0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.09/0.36 % Computer : n002.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 10:07:13 UTC 2026 0.09/0.36 % CPUTime : 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.14/0.41 Running higher-order theorem proving 0.14/0.42 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.5NSpUTenq6/E---3.1_3196746.p 0.14/0.45 % Version: 3.5.1-ho 0.14/0.45 % Preprocessing class: HSSSSMSSSSMCHSA. 0.14/0.45 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.45 % Starting lpo8_s with 900s (5) cores 0.14/0.45 % Starting ehoh_best_nonlift_rwall with 180s (1) cores 0.14/0.45 % Starting ehoh_best_sine_rwall with 180s (1) cores 0.14/0.45 % Starting sh1 with 180s (1) cores 0.14/0.45 % lpo8_s with pid 3196759 completed with status 0 0.14/0.45 % Result found by lpo8_s 0.14/0.45 % Preprocessing class: HSSSSMSSSSMCHSA. 0.14/0.45 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.45 % Starting lpo8_s with 900s (5) cores 0.14/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)) 0.14/0.45 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.14/0.45 % Search class: HGUSF-FFMF11-SHSFFFBC 0.14/0.45 % partial match(3): HGUSF-FFMF33-SHSFFMBC 0.14/0.45 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 0.14/0.45 % Starting SubtermCWHack with 91s (1) cores 0.14/0.45 % Starting lpo8_s with 541s (1) cores 0.14/0.45 % Starting ehoh_best_nonlift_rwall with 91s (1) cores 0.14/0.45 % Starting ehoh_best_sine_rwall with 91s (1) cores 0.14/0.45 % Starting sh1 with 86s (1) cores 0.14/0.45 % ehoh_best_sine_rwall with pid 3196768 completed with status 0 0.14/0.45 % Result found by ehoh_best_sine_rwall 0.14/0.45 % Preprocessing class: HSSSSMSSSSMCHSA. 0.14/0.45 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.45 % Starting lpo8_s with 900s (5) cores 0.14/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)) 0.14/0.45 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.14/0.45 % Search class: HGUSF-FFMF11-SHSFFFBC 0.14/0.45 % partial match(3): HGUSF-FFMF33-SHSFFMBC 0.14/0.45 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 0.14/0.45 % Starting SubtermCWHack with 91s (1) cores 0.14/0.45 % Starting lpo8_s with 541s (1) cores 0.14/0.45 % Starting ehoh_best_nonlift_rwall with 91s (1) cores 0.14/0.45 % Starting ehoh_best_sine_rwall with 91s (1) cores 0.14/0.45 % Preprocessing time : 0.001 s 0.14/0.45 % Presaturation interreduction done 0.14/0.45 0.14/0.45 % Proof found! 0.14/0.45 % SZS status Theorem 0.14/0.45 % SZS output start CNFRefutation 0.14/0.45 thf(decl_23, type, eps: ($i > $o) > $i). 0.14/0.45 thf(decl_24, type, case: ($o > $o) > $i > $i > $i > $i > $i). 0.14/0.45 thf(decl_25, type, f: $o > $o). 0.14/0.45 thf(decl_26, type, esk1_0: $i). 0.14/0.45 thf(decl_27, type, esk2_0: $i). 0.14/0.45 thf(decl_28, type, esk3_0: $i). 0.14/0.45 thf(decl_29, type, esk4_0: $i). 0.14/0.45 thf(decl_30, type, epred1_0: $i > $o). 0.14/0.45 thf(decl_31, type, epred2_1: $i > $o). 0.14/0.45 thf(decl_32, type, epred3_1: $i > $o). 0.14/0.45 thf(decl_33, type, epred4_1: $i > $o). 0.14/0.45 thf(decl_34, type, esk5_0: $o). 0.14/0.45 thf(choiceax, axiom, ![X8:$i > $o]:(((X8 @ (eps @ X8))<=?[X2:$i]:((X8 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.5NSpUTenq6/E---3.1_3196746.p', choiceax)). 0.14/0.45 thf(conj, conjecture, ![X2:$i, X3:$i, X4:$i, X5:$i]:((((case @ f @ X2 @ X3 @ X4 @ X5)=(X3))|((case @ f @ X2 @ X3 @ X4 @ X5)=(X4))|((case @ f @ X2 @ X3 @ X4 @ X5)=(X5))|((case @ f @ X2 @ X3 @ X4 @ X5)=(X2)))), file('/export/starexec/sandbox/tmp/tmp.5NSpUTenq6/E---3.1_3196746.p', conj)). 0.14/0.45 thf(caseood, axiom, ((case)=(^[X1:$o > $o, X2:$i, X3:$i, X4:$i, X5:$i]:(eps @ (^[X6:$i]:(((((((((((X1)=(^[X7:$o]:(~($true)))))&(((X6)=(X2)))))|(((((X1)=($not)))&(((X6)=(X3)))))))|(((((X1)=(^[X7:$o]:((X7)))))&(((X6)=(X4)))))))|(((((X1)=(^[X7:$o]:(($true)))))&(((X6)=(X5))))))))))), file('/export/starexec/sandbox/tmp/tmp.5NSpUTenq6/E---3.1_3196746.p', caseood)). 0.14/0.45 thf(c_0_3, plain, ![X49:$i, X50:$o, X51:$o, X52:$o]:((((((((((~(f @ ((X52)))|($true)|(~(f @ ((X51)))|(X51)|(((f)=($not))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(f @ ((X51)))|(X51)|(((f)=($not))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f @ ((X51)))|(X51)|(((f)=($not))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((~(f @ ((X52)))|($true)|(~(X51)|(f @ ((X51)))|(((f)=($not))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(X51)|(f @ ((X51)))|(((f)=($not))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f @ ((X51)))|(((f)=($not))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49))))&(((~(f @ ((X52)))|($true)|(((X49)=(esk3_0))|(((f)=($not))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(((X49)=(esk3_0))|(((f)=($not))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((f)=($not))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49))))&(((((~(f @ ((X52)))|($true)|(~(f @ ((X51)))|(X51)|(((X49)=(esk2_0))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(f @ ((X51)))|(X51)|(((X49)=(esk2_0))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f @ ((X51)))|(X51)|(((X49)=(esk2_0))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((~(f @ ((X52)))|($true)|(~(X51)|(f @ ((X51)))|(((X49)=(esk2_0))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(X51)|(f @ ((X51)))|(((X49)=(esk2_0))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f @ ((X51)))|(((X49)=(esk2_0))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49))))&(((~(f @ ((X52)))|($true)|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(~(f @ ((X50)))|~($true))))|~(epred1_0 @ X49)))))&((((((~(f @ ((X52)))|($true)|(~(f @ ((X51)))|(X51)|(((f)=($not))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(f @ ((X51)))|(X51)|(((f)=($not))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f @ ((X51)))|(X51)|(((f)=($not))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49)))&(((~(f @ ((X52)))|($true)|(~(X51)|(f @ ((X51)))|(((f)=($not))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(X51)|(f @ ((X51)))|(((f)=($not))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f @ ((X51)))|(((f)=($not))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))))&(((~(f @ ((X52)))|($true)|(((X49)=(esk3_0))|(((f)=($not))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(((X49)=(esk3_0))|(((f)=($not))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((f)=($not))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))))&(((((~(f @ ((X52)))|($true)|(~(f @ ((X51)))|(X51)|(((X49)=(esk2_0))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(f @ ((X51)))|(X51)|(((X49)=(esk2_0))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f @ ((X51)))|(X51)|(((X49)=(esk2_0))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49)))&(((~(f @ ((X52)))|($true)|(~(X51)|(f @ ((X51)))|(((X49)=(esk2_0))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(X51)|(f @ ((X51)))|(((X49)=(esk2_0))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f @ ((X51)))|(((X49)=(esk2_0))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))))&(((~(f @ ((X52)))|($true)|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(($true)|(f @ ((X50))))))|~(epred1_0 @ X49))))))&((((((~(f @ ((X52)))|($true)|(~(f @ ((X51)))|(X51)|(((f)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(f @ ((X51)))|(X51)|(((f)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f @ ((X51)))|(X51)|(((f)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((~(f @ ((X52)))|($true)|(~(X51)|(f @ ((X51)))|(((f)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(X51)|(f @ ((X51)))|(((f)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f @ ((X51)))|(((f)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))))&(((~(f @ ((X52)))|($true)|(((X49)=(esk3_0))|(((f)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(((X49)=(esk3_0))|(((f)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((f)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))))&(((((~(f @ ((X52)))|($true)|(~(f @ ((X51)))|(X51)|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(f @ ((X51)))|(X51)|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f @ ((X51)))|(X51)|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((~(f @ ((X52)))|($true)|(~(X51)|(f @ ((X51)))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(~(X51)|(f @ ((X51)))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f @ ((X51)))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))))&(((~(f @ ((X52)))|($true)|(((X49)=(esk3_0))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f @ ((X52)))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))))))&(((((((~(epred2_1 @ X49)|(epred2_1 @ X49)|($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))&(~(f @ $false)|(epred2_1 @ X49)|($true)|((X49)!=(esk1_0))|(epred1_0 @ X49)))&((~(epred2_1 @ X49)|~(f @ $true)|($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))&(~(f @ $false)|~(f @ $true)|($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))))&((~(epred2_1 @ X49)|(f @ $true)|~($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))&((epred2_1 @ X49)|(f @ $false)|~($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))))&(((f)!=($not))|((X49)!=(esk2_0))|(epred1_0 @ X49)))&((((~(epred3_1 @ X49)|(epred3_1 @ X49)|~(epred3_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49))&(~(f @ $false)|(epred3_1 @ X49)|~(epred3_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49)))&((~(epred3_1 @ X49)|~(f @ $true)|~(epred3_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49))&(~(f @ $false)|~(f @ $true)|~(epred3_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49))))&((~(epred3_1 @ X49)|(f @ $true)|(epred3_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49))&((epred3_1 @ X49)|(f @ $false)|(epred3_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49)))))&((((~(epred4_1 @ X49)|(epred4_1 @ X49)|~($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))&(~(f @ $false)|(epred4_1 @ X49)|~($true)|((X49)!=(esk4_0))|(epred1_0 @ X49)))&((~(epred4_1 @ X49)|~(f @ $true)|~($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))&(~(f @ $false)|~(f @ $true)|~($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))))&((~(epred4_1 @ X49)|(f @ $true)|($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))&((epred4_1 @ X49)|(f @ $false)|($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])])])). 0.14/0.45 thf(c_0_4, plain, ![X8:$i > $o]:((?[X2:$i]:((X8 @ X2))=>(X8 @ (eps @ X8)))), inference(fof_simplification,[status(thm)],[choiceax])). 0.14/0.45 thf(c_0_5, plain, ![X2:$i]:(((epred1_0 @ X2)|~((f @ (~($true))))|~((f @ (($true))))|~(($true))|((X2)!=(esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.45 thf(c_0_6, negated_conjecture, ~(![X2:$i, X3:$i, X4:$i, X5:$i]:((((case @ f @ X2 @ X3 @ X4 @ X5)=(X3))|((case @ f @ X2 @ X3 @ X4 @ X5)=(X4))|((case @ f @ X2 @ X3 @ X4 @ X5)=(X5))|((case @ f @ X2 @ X3 @ X4 @ X5)=(X2))))), inference(assume_negation,[status(cth)],[conj])). 0.14/0.45 thf(c_0_7, plain, ((case)=(^[Z0:$o > $o, Z1:$i, Z2:$i, Z3:$i, Z4:$i]:(eps @ (^[Z5:$i]:(((((((((((Z0)=(^[Z6:$o]:(~($true)))))&(((Z5)=(Z1)))))|(((((Z0)=($not)))&(((Z5)=(Z2)))))))|(((((Z0)=(^[Z6:$o]:((Z6)))))&(((Z5)=(Z3)))))))|(((((Z0)=(^[Z6:$o]:(($true)))))&((Z5)))))))))), inference(fof_simplification,[status(thm)],[caseood])). 0.14/0.45 thf(c_0_8, plain, ![X31:$i > $o, X32:$i]:((~(X31 @ X32)|(X31 @ (eps @ X31)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])). 0.14/0.45 thf(c_0_9, plain, ![X2:$i]:(((epred1_0 @ X2)|((X2)!=(esk4_0))|~((f @ (($true))))|~((f @ (~($true)))))), inference(cn,[status(thm)],[c_0_5])). 0.14/0.45 thf(c_0_10, negated_conjecture, ~(![X2:$i, X3:$i, X4:$i, X5:$i]:((((eps @ (^[Z0:$i]:(((((((((![X15:$o]:((((f @ ((X15))))<=>(~($true)))))&(((Z0)=(X2)))))|(((((f)=($not)))&(((Z0)=(X3)))))))|(((![X16:$o]:((((f @ ((X16))))<=>((X16)))))&(((Z0)=(X4)))))))|(((![X17:$o]:((((f @ ((X17))))<=>($true))))&(((Z0)=(X5)))))))))=(X3))|((eps @ (^[Z0:$i]:(((((((((![X18:$o]:((((f @ ((X18))))<=>(~($true)))))&(((Z0)=(X2)))))|(((((f)=($not)))&(((Z0)=(X3)))))))|(((![X19:$o]:((((f @ ((X19))))<=>((X19)))))&(((Z0)=(X4)))))))|(((![X20:$o]:((((f @ ((X20))))<=>($true))))&(((Z0)=(X5)))))))))=(X4))|((eps @ (^[Z0:$i]:(((((((((![X21:$o]:((((f @ ((X21))))<=>(~($true)))))&(((Z0)=(X2)))))|(((((f)=($not)))&(((Z0)=(X3)))))))|(((![X22:$o]:((((f @ ((X22))))<=>((X22)))))&(((Z0)=(X4)))))))|(((![X23:$o]:((((f @ ((X23))))<=>($true))))&(((Z0)=(X5)))))))))=(X5))|((eps @ (^[Z0:$i]:(((((((((![X24:$o]:((((f @ ((X24))))<=>(~($true)))))&(((Z0)=(X2)))))|(((((f)=($not)))&(((Z0)=(X3)))))))|(((![X25:$o]:((((f @ ((X25))))<=>((X25)))))&(((Z0)=(X4)))))))|(((![X26:$o]:((((f @ ((X26))))<=>($true))))&(((Z0)=(X5)))))))))=(X2))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6, c_0_7])])). 0.14/0.45 thf(c_0_11, plain, ![X2:$i]:(((epred1_0 @ X2)|~((epred3_1 @ X2))|~((f @ (($true))))|~((epred3_1 @ X2))|((X2)!=(esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.45 thf(c_0_12, plain, ![X2:$i]:(((epred3_1 @ X2)|(f @ (~($true)))|(epred3_1 @ X2)|(epred1_0 @ X2)|((X2)!=(esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.45 thf(c_0_13, plain, ![X8:$i > $o, X2:$i]:(((X8 @ (eps @ X8))|~((X8 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.14/0.45 thf(c_0_14, plain, ((epred1_0 @ esk4_0)|~((f @ (($true))))|~((f @ (~($true))))), inference(er,[status(thm)],[c_0_9])). 0.14/0.45 thf(c_0_15, negated_conjecture, (((((eps @ (^[Z0:$i]:(((((((((![X15:$o]:((((f @ ((X15))))<=>(~($true)))))&(((Z0)=(esk1_0)))))|(((((f)=($not)))&(((Z0)=(esk2_0)))))))|(((![X16:$o]:((((f @ ((X16))))<=>((X16)))))&(((Z0)=(esk3_0)))))))|(((![X17:$o]:((((f @ ((X17))))<=>($true))))&(((Z0)=(esk4_0)))))))))!=(esk2_0))&((eps @ (^[Z0:$i]:(((((((((![X18:$o]:((((f @ ((X18))))<=>(~($true)))))&(((Z0)=(esk1_0)))))|(((((f)=($not)))&(((Z0)=(esk2_0)))))))|(((![X19:$o]:((((f @ ((X19))))<=>((X19)))))&(((Z0)=(esk3_0)))))))|(((![X20:$o]:((((f @ ((X20))))<=>($true))))&(((Z0)=(esk4_0)))))))))!=(esk3_0)))&((eps @ (^[Z0:$i]:(((((((((![X21:$o]:((((f @ ((X21))))<=>(~($true)))))&(((Z0)=(esk1_0)))))|(((((f)=($not)))&(((Z0)=(esk2_0)))))))|(((![X22:$o]:((((f @ ((X22))))<=>((X22)))))&(((Z0)=(esk3_0)))))))|(((![X23:$o]:((((f @ ((X23))))<=>($true))))&(((Z0)=(esk4_0)))))))))!=(esk4_0)))&((eps @ (^[Z0:$i]:(((((((((![X24:$o]:((((f @ ((X24))))<=>(~($true)))))&(((Z0)=(esk1_0)))))|(((((f)=($not)))&(((Z0)=(esk2_0)))))))|(((![X25:$o]:((((f @ ((X25))))<=>((X25)))))&(((Z0)=(esk3_0)))))))|(((![X26:$o]:((((f @ ((X26))))<=>($true))))&(((Z0)=(esk4_0)))))))))!=(esk1_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])). 0.14/0.45 thf(c_0_16, plain, ![X36:$i]:(((epred1_0 @ X36)<=>((![X33:$o]:(((f @ ((X33)))<=>~(($true))))&((X36)=(esk1_0)))|(((f)=($not))&((X36)=(esk2_0)))|(![X34:$o]:(((f @ ((X34)))<=>(X34)))&((X36)=(esk3_0)))|(![X35:$o]:(((f @ ((X35)))<=>($true)))&((X36)=(esk4_0)))))), introduced(definition)). 0.14/0.45 thf(c_0_17, plain, ![X2:$i]:(((epred1_0 @ X2)|((X2)!=(esk3_0))|~((epred3_1 @ X2))|~((f @ (($true)))))), inference(cn,[status(thm)],[c_0_11])). 0.14/0.45 thf(c_0_18, plain, ![X2:$i]:(((epred1_0 @ X2)|(epred3_1 @ X2)|(f @ (~($true)))|((X2)!=(esk3_0)))), inference(cn,[status(thm)],[c_0_12])). 0.14/0.45 thf(c_0_19, plain, ![X2:$i]:((((X2)=(esk4_0))|((X2)=(esk3_0))|((X2)=(esk2_0))|((X2)=(esk1_0))|~((epred1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.45 thf(c_0_20, plain, ((epred1_0 @ (eps @ epred1_0))|~((f @ (($true))))|~((f @ (~($true))))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.14/0.45 thf(c_0_21, negated_conjecture, ((eps @ epred1_0)!=(esk1_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_15]), c_0_16])). 0.14/0.45 thf(c_0_22, negated_conjecture, ((eps @ epred1_0)!=(esk2_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_15]), c_0_16])). 0.14/0.45 thf(c_0_23, negated_conjecture, ((eps @ epred1_0)!=(esk3_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_15]), c_0_16])). 0.14/0.45 thf(c_0_24, negated_conjecture, ((eps @ epred1_0)!=(esk4_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_15]), c_0_16])). 0.14/0.45 thf(c_0_25, plain, ((epred1_0 @ esk3_0)|~((f @ (($true))))|~((epred3_1 @ esk3_0))), inference(er,[status(thm)],[c_0_17])). 0.14/0.45 thf(c_0_26, plain, ((epred1_0 @ esk3_0)|(epred3_1 @ esk3_0)|(f @ (~($true)))), inference(er,[status(thm)],[c_0_18])). 0.14/0.45 thf(c_0_27, plain, (~((f @ (($true))))|~((f @ (~($true))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])). 0.14/0.45 thf(c_0_28, plain, ![X2:$i]:(((f @ (($true)))|(epred1_0 @ X2)|~((epred2_1 @ X2))|~(($true))|((X2)!=(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.45 thf(c_0_29, plain, ![X2:$i]:(((epred2_1 @ X2)|(f @ (~($true)))|(epred1_0 @ X2)|~(($true))|((X2)!=(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.45 thf(c_0_30, plain, ((epred1_0 @ esk3_0)|~((f @ (($true))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])). 0.14/0.45 thf(c_0_31, plain, ![X2:$i]:(((epred1_0 @ X2)|(f @ (($true)))|((X2)!=(esk1_0))|~((epred2_1 @ X2)))), inference(cn,[status(thm)],[c_0_28])). 0.14/0.45 thf(c_0_32, plain, ![X2:$i]:(((epred1_0 @ X2)|(epred2_1 @ X2)|(f @ (~($true)))|((X2)!=(esk1_0)))), inference(cn,[status(thm)],[c_0_29])). 0.14/0.45 thf(c_0_33, plain, ((epred1_0 @ (eps @ epred1_0))|~((f @ (($true))))), inference(spm,[status(thm)],[c_0_13, c_0_30])). 0.14/0.45 thf(c_0_34, plain, ![X2:$i]:(((epred1_0 @ X2)|((f)!=($not))|((X2)!=(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.45 thf(c_0_35, plain, ((epred1_0 @ esk1_0)|(f @ (($true)))|~((epred2_1 @ esk1_0))), inference(er,[status(thm)],[c_0_31])). 0.14/0.45 thf(c_0_36, plain, ((epred1_0 @ esk1_0)|(epred2_1 @ esk1_0)|(f @ (~($true)))), inference(er,[status(thm)],[c_0_32])). 0.14/0.45 thf(c_0_37, plain, ~((f @ (($true)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_33]), c_0_21]), c_0_22]), c_0_23]), c_0_24])). 0.14/0.45 thf(c_0_38, plain, ((epred1_0 @ esk2_0)|(($not)!=(f))), inference(er,[status(thm)],[c_0_34])). 0.14/0.45 thf(c_0_39, plain, ((f @ (~($true)))|(epred1_0 @ esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])). 0.14/0.45 thf(c_0_40, plain, ((epred1_0 @ esk2_0)|(~((esk5_0))<~>(f @ ((esk5_0))))), inference(neg_ext,[status(thm)],[c_0_38])). 0.14/0.45 thf(c_0_41, plain, ((epred1_0 @ (eps @ epred1_0))|(f @ (~($true)))), inference(spm,[status(thm)],[c_0_13, c_0_39])). 0.14/0.45 thf(c_0_42, plain, ((epred1_0 @ esk2_0)|(esk5_0)|~((f @ (~($true))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_40])])). 0.14/0.45 thf(c_0_43, plain, (f @ (~($true))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_41]), c_0_21]), c_0_22]), c_0_23]), c_0_24])). 0.14/0.45 thf(c_0_44, plain, ((epred1_0 @ esk2_0)|(esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])). 0.14/0.45 thf(c_0_45, plain, ((epred1_0 @ (eps @ epred1_0))|(esk5_0)), inference(spm,[status(thm)],[c_0_13, c_0_44])). 0.14/0.45 thf(c_0_46, plain, ((epred1_0 @ esk2_0)|(f @ (($true)))|~((esk5_0))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_40])])). 0.14/0.45 thf(c_0_47, plain, (esk5_0), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_45]), c_0_21]), c_0_22]), c_0_23]), c_0_24])). 0.14/0.45 thf(c_0_48, plain, (epred1_0 @ esk2_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])]), c_0_37])). 0.14/0.45 thf(c_0_49, plain, (epred1_0 @ (eps @ epred1_0)), inference(spm,[status(thm)],[c_0_13, c_0_48])). 0.14/0.45 thf(c_0_50, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_49]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), ['proof']). 0.14/0.45 % SZS output end CNFRefutation 0.14/0.45 % Parsed axioms : 6 0.14/0.45 % Removed by relevancy pruning/SinE : 3 0.14/0.45 % Initial clauses : 78 0.14/0.45 % Removed in clause preprocessing : 40 0.14/0.45 % Initial clauses in saturation : 38 0.14/0.45 % Processed clauses : 91 0.14/0.45 % ...of these trivial : 0 0.14/0.45 % ...subsumed : 8 0.14/0.45 % ...remaining for further processing : 83 0.14/0.45 % Other redundant clauses eliminated : 9 0.14/0.45 % Clauses deleted for lack of memory : 0 0.14/0.45 % Backward-subsumed : 9 0.14/0.45 % Backward-rewritten : 12 0.14/0.45 % Generated clauses : 72 0.14/0.45 % ...of the previous two non-redundant : 54 0.14/0.45 % ...aggressively subsumed : 0 0.14/0.45 % Contextual simplify-reflections : 1 0.14/0.45 % Paramodulations : 27 0.14/0.45 % Factorizations : 0 0.14/0.45 % NegExts : 1 0.14/0.45 % Equation resolutions : 9 0.14/0.45 % Disequality decompositions : 0 0.14/0.45 % Total rewrite steps : 13 0.14/0.45 % ...of those cached : 9 0.14/0.45 % Propositional unsat checks : 0 0.14/0.45 % Propositional check models : 0 0.14/0.45 % Propositional check unsatisfiable : 0 0.14/0.45 % Propositional clauses : 0 0.14/0.45 % Propositional clauses after purity: 0 0.14/0.45 % Propositional unsat core size : 0 0.14/0.45 % Propositional preprocessing time : 0.000 0.14/0.45 % Propositional encoding time : 0.000 0.14/0.45 % Propositional solver time : 0.000 0.14/0.45 % Success case prop preproc time : 0.000 0.14/0.45 % Success case prop encoding time : 0.000 0.14/0.45 % Success case prop solver time : 0.000 0.14/0.45 % Current number of processed clauses : 15 0.14/0.45 % Positive orientable unit clauses : 4 0.14/0.45 % Positive unorientable unit clauses: 0 0.14/0.45 % Negative unit clauses : 5 0.14/0.45 % Non-unit-clauses : 6 0.14/0.45 % Current number of unprocessed clauses: 33 0.14/0.45 % ...number of literals in the above : 140 0.14/0.45 % Current number of archived formulas : 0 0.14/0.45 % Current number of archived clauses : 59 0.14/0.45 % Clause-clause subsumption calls (NU) : 237 0.14/0.45 % Rec. Clause-clause subsumption calls : 102 0.14/0.45 % Non-unit clause-clause subsumptions : 14 0.14/0.45 % Unit Clause-clause subsumption calls : 15 0.14/0.45 % Rewrite failures with RHS unbound : 0 0.14/0.45 % BW rewrite match attempts : 3 0.14/0.45 % BW rewrite match successes : 3 0.14/0.45 % Condensation attempts : 0 0.14/0.45 % Condensation successes : 0 0.14/0.45 % Termbank termtop insertions : 6711 0.14/0.45 % Search garbage collected termcells : 1167 0.14/0.45 0.14/0.45 % ------------------------------------------------- 0.14/0.45 % User time : 0.007 s 0.14/0.45 % System time : 0.005 s 0.14/0.45 % Total time : 0.012 s 0.14/0.45 % Maximum resident set size: 3896 pages 0.14/0.45 0.14/0.45 % ------------------------------------------------- 0.14/0.45 % User time : 0.027 s 0.14/0.45 % System time : 0.014 s 0.14/0.45 % Total time : 0.042 s 0.14/0.45 % Maximum resident set size: 4864 pages 0.14/0.45 % E exiting 0.14/0.45 EOF