X7)))&(X14 @ X5))&~((X14 @ X4)))&~((X14 @ X2)))&~((X13 @ X9)))&~((X13 @ X8)))&~((X13 @ X7)))&(X13 @ X4))&~((X13 @ X2)))&~((X12 @ X8)))&~((X12 @ X6)))&~((X12 @ X5)))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X9)))&~((X11 @ X3)))=>((X1 @ X4 @ X2)|(X1 @ X5 @ X2)|(X1 @ X5 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X2)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X2)|(X1 @ X8 @ X4)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X9 @ X4)|(X1 @ X9 @ X5)|(X1 @ X9 @ X6)|(X1 @ X10 @ X2)|(X1 @ X10 @ X4)|(X1 @ X10 @ X6)|(X1 @ X10 @ X7)|(X1 @ X10 @ X9)|(X1 @ X10 @ X8)|(X1 @ X10 @ X5)|(X1 @ X10 @ X3)|(X1 @ X9 @ X8)|(X1 @ X9 @ X7)|(X1 @ X9 @ X3)|(X1 @ X9 @ X2)|(X1 @ X8 @ X5)|(X1 @ X8 @ X3)|(X1 @ X7 @ X3)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X3)|(X1 @ X4 @ X3)|(X1 @ X3 @ X2))))=>(epred1_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_1])). 589.49/74.90 thf(c_0_5, negated_conjecture, ~(?[X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:((((epred1_1 @ X1)&(epred2_1 @ X1))&![X19:$o > $o > $o > $o, X20:$o > $o > $o > $o]:(((X1 @ X19 @ X20)=>(X1 @ X20 @ X19)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]), c_0_1]), c_0_3])). 589.49/74.90 thf(c_0_6, plain, ![X57:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((epred14_1 @ X57 @ (epred5_1 @ X57))|(epred1_1 @ X57))&(~(epred14_1 @ X57 @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(epred14_1 @ X57 @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(epred14_1 @ X57 @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(epred14_1 @ X57 @ (epred10_1 @ X57))|(epred1_1 @ X57)))&(~(epred14_1 @ X57 @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(epred14_1 @ X57 @ (epred13_1 @ X57))|(epred1_1 @ X57)))&((epred15_1 @ X57 @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(epred15_1 @ X57 @ (epred10_1 @ X57))|(epred1_1 @ X57)))&(~(epred15_1 @ X57 @ (epred12_1 @ X57))|(epred1_1 @ X57)))&(~(epred15_1 @ X57 @ (epred13_1 @ X57))|(epred1_1 @ X57)))&(~(epred16_1 @ X57 @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(epred16_1 @ X57 @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(epred16_1 @ X57 @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(epred16_1 @ X57 @ (epred13_1 @ X57))|(epred1_1 @ X57)))&(~(epred17_1 @ X57 @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(epred17_1 @ X57 @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(epred17_1 @ X57 @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(epred17_1 @ X57 @ (epred12_1 @ X57))|(epred1_1 @ X57)))&(~(epred18_1 @ X57 @ (epred7_1 @ X57))|(epred1_1 @ X57)))&((epred18_1 @ X57 @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(epred18_1 @ X57 @ (epred12_1 @ X57))|(epred1_1 @ X57)))&(~(epred19_1 @ X57 @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(epred19_1 @ X57 @ (epred7_1 @ X57))|(epred1_1 @ X57)))&((epred19_1 @ X57 @ (epred10_1 @ X57))|(epred1_1 @ X57)))&(~(epred19_1 @ X57 @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(epred20_1 @ X57 @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(epred20_1 @ X57 @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(epred20_1 @ X57 @ (epred10_1 @ X57))|(epred1_1 @ X57)))&((epred20_1 @ X57 @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(epred20_1 @ X57 @ (epred12_1 @ X57))|(epred1_1 @ X57)))&(~(epred20_1 @ X57 @ (epred13_1 @ X57))|(epred1_1 @ X57)))&(~(epred21_1 @ X57 @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(epred21_1 @ X57 @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(epred21_1 @ X57 @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(epred21_1 @ X57 @ (epred9_1 @ X57))|(epred1_1 @ X57)))&((epred21_1 @ X57 @ (epred12_1 @ X57))|(epred1_1 @ X57)))&(~(epred21_1 @ X57 @ (epred13_1 @ X57))|(epred1_1 @ X57)))&(~(epred21_1 @ X57 @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(epred21_1 @ X57 @ (epred10_1 @ X57))|(epred1_1 @ X57)))&(~(epred21_1 @ X57 @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(epred20_1 @ X57 @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(epred20_1 @ X57 @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(epred20_1 @ X57 @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(epred19_1 @ X57 @ (epred13_1 @ X57))|(epred1_1 @ X57)))&(~(epred19_1 @ X57 @ (epred12_1 @ X57))|(epred1_1 @ X57)))&(~(epred19_1 @ X57 @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(epred19_1 @ X57 @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(epred19_1 @ X57 @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(epred18_1 @ X57 @ (epred13_1 @ X57))|(epred1_1 @ X57)))&(~(epred18_1 @ X57 @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(epred18_1 @ X57 @ (epred10_1 @ X57))|(epred1_1 @ X57)))&(~(epred18_1 @ X57 @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(epred18_1 @ X57 @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(epred18_1 @ X57 @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(epred17_1 @ X57 @ (epred13_1 @ X57))|(epred1_1 @ X57)))&(~(epred17_1 @ X57 @ (epred10_1 @ X57))|(epred1_1 @ X57)))&((epred17_1 @ X57 @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(epred17_1 @ X57 @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(epred17_1 @ X57 @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(epred16_1 @ X57 @ (epred12_1 @ X57))|(epred1_1 @ X57)))&(~(epred16_1 @ X57 @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(epred16_1 @ X57 @ (epred10_1 @ X57))|(epred1_1 @ X57)))&((epred16_1 @ X57 @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(epred16_1 @ X57 @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(epred15_1 @ X57 @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(epred15_1 @ X57 @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(epred15_1 @ X57 @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(epred15_1 @ X57 @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(epred15_1 @ X57 @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(epred14_1 @ X57 @ (epred12_1 @ X57))|(epred1_1 @ X57)))&(~(epred14_1 @ X57 @ (epred6_1 @ X57))|(epred1_1 @ X57)))&((((((((((((((((((((((((((((((((((((~(X57 @ (epred7_1 @ X57) @ (epred5_1 @ X57))|(epred1_1 @ X57))&(~(X57 @ (epred8_1 @ X57) @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred8_1 @ X57) @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred9_1 @ X57) @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred10_1 @ X57) @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred10_1 @ X57) @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred10_1 @ X57) @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred10_1 @ X57) @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred11_1 @ X57) @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred11_1 @ X57) @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred11_1 @ X57) @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred11_1 @ X57) @ (epred10_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred12_1 @ X57) @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred12_1 @ X57) @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred12_1 @ X57) @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred13_1 @ X57) @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred13_1 @ X57) @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred13_1 @ X57) @ (epred9_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred13_1 @ X57) @ (epred10_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred13_1 @ X57) @ (epred12_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred13_1 @ X57) @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred13_1 @ X57) @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred13_1 @ X57) @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred12_1 @ X57) @ (epred11_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred12_1 @ X57) @ (epred10_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred12_1 @ X57) @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred12_1 @ X57) @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred11_1 @ X57) @ (epred8_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred11_1 @ X57) @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred10_1 @ X57) @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred9_1 @ X57) @ (epred7_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred9_1 @ X57) @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred9_1 @ X57) @ (epred5_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred8_1 @ X57) @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred7_1 @ X57) @ (epred6_1 @ X57))|(epred1_1 @ X57)))&(~(X57 @ (epred6_1 @ X57) @ (epred5_1 @ X57))|(epred1_1 @ X57))))), 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])])])])])). 589.49/74.90 thf(c_0_7, negated_conjecture, ![X54:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:((((X54 @ (epred3_1 @ X54) @ (epred4_1 @ X54))|(~(epred1_1 @ X54)|~(epred2_1 @ X54)))&(~(X54 @ (epred4_1 @ X54) @ (epred3_1 @ X54))|(~(epred1_1 @ X54)|~(epred2_1 @ X54))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])). 589.49/74.90 thf(c_0_8, plain, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((epred1_1 @ X1)|~((epred14_1 @ X1 @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])). 589.49/74.90 thf(c_0_9, plain, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((epred14_1 @ X1 @ (epred5_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_6])). 589.49/74.90 thf(c_0_10, plain, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((epred1_1 @ X1)|~((X1 @ (epred6_1 @ X1) @ (epred5_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])). 589.49/74.90 thf(c_0_11, negated_conjecture, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:((~((X1 @ (epred4_1 @ X1) @ (epred3_1 @ X1)))|~((epred1_1 @ X1))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])). 589.49/74.90 thf(c_0_12, plain, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((epred1_1 @ X1)|((epred6_1 @ X1)!=(epred5_1 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_8, c_0_9])])). 589.49/74.90 thf(c_0_13, plain, (((epred6_1 @ $neq)=(epred5_1 @ $neq))|(epred1_1 @ $neq)), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_10])). 589.49/74.90 thf(c_0_14, plain, ![X1:($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 > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o, X15:($o > $o > $o > $o) > $o, X16:($o > $o > $o > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((~((X12 @ X5))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X7)))&~((X14 @ X2)))&~((X14 @ X3)))&(X14 @ X5))&~((X15 @ X2)))&~((X15 @ X3)))&~((X15 @ X5)))&(X15 @ X6))&~((X15 @ X7)))&~((X16 @ X4)))&~((X16 @ X6)))&~((X16 @ X8)))&(X16 @ X7))&~((X16 @ X5)))&~((X16 @ X3)))&~((X16 @ X2)))&~((X15 @ X8)))&~((X15 @ X4)))&~((X14 @ X8)))&~((X14 @ X7)))&~((X14 @ X6)))&~((X14 @ X4)))&~((X13 @ X8)))&(X13 @ X4))&~((X13 @ X2)))&~((X12 @ X8)))&~((X12 @ X7)))&~((X12 @ X6)))&~((X12 @ X4)))&(X12 @ X3))&~((X12 @ X2)))&~((X11 @ X8)))&~((X11 @ X7)))&~((X11 @ X6)))&~((X11 @ X5)))&~((X11 @ X4)))&~((X11 @ X3)))&(X11 @ X2))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X5 @ X3))|~((X1 @ X6 @ X4))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X8 @ X3))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))|~((X1 @ X8 @ X2))|~((X1 @ X7 @ X6))|~((X1 @ X7 @ X3))|~((X1 @ X7 @ X2))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X2))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X2)))))=>(epred2_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_3])). 589.49/74.90 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])). 589.49/74.90 thf(c_0_16, plain, (epred1_1 @ $neq), inference(spm,[status(thm)],[c_0_12, c_0_13])). 589.49/74.90 thf(c_0_17, plain, ![X75:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((~(epred30_1 @ X75 @ (epred25_1 @ X75))|(epred2_1 @ X75))&(~(epred31_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred25_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred26_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred27_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&((epred32_1 @ X75 @ (epred25_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred25_1 @ X75))|(epred2_1 @ X75)))&((epred33_1 @ X75 @ (epred26_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred27_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred26_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred28_1 @ X75))|(epred2_1 @ X75)))&((epred34_1 @ X75 @ (epred27_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred25_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred28_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred28_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred27_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred26_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred28_1 @ X75))|(epred2_1 @ X75)))&((epred31_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred28_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred27_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred26_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&((epred30_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred28_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred27_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred26_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred25_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&((epred29_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&((((((((((((((((((((((X75 @ (epred23_1 @ X75) @ (epred22_1 @ X75))|(epred2_1 @ X75))&((X75 @ (epred24_1 @ X75) @ (epred23_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred25_1 @ X75) @ (epred23_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred26_1 @ X75) @ (epred24_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred27_1 @ X75) @ (epred24_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred27_1 @ X75) @ (epred25_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred28_1 @ X75) @ (epred23_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred28_1 @ X75) @ (epred24_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred28_1 @ X75) @ (epred25_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred28_1 @ X75) @ (epred26_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred28_1 @ X75) @ (epred27_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred28_1 @ X75) @ (epred22_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred27_1 @ X75) @ (epred26_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred27_1 @ X75) @ (epred23_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred27_1 @ X75) @ (epred22_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred26_1 @ X75) @ (epred25_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred26_1 @ X75) @ (epred23_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred26_1 @ X75) @ (epred22_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred25_1 @ X75) @ (epred24_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred25_1 @ X75) @ (epred22_1 @ X75))|(epred2_1 @ X75)))&((X75 @ (epred24_1 @ X75) @ (epred22_1 @ X75))|(epred2_1 @ X75))))), 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])])])])])). 589.49/74.90 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])). 589.49/74.90 thf(c_0_19, negated_conjecture, (((epred4_1 @ $neq)=(epred3_1 @ $neq))|~((epred2_1 @ $neq))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])). 589.49/74.90 thf(c_0_20, plain, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((X1 @ (epred28_1 @ X1) @ (epred22_1 @ X1))|(epred2_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_17])). 589.49/74.90 thf(c_0_21, negated_conjecture, ~((epred2_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])). 589.49/74.90 thf(c_0_22, plain, ((epred28_1 @ $neq)!=(epred22_1 @ $neq)), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_20]), c_0_21])). 589.49/74.90 thf(c_0_23, plain, ((epred28_1 @ $neq @ ((esk275_0)) @ ((esk276_0)) @ ((esk277_0)))<~>(epred22_1 @ $neq @ ((esk275_0)) @ ((esk276_0)) @ ((esk277_0)))), inference(neg_ext,[status(thm)],[c_0_22])). 589.49/74.90 thf(c_0_24, plain, (~((epred670_0))|~((epred675_0))), inference(dynamic_cnf,[status(thm)],[c_0_23])). 589.49/74.90 thf(c_0_25, plain, (epred670_0), inference(dynamic_cnf,[status(thm)],[c_0_23])). 589.49/74.90 thf(c_0_26, plain, ~((epred675_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])). 589.49/74.90 thf(c_0_27, plain, ($false), inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_23]), c_0_26]), ['proof']). 589.49/74.90 % SZS output end CNFRefutation 589.49/74.90 % Parsed axioms : 1 589.49/74.90 % Removed by relevancy pruning/SinE : 0 589.49/74.90 % Initial clauses : 173 589.49/74.90 % Removed in clause preprocessing : 0 589.49/74.90 % Initial clauses in saturation : 173 589.49/74.90 % Processed clauses : 903 589.49/74.90 % ...of these trivial : 63 589.49/74.90 % ...subsumed : 122 589.49/74.90 % ...remaining for further processing : 717 589.49/74.90 % Other redundant clauses eliminated : 100 589.49/74.90 % Clauses deleted for lack of memory : 0 589.49/74.90 % Backward-subsumed : 11 589.49/74.90 % Backward-rewritten : 11 589.49/74.90 % Generated clauses : 2919 589.49/74.90 % ...of the previous two non-redundant : 2015 589.49/74.90 % ...aggressively subsumed : 0 589.49/74.90 % Contextual simplify-reflections : 2 589.49/74.90 % Paramodulations : 44 589.49/74.90 % Factorizations : 0 589.49/74.90 % NegExts : 591 589.49/74.90 % Equation resolutions : 100 589.49/74.90 % Disequality decompositions : 0 589.49/74.90 % Total rewrite steps : 150 589.49/74.90 % ...of those cached : 146 589.49/74.90 % Propositional unsat checks : 0 589.49/74.90 % Propositional check models : 0 589.49/74.90 % Propositional check unsatisfiable : 0 589.49/74.90 % Propositional clauses : 0 589.49/74.90 % Propositional clauses after purity: 0 589.49/74.90 % Propositional unsat core size : 0 589.49/74.90 % Propositional preprocessing time : 0.000 589.49/74.90 % Propositional encoding time : 0.000 589.49/74.90 % Propositional solver time : 0.000 589.49/74.90 % Success case prop preproc time : 0.000 589.49/74.90 % Success case prop encoding time : 0.000 589.49/74.90 % Success case prop solver time : 0.000 589.49/74.90 % Current number of processed clauses : 511 589.49/74.90 % Positive orientable unit clauses : 4 589.49/74.90 % Positive unorientable unit clauses: 0 589.49/74.90 % Negative unit clauses : 198 589.49/74.90 % Non-unit-clauses : 309 589.49/74.90 % Current number of unprocessed clauses: 1439 589.49/74.90 % ...number of literals in the above : 4627 589.49/74.90 % Current number of archived formulas : 0 589.49/74.90 % Current number of archived clauses : 206 589.49/74.90 % Clause-clause subsumption calls (NU) : 6068 589.49/74.90 % Rec. Clause-clause subsumption calls : 5230 589.49/74.90 % Non-unit clause-clause subsumptions : 74 589.49/74.90 % Unit Clause-clause subsumption calls : 760 589.49/74.90 % Rewrite failures with RHS unbound : 0 589.49/74.90 % BW rewrite match attempts : 4 589.49/74.90 % BW rewrite match successes : 4 589.49/74.90 % Condensation attempts : 0 589.49/74.90 % Condensation successes : 0 589.49/74.90 % Termbank termtop insertions : 238480 589.49/74.90 % Search garbage collected termcells : 3942 589.49/74.90 589.49/74.90 % ------------------------------------------------- 589.49/74.90 % User time : 74.018 s 589.49/74.90 % System time : 0.201 s 589.49/74.90 % Total time : 74.219 s 589.49/74.90 % Maximum resident set size: 4220 pages 589.49/74.90 589.49/74.90 % ------------------------------------------------- 589.49/74.90 % User time : 147.322 s 589.49/74.90 % System time : 0.412 s 589.49/74.90 % Total time : 147.733 s 589.49/74.90 % Maximum resident set size: 4864 pages 589.49/74.90 % E exiting 589.49/74.91 EOF