0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.37 % Computer : n004.cluster.edu 0.11/0.37 % Model : x86_64 x86_64 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.37 % Memory : 8046.5625MB 0.11/0.37 % OS : Linux 6.8.0-71-generic 0.11/0.37 % CPULimit : 1440 0.11/0.37 % WCLimit : 180 0.11/0.37 % DateTime : Mon Jul 27 10:42:08 UTC 2026 0.11/0.37 % CPUTime : 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.41 Running higher-order theorem proving 0.11/0.43 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.I2UGBv7dPb/E---3.1_2883212.p 403.95/56.22 % Version: 3.5.1-ho 403.95/56.22 % Preprocessing class: HSMSSMSSSSSNHHA. 403.95/56.22 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 403.95/56.22 % Starting full_lambda_6 with 540s (3) cores 403.95/56.22 % Starting post_as_ho1 with 180s (1) cores 403.95/56.22 % Starting lpo6_lambda_fix with 180s (1) cores 403.95/56.22 % Starting ho_unfolding_1 with 180s (1) cores 403.95/56.22 % Starting new_ho_10_unif with 180s (1) cores 403.95/56.22 % Starting ho_unfolding_2 with 180s (1) cores 403.95/56.22 % full_lambda_6 with pid 2883225 completed with status 0 403.95/56.22 % Result found by full_lambda_6 403.95/56.22 % Preprocessing class: HSMSSMSSSSSNHHA. 403.95/56.22 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 403.95/56.22 % Starting full_lambda_6 with 540s (3) cores 403.95/56.22 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true)) 403.95/56.22 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 403.95/56.22 % Search class: HGHNF-FFMF00-SHHFFSBN 403.95/56.22 % Scheduled 7 strats onto 3 cores with 540 seconds (540 total) 403.95/56.22 % Starting SubtermCWHack with 49s (1) cores 403.95/56.22 % Starting full_lambda_6 with 55s (1) cores 403.95/56.22 % Starting new_bool_3 with 111s (1) cores 403.95/56.22 % SubtermCWHack with pid 2883231 completed with status 10 403.95/56.22 % Starting new_bool_1 with 110s (1) cores 403.95/56.22 % full_lambda_6 with pid 2883232 completed with status 8 403.95/56.22 % Starting sh2l with 110s (1) cores 403.95/56.22 % sh2l with pid 2883250 completed with status 0 403.95/56.22 % Result found by sh2l 403.95/56.22 % Preprocessing class: HSMSSMSSSSSNHHA. 403.95/56.22 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 403.95/56.22 % Starting full_lambda_6 with 540s (3) cores 403.95/56.22 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true)) 403.95/56.22 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 403.95/56.22 % Search class: HGHNF-FFMF00-SHHFFSBN 403.95/56.22 % Scheduled 7 strats onto 3 cores with 540 seconds (540 total) 403.95/56.22 % Starting SubtermCWHack with 49s (1) cores 403.95/56.22 % Starting full_lambda_6 with 55s (1) cores 403.95/56.22 % Starting new_bool_3 with 111s (1) cores 403.95/56.22 % SubtermCWHack with pid 2883231 completed with status 10 403.95/56.22 % Starting new_bool_1 with 110s (1) cores 403.95/56.22 % full_lambda_6 with pid 2883232 completed with status 8 403.95/56.22 % Starting sh2l with 110s (1) cores 403.95/56.22 % Preprocessing time : 0.003 s 403.95/56.22 % Presaturation interreduction done 403.95/56.22 403.95/56.22 % Proof found! 403.95/56.22 % SZS status Theorem 403.95/56.22 % SZS output start CNFRefutation 403.95/56.22 thf(decl_23, type, epred1_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o). 403.95/56.22 thf(decl_24, type, epred2_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o). 403.95/56.22 thf(decl_25, type, epred3_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_26, type, epred4_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_27, type, epred5_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_28, type, epred6_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_29, type, epred7_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_30, type, epred8_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_31, type, epred9_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_32, type, epred10_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_33, type, epred11_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_34, type, epred12_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_35, type, epred13_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_36, type, epred14_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_37, type, epred15_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_38, type, epred16_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_39, type, epred17_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_40, type, epred18_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_41, type, epred19_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_42, type, epred20_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_43, type, epred21_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_44, type, epred22_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_45, type, epred23_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_46, type, epred24_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_47, type, epred25_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_48, type, epred26_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > $o > $o > $o > $o). 403.95/56.22 thf(decl_49, type, epred27_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_50, type, epred28_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_51, type, epred29_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_52, type, epred30_1: (($o > $o > $o > $o) > ($o > $o > $o > $o) > $o) > ($o > $o > $o > $o) > $o). 403.95/56.22 thf(decl_241, type, esk219_0: $o). 403.95/56.22 thf(decl_242, type, esk220_0: $o). 403.95/56.22 thf(decl_243, type, esk221_0: $o). 403.95/56.22 thf(decl_543, type, epred521_0: $o). 403.95/56.22 thf(decl_548, type, epred526_0: $o). 403.95/56.22 thf(ramsey_l_5_9_256, conjecture, ?[X1:($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) > $o]:((((X1 @ X3 @ X2)|(X1 @ X5 @ X2)|(X1 @ X6 @ X2)|(X1 @ X7 @ X3)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X9 @ X5)|(X1 @ X9 @ X8)|(X1 @ X10 @ X4)|(X1 @ X10 @ X5)|(X1 @ X10 @ X6)|(X1 @ X10 @ X7)|(X1 @ X10 @ X9)|(X1 @ X10 @ X8)|(X1 @ X10 @ X3)|(X1 @ X10 @ X2)|(X1 @ X9 @ X7)|(X1 @ X9 @ X6)|(X1 @ X9 @ X4)|(X1 @ X9 @ X3)|(X1 @ X9 @ X2)|(X1 @ X8 @ X5)|(X1 @ X8 @ X3)|(X1 @ X8 @ X2)|(X1 @ X7 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X2)|(X1 @ X6 @ X5)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X5 @ X4)|(X1 @ X5 @ X3)|(X1 @ X4 @ X3)|(X1 @ X4 @ X2))<=(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~((X11 @ X5))&~((X11 @ X7)))&~((X11 @ X10)))&~((X12 @ X2)))&(X12 @ X3))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&~((X12 @ X9)))&~((X13 @ X2)))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X7)))&~((X13 @ X8)))&~((X13 @ X10)))&~((X14 @ X4)))&(X14 @ X5))&~((X14 @ X7)))&~((X14 @ X8)))&~((X14 @ X10)))&~((X15 @ X2)))&~((X15 @ X5)))&(X15 @ X6))&~((X15 @ X7)))&~((X15 @ X8)))&~((X16 @ X2)))&~((X16 @ X3)))&~((X16 @ X4)))&~((X16 @ X5)))&~((X16 @ X6)))&(X16 @ X7))&~((X17 @ X4)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X9)))&~((X17 @ X10)))&~((X18 @ X2)))&~((X18 @ X3)))&~((X18 @ X4)))&~((X18 @ X6)))&~((X18 @ X8)))&~((X18 @ X10)))&(X18 @ X9))&~((X18 @ X7)))&~((X18 @ X5)))&~((X17 @ X3)))&~((X17 @ X2)))&~((X16 @ X10)))&~((X16 @ X9)))&~((X16 @ X8)))&~((X15 @ X10)))&~((X15 @ X9)))&~((X15 @ X4)))&~((X15 @ X3)))&~((X14 @ X9)))&~((X14 @ X6)))&~((X14 @ X3)))&~((X14 @ X2)))&~((X13 @ X9)))&(X13 @ X4))&~((X12 @ X10)))&~((X12 @ X8)))&~((X12 @ X7)))&~((X11 @ X9)))&~((X11 @ X8)))&~((X11 @ X6)))&~((X11 @ X4)))&~((X11 @ X3)))&(X11 @ X2))))&![X2:$o > $o > $o > $o, X3:$o > $o > $o > $o, X4:$o > $o > $o > $o, X5:$o > $o > $o > $o, X6:$o > $o > $o > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o]:(((((((((((((((((((((~((X11 @ X3))&~((X11 @ X4)))&(X12 @ X3))&~((X12 @ X5)))&~((X12 @ X6)))&~((X13 @ X2)))&~((X13 @ X3)))&(X13 @ X4))&~((X14 @ X3)))&(X14 @ X5))&~((X14 @ X6)))&~((X14 @ X4)))&~((X14 @ X2)))&~((X13 @ X6)))&~((X13 @ X5)))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X6)))&~((X11 @ X5)))&(X11 @ X2))=>(~((X1 @ X4 @ X2))|~((X1 @ X5 @ X3))|~((X1 @ X5 @ X4))|~((X1 @ X6 @ X2))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X3 @ X2))))))&![X19:$o > $o > $o > $o, X20:$o > $o > $o > $o]:(((X1 @ X20 @ X19)<=(X1 @ X19 @ X20))))), file('/export/starexec/sandbox2/tmp/tmp.I2UGBv7dPb/E---3.1_2883212.p', ramsey_l_5_9_256)). 403.95/56.22 thf(c_0_1, plain, ![X1:($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) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~((X11 @ X5))&~((X11 @ X7)))&~((X11 @ X10)))&~((X12 @ X2)))&(X12 @ X3))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&~((X12 @ X9)))&~((X13 @ X2)))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X7)))&~((X13 @ X8)))&~((X13 @ X10)))&~((X14 @ X4)))&(X14 @ X5))&~((X14 @ X7)))&~((X14 @ X8)))&~((X14 @ X10)))&~((X15 @ X2)))&~((X15 @ X5)))&(X15 @ X6))&~((X15 @ X7)))&~((X15 @ X8)))&~((X16 @ X2)))&~((X16 @ X3)))&~((X16 @ X4)))&~((X16 @ X5)))&~((X16 @ X6)))&(X16 @ X7))&~((X17 @ X4)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X9)))&~((X17 @ X10)))&~((X18 @ X2)))&~((X18 @ X3)))&~((X18 @ X4)))&~((X18 @ X6)))&~((X18 @ X8)))&~((X18 @ X10)))&(X18 @ X9))&~((X18 @ X7)))&~((X18 @ X5)))&~((X17 @ X3)))&~((X17 @ X2)))&~((X16 @ X10)))&~((X16 @ X9)))&~((X16 @ X8)))&~((X15 @ X10)))&~((X15 @ X9)))&~((X15 @ X4)))&~((X15 @ X3)))&~((X14 @ X9)))&~((X14 @ X6)))&~((X14 @ X3)))&~((X14 @ X2)))&~((X13 @ X9)))&(X13 @ X4))&~((X12 @ X10)))&~((X12 @ X8)))&~((X12 @ X7)))&~((X11 @ X9)))&~((X11 @ X8)))&~((X11 @ X6)))&~((X11 @ X4)))&~((X11 @ X3)))&(X11 @ X2))=>((X1 @ X3 @ X2)|(X1 @ X5 @ X2)|(X1 @ X6 @ X2)|(X1 @ X7 @ X3)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X9 @ X5)|(X1 @ X9 @ X8)|(X1 @ X10 @ X4)|(X1 @ X10 @ X5)|(X1 @ X10 @ X6)|(X1 @ X10 @ X7)|(X1 @ X10 @ X9)|(X1 @ X10 @ X8)|(X1 @ X10 @ X3)|(X1 @ X10 @ X2)|(X1 @ X9 @ X7)|(X1 @ X9 @ X6)|(X1 @ X9 @ X4)|(X1 @ X9 @ X3)|(X1 @ X9 @ X2)|(X1 @ X8 @ X5)|(X1 @ X8 @ X3)|(X1 @ X8 @ X2)|(X1 @ X7 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X2)|(X1 @ X6 @ X5)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X5 @ X4)|(X1 @ X5 @ X3)|(X1 @ X4 @ X3)|(X1 @ X4 @ X2)))))), introduced(definition)). 403.95/56.22 thf(c_0_2, negated_conjecture, ~(?[X1:($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) > $o]:((((X1 @ X3 @ X2)|(X1 @ X5 @ X2)|(X1 @ X6 @ X2)|(X1 @ X7 @ X3)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X9 @ X5)|(X1 @ X9 @ X8)|(X1 @ X10 @ X4)|(X1 @ X10 @ X5)|(X1 @ X10 @ X6)|(X1 @ X10 @ X7)|(X1 @ X10 @ X9)|(X1 @ X10 @ X8)|(X1 @ X10 @ X3)|(X1 @ X10 @ X2)|(X1 @ X9 @ X7)|(X1 @ X9 @ X6)|(X1 @ X9 @ X4)|(X1 @ X9 @ X3)|(X1 @ X9 @ X2)|(X1 @ X8 @ X5)|(X1 @ X8 @ X3)|(X1 @ X8 @ X2)|(X1 @ X7 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X2)|(X1 @ X6 @ X5)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X5 @ X4)|(X1 @ X5 @ X3)|(X1 @ X4 @ X3)|(X1 @ X4 @ X2))<=(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~((X11 @ X5))&~((X11 @ X7)))&~((X11 @ X10)))&~((X12 @ X2)))&(X12 @ X3))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&~((X12 @ X9)))&~((X13 @ X2)))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X7)))&~((X13 @ X8)))&~((X13 @ X10)))&~((X14 @ X4)))&(X14 @ X5))&~((X14 @ X7)))&~((X14 @ X8)))&~((X14 @ X10)))&~((X15 @ X2)))&~((X15 @ X5)))&(X15 @ X6))&~((X15 @ X7)))&~((X15 @ X8)))&~((X16 @ X2)))&~((X16 @ X3)))&~((X16 @ X4)))&~((X16 @ X5)))&~((X16 @ X6)))&(X16 @ X7))&~((X17 @ X4)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X9)))&~((X17 @ X10)))&~((X18 @ X2)))&~((X18 @ X3)))&~((X18 @ X4)))&~((X18 @ X6)))&~((X18 @ X8)))&~((X18 @ X10)))&(X18 @ X9))&~((X18 @ X7)))&~((X18 @ X5)))&~((X17 @ X3)))&~((X17 @ X2)))&~((X16 @ X10)))&~((X16 @ X9)))&~((X16 @ X8)))&~((X15 @ X10)))&~((X15 @ X9)))&~((X15 @ X4)))&~((X15 @ X3)))&~((X14 @ X9)))&~((X14 @ X6)))&~((X14 @ X3)))&~((X14 @ X2)))&~((X13 @ X9)))&(X13 @ X4))&~((X12 @ X10)))&~((X12 @ X8)))&~((X12 @ X7)))&~((X11 @ X9)))&~((X11 @ X8)))&~((X11 @ X6)))&~((X11 @ X4)))&~((X11 @ X3)))&(X11 @ X2))))&![X2:$o > $o > $o > $o, X3:$o > $o > $o > $o, X4:$o > $o > $o > $o, X5:$o > $o > $o > $o, X6:$o > $o > $o > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o]:(((((((((((((((((((((~((X11 @ X3))&~((X11 @ X4)))&(X12 @ X3))&~((X12 @ X5)))&~((X12 @ X6)))&~((X13 @ X2)))&~((X13 @ X3)))&(X13 @ X4))&~((X14 @ X3)))&(X14 @ X5))&~((X14 @ X6)))&~((X14 @ X4)))&~((X14 @ X2)))&~((X13 @ X6)))&~((X13 @ X5)))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X6)))&~((X11 @ X5)))&(X11 @ X2))=>(~((X1 @ X4 @ X2))|~((X1 @ X5 @ X3))|~((X1 @ X5 @ X4))|~((X1 @ X6 @ X2))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X3 @ X2))))))&![X19:$o > $o > $o > $o, X20:$o > $o > $o > $o]:(((X1 @ X20 @ X19)<=(X1 @ X19 @ X20)))))), inference(assume_negation,[status(cth)],[ramsey_l_5_9_256])). 403.95/56.22 thf(c_0_3, plain, ![X1:($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 > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o]:(((((((((((((((((((((~((X11 @ X3))&~((X11 @ X4)))&(X12 @ X3))&~((X12 @ X5)))&~((X12 @ X6)))&~((X13 @ X2)))&~((X13 @ X3)))&(X13 @ X4))&~((X14 @ X3)))&(X14 @ X5))&~((X14 @ X6)))&~((X14 @ X4)))&~((X14 @ X2)))&~((X13 @ X6)))&~((X13 @ X5)))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X6)))&~((X11 @ X5)))&(X11 @ X2))=>(~((X1 @ X4 @ X2))|~((X1 @ X5 @ X3))|~((X1 @ X5 @ X4))|~((X1 @ X6 @ X2))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X3 @ X2))))))), introduced(definition)). 403.95/56.22 thf(c_0_4, plain, ![X1:($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) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~((X11 @ X5))&~((X11 @ X7)))&~((X11 @ X10)))&~((X12 @ X2)))&(X12 @ X3))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&~((X12 @ X9)))&~((X13 @ X2)))&~((X13 @ X3)))&~((X13 @ X5)))&~((X13 @ X6)))&~((X13 @ X7)))&~((X13 @ X8)))&~((X13 @ X10)))&~((X14 @ X4)))&(X14 @ X5))&~((X14 @ X7)))&~((X14 @ X8)))&~((X14 @ X10)))&~((X15 @ X2)))&~((X15 @ X5)))&(X15 @ X6))&~((X15 @ X7)))&~((X15 @ X8)))&~((X16 @ X2)))&~((X16 @ X3)))&~((X16 @ X4)))&~((X16 @ X5)))&~((X16 @ X6)))&(X16 @ X7))&~((X17 @ X4)))&~((X17 @ X5)))&~((X17 @ X6)))&~((X17 @ X7)))&(X17 @ X8))&~((X17 @ X9)))&~((X17 @ X10)))&~((X18 @ X2)))&~((X18 @ X3)))&~((X18 @ X4)))&~((X18 @ X6)))&~((X18 @ X8)))&~((X18 @ X10)))&(X18 @ X9))&~((X18 @ X7)))&~((X18 @ X5)))&~((X17 @ X3)))&~((X17 @ X2)))&~((X16 @ X10)))&~((X16 @ X9)))&~((X16 @ X8)))&~((X15 @ X10)))&~((X15 @ X9)))&~((X15 @ X4)))&~((X15 @ X3)))&~((X14 @ X9)))&~((X14 @ X6)))&~((X14 @ X3)))&~((X14 @ X2)))&~((X13 @ X9)))&(X13 @ X4))&~((X12 @ X10)))&~((X12 @ X8)))&~((X12 @ X7)))&~((X11 @ X9)))&~((X11 @ X8)))&~((X11 @ X6)))&~((X11 @ X4)))&~((X11 @ X3)))&(X11 @ X2))=>((X1 @ X3 @ X2)|(X1 @ X5 @ X2)|(X1 @ X6 @ X2)|(X1 @ X7 @ X3)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X9 @ X5)|(X1 @ X9 @ X8)|(X1 @ X10 @ X4)|(X1 @ X10 @ X5)|(X1 @ X10 @ X6)|(X1 @ X10 @ X7)|(X1 @ X10 @ X9)|(X1 @ X10 @ X8)|(X1 @ X10 @ X3)|(X1 @ X10 @ X2)|(X1 @ X9 @ X7)|(X1 @ X9 @ X6)|(X1 @ X9 @ X4)|(X1 @ X9 @ X3)|(X1 @ X9 @ X2)|(X1 @ X8 @ X5)|(X1 @ X8 @ X3)|(X1 @ X8 @ X2)|(X1 @ X7 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X2)|(X1 @ X6 @ X5)|(X1 @ X6 @ X4)|(X1 @ X6 @ X3)|(X1 @ X5 @ X4)|(X1 @ X5 @ X3)|(X1 @ X4 @ X3)|(X1 @ X4 @ X2))))=>(epred1_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_1])). 403.95/56.22 thf(c_0_5, negated_conjecture, ~(?[X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:((((epred1_1 @ X1)&(epred2_1 @ X1))&![X19:$o > $o > $o > $o, X20:$o > $o > $o > $o]:(((X1 @ X19 @ X20)=>(X1 @ X20 @ X19)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]), c_0_1]), c_0_3])). 403.95/56.22 thf(c_0_6, plain, ![X53:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(epred14_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53))&(~(epred14_1 @ X53 @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(epred14_1 @ X53 @ (epred13_1 @ X53))|(epred1_1 @ X53)))&(~(epred15_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&((epred15_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred15_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred15_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred15_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred15_1 @ X53 @ (epred12_1 @ X53))|(epred1_1 @ X53)))&(~(epred16_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(epred16_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred16_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred16_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred16_1 @ X53 @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(epred16_1 @ X53 @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(epred16_1 @ X53 @ (epred13_1 @ X53))|(epred1_1 @ X53)))&(~(epred17_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&((epred17_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred17_1 @ X53 @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(epred17_1 @ X53 @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(epred17_1 @ X53 @ (epred13_1 @ X53))|(epred1_1 @ X53)))&(~(epred18_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(epred18_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&((epred18_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred18_1 @ X53 @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(epred18_1 @ X53 @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(epred19_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(epred19_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred19_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred19_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred19_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&((epred19_1 @ X53 @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(epred20_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred20_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred20_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred20_1 @ X53 @ (epred10_1 @ X53))|(epred1_1 @ X53)))&((epred20_1 @ X53 @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(epred20_1 @ X53 @ (epred12_1 @ X53))|(epred1_1 @ X53)))&(~(epred20_1 @ X53 @ (epred13_1 @ X53))|(epred1_1 @ X53)))&(~(epred21_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(epred21_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred21_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred21_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred21_1 @ X53 @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(epred21_1 @ X53 @ (epred13_1 @ X53))|(epred1_1 @ X53)))&((epred21_1 @ X53 @ (epred12_1 @ X53))|(epred1_1 @ X53)))&(~(epred21_1 @ X53 @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(epred21_1 @ X53 @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(epred20_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred20_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(epred19_1 @ X53 @ (epred13_1 @ X53))|(epred1_1 @ X53)))&(~(epred19_1 @ X53 @ (epred12_1 @ X53))|(epred1_1 @ X53)))&(~(epred19_1 @ X53 @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(epred18_1 @ X53 @ (epred13_1 @ X53))|(epred1_1 @ X53)))&(~(epred18_1 @ X53 @ (epred12_1 @ X53))|(epred1_1 @ X53)))&(~(epred18_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred18_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred17_1 @ X53 @ (epred12_1 @ X53))|(epred1_1 @ X53)))&(~(epred17_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred17_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(epred17_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(epred16_1 @ X53 @ (epred12_1 @ X53))|(epred1_1 @ X53)))&((epred16_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred15_1 @ X53 @ (epred13_1 @ X53))|(epred1_1 @ X53)))&(~(epred15_1 @ X53 @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(epred15_1 @ X53 @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(epred14_1 @ X53 @ (epred12_1 @ X53))|(epred1_1 @ X53)))&(~(epred14_1 @ X53 @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(epred14_1 @ X53 @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(epred14_1 @ X53 @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(epred14_1 @ X53 @ (epred6_1 @ X53))|(epred1_1 @ X53)))&((epred14_1 @ X53 @ (epred5_1 @ X53))|(epred1_1 @ X53)))&((((((((((((((((((((((((((((((((((((~(X53 @ (epred6_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53))&(~(X53 @ (epred8_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred9_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred10_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred10_1 @ X53) @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred11_1 @ X53) @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred11_1 @ X53) @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred11_1 @ X53) @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred12_1 @ X53) @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred12_1 @ X53) @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred13_1 @ X53) @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred13_1 @ X53) @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred13_1 @ X53) @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred13_1 @ X53) @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred13_1 @ X53) @ (epred12_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred13_1 @ X53) @ (epred11_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred13_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred13_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred12_1 @ X53) @ (epred10_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred12_1 @ X53) @ (epred9_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred12_1 @ X53) @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred12_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred12_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred11_1 @ X53) @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred11_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred11_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred10_1 @ X53) @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred10_1 @ X53) @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred10_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred9_1 @ X53) @ (epred8_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred9_1 @ X53) @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred9_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred8_1 @ X53) @ (epred7_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred8_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred7_1 @ X53) @ (epred6_1 @ X53))|(epred1_1 @ X53)))&(~(X53 @ (epred7_1 @ X53) @ (epred5_1 @ X53))|(epred1_1 @ X53))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])). 403.95/56.22 thf(c_0_7, negated_conjecture, ![X50:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:((((X50 @ (epred3_1 @ X50) @ (epred4_1 @ X50))|(~(epred1_1 @ X50)|~(epred2_1 @ X50)))&(~(X50 @ (epred4_1 @ X50) @ (epred3_1 @ X50))|(~(epred1_1 @ X50)|~(epred2_1 @ X50))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])). 403.95/56.22 thf(c_0_8, plain, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((epred1_1 @ X1)|~((epred14_1 @ X1 @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])). 403.95/56.22 thf(c_0_9, plain, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((epred14_1 @ X1 @ (epred5_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_6])). 403.95/56.22 thf(c_0_10, plain, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((epred1_1 @ X1)|~((X1 @ (epred6_1 @ X1) @ (epred5_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])). 403.95/56.22 thf(c_0_11, negated_conjecture, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:((~((X1 @ (epred4_1 @ X1) @ (epred3_1 @ X1)))|~((epred1_1 @ X1))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])). 403.95/56.22 thf(c_0_12, plain, ![X1:($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])])). 403.95/56.22 thf(c_0_13, plain, (((epred6_1 @ $neq)=(epred5_1 @ $neq))|(epred1_1 @ $neq)), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_10])). 403.95/56.22 thf(c_0_14, plain, ![X1:($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 > $o, X11:($o > $o > $o > $o) > $o, X12:($o > $o > $o > $o) > $o, X13:($o > $o > $o > $o) > $o, X14:($o > $o > $o > $o) > $o]:(((((((((((((((((((((~((X11 @ X3))&~((X11 @ X4)))&(X12 @ X3))&~((X12 @ X5)))&~((X12 @ X6)))&~((X13 @ X2)))&~((X13 @ X3)))&(X13 @ X4))&~((X14 @ X3)))&(X14 @ X5))&~((X14 @ X6)))&~((X14 @ X4)))&~((X14 @ X2)))&~((X13 @ X6)))&~((X13 @ X5)))&~((X12 @ X4)))&~((X12 @ X2)))&~((X11 @ X6)))&~((X11 @ X5)))&(X11 @ X2))=>(~((X1 @ X4 @ X2))|~((X1 @ X5 @ X3))|~((X1 @ X5 @ X4))|~((X1 @ X6 @ X2))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X5 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X3 @ X2)))))=>(epred2_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_3])). 403.95/56.22 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])). 403.95/56.22 thf(c_0_16, plain, (epred1_1 @ $neq), inference(spm,[status(thm)],[c_0_12, c_0_13])). 403.95/56.22 thf(c_0_17, plain, ![X71:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:((((((((((((((((((((((~(epred27_1 @ X71 @ (epred23_1 @ X71))|(epred2_1 @ X71))&(~(epred27_1 @ X71 @ (epred24_1 @ X71))|(epred2_1 @ X71)))&((epred28_1 @ X71 @ (epred23_1 @ X71))|(epred2_1 @ X71)))&(~(epred28_1 @ X71 @ (epred25_1 @ X71))|(epred2_1 @ X71)))&(~(epred28_1 @ X71 @ (epred26_1 @ X71))|(epred2_1 @ X71)))&(~(epred29_1 @ X71 @ (epred22_1 @ X71))|(epred2_1 @ X71)))&(~(epred29_1 @ X71 @ (epred23_1 @ X71))|(epred2_1 @ X71)))&((epred29_1 @ X71 @ (epred24_1 @ X71))|(epred2_1 @ X71)))&(~(epred30_1 @ X71 @ (epred23_1 @ X71))|(epred2_1 @ X71)))&((epred30_1 @ X71 @ (epred25_1 @ X71))|(epred2_1 @ X71)))&(~(epred30_1 @ X71 @ (epred26_1 @ X71))|(epred2_1 @ X71)))&(~(epred30_1 @ X71 @ (epred24_1 @ X71))|(epred2_1 @ X71)))&(~(epred30_1 @ X71 @ (epred22_1 @ X71))|(epred2_1 @ X71)))&(~(epred29_1 @ X71 @ (epred26_1 @ X71))|(epred2_1 @ X71)))&(~(epred29_1 @ X71 @ (epred25_1 @ X71))|(epred2_1 @ X71)))&(~(epred28_1 @ X71 @ (epred24_1 @ X71))|(epred2_1 @ X71)))&(~(epred28_1 @ X71 @ (epred22_1 @ X71))|(epred2_1 @ X71)))&(~(epred27_1 @ X71 @ (epred26_1 @ X71))|(epred2_1 @ X71)))&(~(epred27_1 @ X71 @ (epred25_1 @ X71))|(epred2_1 @ X71)))&((epred27_1 @ X71 @ (epred22_1 @ X71))|(epred2_1 @ X71)))&(((((((((((X71 @ (epred24_1 @ X71) @ (epred22_1 @ X71))|(epred2_1 @ X71))&((X71 @ (epred25_1 @ X71) @ (epred23_1 @ X71))|(epred2_1 @ X71)))&((X71 @ (epred25_1 @ X71) @ (epred24_1 @ X71))|(epred2_1 @ X71)))&((X71 @ (epred26_1 @ X71) @ (epred22_1 @ X71))|(epred2_1 @ X71)))&((X71 @ (epred26_1 @ X71) @ (epred23_1 @ X71))|(epred2_1 @ X71)))&((X71 @ (epred26_1 @ X71) @ (epred25_1 @ X71))|(epred2_1 @ X71)))&((X71 @ (epred26_1 @ X71) @ (epred24_1 @ X71))|(epred2_1 @ X71)))&((X71 @ (epred25_1 @ X71) @ (epred22_1 @ X71))|(epred2_1 @ X71)))&((X71 @ (epred24_1 @ X71) @ (epred23_1 @ X71))|(epred2_1 @ X71)))&((X71 @ (epred23_1 @ X71) @ (epred22_1 @ X71))|(epred2_1 @ X71))))), 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])])])])])). 403.95/56.22 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])). 403.95/56.22 thf(c_0_19, negated_conjecture, (((epred4_1 @ $neq)=(epred3_1 @ $neq))|~((epred2_1 @ $neq))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])). 403.95/56.22 thf(c_0_20, plain, ![X1:($o > $o > $o > $o) > ($o > $o > $o > $o) > $o]:(((X1 @ (epred24_1 @ X1) @ (epred23_1 @ X1))|(epred2_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_17])). 403.95/56.22 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])). 403.95/56.22 thf(c_0_22, plain, ((epred24_1 @ $neq)!=(epred23_1 @ $neq)), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_20]), c_0_21])). 403.95/56.22 thf(c_0_23, plain, ((epred24_1 @ $neq @ ((esk219_0)) @ ((esk220_0)) @ ((esk221_0)))<~>(epred23_1 @ $neq @ ((esk219_0)) @ ((esk220_0)) @ ((esk221_0)))), inference(neg_ext,[status(thm)],[c_0_22])). 403.95/56.22 thf(c_0_24, plain, (~((epred521_0))|~((epred526_0))), inference(dynamic_cnf,[status(thm)],[c_0_23])). 403.95/56.22 thf(c_0_25, plain, (epred521_0), inference(dynamic_cnf,[status(thm)],[c_0_23])). 403.95/56.22 thf(c_0_26, plain, (epred526_0), inference(dynamic_cnf,[status(thm)],[c_0_23])). 403.95/56.22 thf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])]), c_0_26])]), ['proof']). 403.95/56.22 % SZS output end CNFRefutation 403.95/56.22 % Parsed axioms : 1 403.95/56.22 % Removed by relevancy pruning/SinE : 0 403.95/56.22 % Initial clauses : 140 403.95/56.22 % Removed in clause preprocessing : 0 403.95/56.22 % Initial clauses in saturation : 140 403.95/56.22 % Processed clauses : 673 403.95/56.22 % ...of these trivial : 33 403.95/56.22 % ...subsumed : 103 403.95/56.22 % ...remaining for further processing : 536 403.95/56.22 % Other redundant clauses eliminated : 80 403.95/56.22 % Clauses deleted for lack of memory : 0 403.95/56.22 % Backward-subsumed : 9 403.95/56.22 % Backward-rewritten : 7 403.95/56.22 % Generated clauses : 2373 403.95/56.22 % ...of the previous two non-redundant : 1628 403.95/56.22 % ...aggressively subsumed : 0 403.95/56.22 % Contextual simplify-reflections : 2 403.95/56.22 % Paramodulations : 35 403.95/56.22 % Factorizations : 0 403.95/56.22 % NegExts : 454 403.95/56.22 % Equation resolutions : 80 403.95/56.22 % Disequality decompositions : 0 403.95/56.22 % Total rewrite steps : 103 403.95/56.22 % ...of those cached : 99 403.95/56.22 % Propositional unsat checks : 0 403.95/56.22 % Propositional check models : 0 403.95/56.22 % Propositional check unsatisfiable : 0 403.95/56.22 % Propositional clauses : 0 403.95/56.22 % Propositional clauses after purity: 0 403.95/56.22 % Propositional unsat core size : 0 403.95/56.22 % Propositional preprocessing time : 0.000 403.95/56.22 % Propositional encoding time : 0.000 403.95/56.22 % Propositional solver time : 0.000 403.95/56.22 % Success case prop preproc time : 0.000 403.95/56.22 % Success case prop encoding time : 0.000 403.95/56.22 % Success case prop solver time : 0.000 403.95/56.22 % Current number of processed clauses : 371 403.95/56.22 % Positive orientable unit clauses : 4 403.95/56.22 % Positive unorientable unit clauses: 0 403.95/56.22 % Negative unit clauses : 144 403.95/56.22 % Non-unit-clauses : 223 403.95/56.22 % Current number of unprocessed clauses: 1221 403.95/56.22 % ...number of literals in the above : 3965 403.95/56.22 % Current number of archived formulas : 0 403.95/56.22 % Current number of archived clauses : 165 403.95/56.22 % Clause-clause subsumption calls (NU) : 3977 403.95/56.22 % Rec. Clause-clause subsumption calls : 3577 403.95/56.22 % Non-unit clause-clause subsumptions : 56 403.95/56.22 % Unit Clause-clause subsumption calls : 1066 403.95/56.22 % Rewrite failures with RHS unbound : 0 403.95/56.22 % BW rewrite match attempts : 3 403.95/56.22 % BW rewrite match successes : 3 403.95/56.22 % Condensation attempts : 0 403.95/56.22 % Condensation successes : 0 403.95/56.22 % Termbank termtop insertions : 205986 403.95/56.22 % Search garbage collected termcells : 3206 403.95/56.22 403.95/56.22 % ------------------------------------------------- 403.95/56.22 % User time : 54.943 s 403.95/56.22 % System time : 0.195 s 403.95/56.22 % Total time : 55.138 s 403.95/56.22 % Maximum resident set size: 4212 pages 403.95/56.22 403.95/56.22 % ------------------------------------------------- 403.95/56.22 % User time : 164.320 s 403.95/56.22 % System time : 0.812 s 403.95/56.22 % Total time : 165.132 s 403.95/56.22 % Maximum resident set size: 4864 pages 403.95/56.22 % E exiting 403.95/56.22 EOF