0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.09/0.32 % Computer : n007.cluster.edu 0.09/0.32 % Model : x86_64 x86_64 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.32 % Memory : 8042.1875MB 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.32 % CPULimit : 1920 0.09/0.32 % WCLimit : 240 0.09/0.32 % DateTime : Wed Jul 30 03:26:04 EDT 2025 0.09/0.32 % CPUTime : 0.15/0.45 Running higher-order theorem proving 0.15/0.46 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=240 /export/starexec/sandbox/tmp/tmp.HRZIpu4DIB/E---3.1_9577.p 0.35/0.53 # Version: 3.0.0-ho 0.35/0.53 # Preprocessing class: HSSSSMSSSSMCHSA. 0.35/0.53 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.35/0.53 # Starting lpo8_s with 1200s (5) cores 0.35/0.53 # Starting ehoh_best_nonlift_rwall with 240s (1) cores 0.35/0.53 # Starting ehoh_best_sine_rwall with 240s (1) cores 0.35/0.53 # Starting sh1 with 240s (1) cores 0.35/0.53 # lpo8_s with pid 9655 completed with status 0 0.35/0.53 # Result found by lpo8_s 0.35/0.53 # Preprocessing class: HSSSSMSSSSMCHSA. 0.35/0.53 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.35/0.53 # Starting lpo8_s with 1200s (5) cores 0.35/0.53 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.35/0.53 # Search class: HGUSF-FFMF11-SHSFFFBC 0.35/0.53 # partial match(3): HGUSF-FFMF33-SHSFFMBC 0.35/0.53 # Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total) 0.35/0.53 # Starting lpo8_s with 721s (1) cores 0.35/0.53 # Starting ehoh_best_nonlift_rwall with 121s (1) cores 0.35/0.53 # Starting ehoh_best_sine_rwall with 121s (1) cores 0.35/0.53 # Starting sh1 with 121s (1) cores 0.35/0.53 # Starting sh8 with 116s (1) cores 0.35/0.53 # ehoh_best_nonlift_rwall with pid 9663 completed with status 0 0.35/0.53 # Result found by ehoh_best_nonlift_rwall 0.35/0.53 # Preprocessing class: HSSSSMSSSSMCHSA. 0.35/0.53 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.35/0.53 # Starting lpo8_s with 1200s (5) cores 0.35/0.53 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.35/0.53 # Search class: HGUSF-FFMF11-SHSFFFBC 0.35/0.53 # partial match(3): HGUSF-FFMF33-SHSFFMBC 0.35/0.53 # Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total) 0.35/0.53 # Starting lpo8_s with 721s (1) cores 0.35/0.53 # Starting ehoh_best_nonlift_rwall with 121s (1) cores 0.35/0.53 # Preprocessing time : 0.002 s 0.35/0.53 # Presaturation interreduction done 0.35/0.53 0.35/0.53 # Proof found! 0.35/0.53 # SZS status Theorem 0.35/0.53 # SZS output start CNFRefutation 0.35/0.53 thf(decl_23, type, eps: ($i > $o) > $i). 0.35/0.53 thf(decl_24, type, case: ($o > $o) > $i > $i > $i > $i > $i). 0.35/0.53 thf(decl_25, type, f: $o > $o). 0.35/0.53 thf(decl_26, type, esk1_0: $i). 0.35/0.53 thf(decl_27, type, esk2_0: $i). 0.35/0.53 thf(decl_28, type, esk3_0: $i). 0.35/0.53 thf(decl_29, type, esk4_0: $i). 0.35/0.53 thf(decl_30, type, epred1_0: $i > $o). 0.35/0.53 thf(decl_31, type, epred2_1: $i > $o). 0.35/0.53 thf(decl_32, type, epred3_1: $i > $o). 0.35/0.53 thf(decl_33, type, epred4_1: $i > $o). 0.35/0.53 thf(decl_34, type, esk5_0: $o). 0.35/0.53 thf(choiceax, axiom, ![X8:$i > $o]:(((X8 @ (eps @ X8))<=?[X2:$i]:((X8 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.HRZIpu4DIB/E---3.1_9577.p', choiceax)). 0.35/0.53 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.HRZIpu4DIB/E---3.1_9577.p', caseood)). 0.35/0.53 thf(conj, conjecture, ![X2:$i, X3:$i, X4:$i, X5:$i]:((((case @ f @ X2 @ X3 @ X4 @ X5)=(X4))|((case @ f @ X2 @ X3 @ X4 @ X5)=(X5))|((case @ f @ X2 @ X3 @ X4 @ X5)=(X3))|((case @ f @ X2 @ X3 @ X4 @ X5)=(X2)))), file('/export/starexec/sandbox/tmp/tmp.HRZIpu4DIB/E---3.1_9577.p', conj)). 0.35/0.53 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)],[])])])])])])])). 0.35/0.53 thf(c_0_4, plain, ![X8:$i > $o]:((?[X2:$i]:((X8 @ X2))=>(X8 @ (eps @ X8)))), inference(fof_simplification,[status(thm)],[choiceax])). 0.35/0.53 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])). 0.35/0.53 thf(c_0_6, plain, ((case)=(^[Z0/* 19 */:$o > $o, Z1:$i, Z2:$i, Z3:$i, Z4:$i]:(eps @ (^[Z5/* 9 */:$i]:(((((((Z0)=(^[Z6/* 4 */:$o]:(~($true))))&((Z5)=(Z1)))|(((Z0)=($not))&((Z5)=(Z2))))|(((Z0)=(^[Z6/* 3 */:$o]:((Z6))))&((Z5)=(Z3))))|(((Z0)=(^[Z6/* 3 */:$o]:(($true))))&(Z5)))))))), inference(fof_simplification,[status(thm)],[caseood])). 0.35/0.53 thf(c_0_7, 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])])])])). 0.35/0.53 thf(c_0_8, plain, ![X2:$i]:(((epred1_0 @ X2)|((X2)!=(esk4_0))|~((f @ (($true))))|~((f @ (~($true)))))), inference(cn,[status(thm)],[c_0_5])). 0.35/0.53 thf(c_0_9, negated_conjecture, ~(![X2:$i, X3:$i, X4:$i, X5:$i]:((((eps @ (^[Z0/* 9 */:$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)))))))=(X4))|((eps @ (^[Z0/* 9 */:$i]:(((((![X18:$o]:(((f @ ((X18)))<=>~($true)))&((Z0)=(X2)))|(((f)=($not))&((Z0)=(X3))))|(![X19:$o]:(((f @ ((X19)))<=>(X19)))&((Z0)=(X4))))|(![X20:$o]:(((f @ ((X20)))<=>$true))&((Z0)=(X5)))))))=(X5))|((eps @ (^[Z0/* 9 */:$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)))))))=(X3))|((eps @ (^[Z0/* 9 */:$i]:(((((![X24:$o]:(((f @ ((X24)))<=>~($true)))&((Z0)=(X2)))|(((f)=($not))&((Z0)=(X3))))|(![X25:$o]:(((f @ ((X25)))<=>(X25)))&((Z0)=(X4))))|(![X26:$o]:(((f @ ((X26)))<=>$true))&((Z0)=(X5)))))))=(X2))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]), c_0_6])])). 0.35/0.53 thf(c_0_10, plain, ![X2:$i]:(((epred1_0 @ X2)|~((epred3_1 @ X2))|~((f @ (($true))))|~((epred3_1 @ X2))|((X2)!=(esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.35/0.53 thf(c_0_11, plain, ![X2:$i]:(((epred3_1 @ X2)|(f @ (~($true)))|(epred3_1 @ X2)|(epred1_0 @ X2)|((X2)!=(esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.35/0.53 thf(c_0_12, plain, ![X8:$i > $o, X2:$i]:(((X8 @ (eps @ X8))|~((X8 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.35/0.53 thf(c_0_13, plain, ((epred1_0 @ esk4_0)|~((f @ (($true))))|~((f @ (~($true))))), inference(er,[status(thm)],[c_0_8])). 0.35/0.53 thf(c_0_14, negated_conjecture, (((((eps @ (^[Z0/* 9 */:$i]:(((((![X15:$o]:(((f @ ((X15)))<=>~($true)))&((Z0)=(esk1_0)))|(((f)=($not))&((Z0)=(esk2_0))))|(![X16:$o]:(((f @ ((X16)))<=>(X16)))&((Z0)=(esk3_0))))|(![X17:$o]:(((f @ ((X17)))<=>$true))&((Z0)=(esk4_0)))))))!=(esk3_0))&((eps @ (^[Z0/* 9 */:$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)))))))!=(esk4_0)))&((eps @ (^[Z0/* 9 */:$i]:(((((![X21:$o]:(((f @ ((X21)))<=>~($true)))&((Z0)=(esk1_0)))|(((f)=($not))&((Z0)=(esk2_0))))|(![X22:$o]:(((f @ ((X22)))<=>(X22)))&((Z0)=(esk3_0))))|(![X23:$o]:(((f @ ((X23)))<=>$true))&((Z0)=(esk4_0)))))))!=(esk2_0)))&((eps @ (^[Z0/* 9 */:$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_9])])])])). 0.35/0.53 thf(c_0_15, 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)))<=>($true)))&((X36)=(esk4_0)))))), introduced(definition)). 0.35/0.53 thf(c_0_16, plain, ![X2:$i]:(((epred1_0 @ X2)|((X2)!=(esk3_0))|~((epred3_1 @ X2))|~((f @ (($true)))))), inference(cn,[status(thm)],[c_0_10])). 0.35/0.53 thf(c_0_17, plain, ![X2:$i]:(((epred1_0 @ X2)|(epred3_1 @ X2)|(f @ (~($true)))|((X2)!=(esk3_0)))), inference(cn,[status(thm)],[c_0_11])). 0.35/0.53 thf(c_0_18, plain, ![X2:$i]:((((X2)=(esk4_0))|((X2)=(esk3_0))|((X2)=(esk2_0))|((X2)=(esk1_0))|~((epred1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.35/0.53 thf(c_0_19, plain, ((epred1_0 @ (eps @ epred1_0))|~((f @ (($true))))|~((f @ (~($true))))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.35/0.53 thf(c_0_20, negated_conjecture, ((eps @ epred1_0)!=(esk1_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_14]), c_0_15])). 0.35/0.53 thf(c_0_21, negated_conjecture, ((eps @ epred1_0)!=(esk2_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_14]), c_0_15])). 0.35/0.53 thf(c_0_22, negated_conjecture, ((eps @ epred1_0)!=(esk3_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_14]), c_0_15])). 0.35/0.53 thf(c_0_23, negated_conjecture, ((eps @ epred1_0)!=(esk4_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_14]), c_0_15])). 0.35/0.53 thf(c_0_24, plain, ((epred1_0 @ esk3_0)|~((f @ (($true))))|~((epred3_1 @ esk3_0))), inference(er,[status(thm)],[c_0_16])). 0.35/0.53 thf(c_0_25, plain, ((epred1_0 @ esk3_0)|(epred3_1 @ esk3_0)|(f @ (~($true)))), inference(er,[status(thm)],[c_0_17])). 0.35/0.53 thf(c_0_26, 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_18, c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])). 0.35/0.53 thf(c_0_27, plain, ![X2:$i]:(((f @ (($true)))|(epred1_0 @ X2)|~((epred2_1 @ X2))|~(($true))|((X2)!=(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.35/0.53 thf(c_0_28, plain, ![X2:$i]:(((epred2_1 @ X2)|(f @ (~($true)))|(epred1_0 @ X2)|~(($true))|((X2)!=(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.35/0.53 thf(c_0_29, plain, ((epred1_0 @ esk3_0)|~((f @ (($true))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])). 0.35/0.53 thf(c_0_30, plain, ![X2:$i]:(((epred1_0 @ X2)|(f @ (($true)))|((X2)!=(esk1_0))|~((epred2_1 @ X2)))), inference(cn,[status(thm)],[c_0_27])). 0.35/0.53 thf(c_0_31, plain, ![X2:$i]:(((epred1_0 @ X2)|(epred2_1 @ X2)|(f @ (~($true)))|((X2)!=(esk1_0)))), inference(cn,[status(thm)],[c_0_28])). 0.35/0.53 thf(c_0_32, plain, ((epred1_0 @ (eps @ epred1_0))|~((f @ (($true))))), inference(spm,[status(thm)],[c_0_12, c_0_29])). 0.35/0.53 thf(c_0_33, plain, ![X2:$i]:(((epred1_0 @ X2)|((f)!=($not))|((X2)!=(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.35/0.53 thf(c_0_34, plain, ((epred1_0 @ esk1_0)|(f @ (($true)))|~((epred2_1 @ esk1_0))), inference(er,[status(thm)],[c_0_30])). 0.35/0.53 thf(c_0_35, plain, ((epred1_0 @ esk1_0)|(epred2_1 @ esk1_0)|(f @ (~($true)))), inference(er,[status(thm)],[c_0_31])). 0.35/0.53 thf(c_0_36, plain, ~((f @ (($true)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_32]), c_0_20]), c_0_21]), c_0_22]), c_0_23])). 0.35/0.53 thf(c_0_37, plain, ((epred1_0 @ esk2_0)|(($not)!=(f))), inference(er,[status(thm)],[c_0_33])). 0.35/0.53 thf(c_0_38, plain, ((f @ (~($true)))|(epred1_0 @ esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])). 0.35/0.53 thf(c_0_39, plain, ((epred1_0 @ esk2_0)|(~((esk5_0))<~>(f @ ((esk5_0))))), inference(neg_ext,[status(thm)],[c_0_37])). 0.35/0.53 thf(c_0_40, plain, ((epred1_0 @ (eps @ epred1_0))|(f @ (~($true)))), inference(spm,[status(thm)],[c_0_12, c_0_38])). 0.35/0.53 thf(c_0_41, plain, ((epred1_0 @ esk2_0)|(esk5_0)|~((f @ (~($true))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_39])])). 0.35/0.53 thf(c_0_42, plain, (f @ (~($true))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_40]), c_0_20]), c_0_21]), c_0_22]), c_0_23])). 0.35/0.53 thf(c_0_43, plain, ((epred1_0 @ esk2_0)|(esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])). 0.35/0.53 thf(c_0_44, plain, ((epred1_0 @ (eps @ epred1_0))|(esk5_0)), inference(spm,[status(thm)],[c_0_12, c_0_43])). 0.35/0.53 thf(c_0_45, plain, ((epred1_0 @ esk2_0)|(f @ (($true)))|~((esk5_0))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_39])])). 0.35/0.53 thf(c_0_46, plain, (esk5_0), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_44]), c_0_20]), c_0_21]), c_0_22]), c_0_23])). 0.35/0.53 thf(c_0_47, plain, (epred1_0 @ esk2_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])]), c_0_36])). 0.35/0.53 thf(c_0_48, plain, (epred1_0 @ (eps @ epred1_0)), inference(spm,[status(thm)],[c_0_12, c_0_47])). 0.35/0.53 thf(c_0_49, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_48]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), ['proof']). 0.35/0.53 # SZS output end CNFRefutation 0.35/0.53 # Parsed axioms : 6 0.35/0.53 # Removed by relevancy pruning/SinE : 3 0.35/0.53 # Initial clauses : 78 0.35/0.53 # Removed in clause preprocessing : 40 0.35/0.53 # Initial clauses in saturation : 38 0.35/0.53 # Processed clauses : 91 0.35/0.53 # ...of these trivial : 0 0.35/0.53 # ...subsumed : 8 0.35/0.53 # ...remaining for further processing : 83 0.35/0.53 # Other redundant clauses eliminated : 9 0.35/0.53 # Clauses deleted for lack of memory : 0 0.35/0.53 # Backward-subsumed : 9 0.35/0.53 # Backward-rewritten : 12 0.35/0.53 # Generated clauses : 72 0.35/0.53 # ...of the previous two non-redundant : 53 0.35/0.53 # ...aggressively subsumed : 0 0.35/0.53 # Contextual simplify-reflections : 1 0.35/0.53 # Paramodulations : 27 0.35/0.53 # Factorizations : 0 0.35/0.53 # NegExts : 1 0.35/0.53 # Equation resolutions : 9 0.35/0.53 # Disequality decompositions : 0 0.35/0.53 # Total rewrite steps : 13 0.35/0.53 # ...of those cached : 9 0.35/0.53 # Propositional unsat checks : 0 0.35/0.53 # Propositional check models : 0 0.35/0.53 # Propositional check unsatisfiable : 0 0.35/0.53 # Propositional clauses : 0 0.35/0.53 # Propositional clauses after purity: 0 0.35/0.53 # Propositional unsat core size : 0 0.35/0.53 # Propositional preprocessing time : 0.000 0.35/0.53 # Propositional encoding time : 0.000 0.35/0.53 # Propositional solver time : 0.000 0.35/0.53 # Success case prop preproc time : 0.000 0.35/0.53 # Success case prop encoding time : 0.000 0.35/0.53 # Success case prop solver time : 0.000 0.35/0.53 # Current number of processed clauses : 15 0.35/0.53 # Positive orientable unit clauses : 4 0.35/0.53 # Positive unorientable unit clauses: 0 0.35/0.53 # Negative unit clauses : 5 0.35/0.53 # Non-unit-clauses : 6 0.35/0.53 # Current number of unprocessed clauses: 33 0.35/0.53 # ...number of literals in the above : 140 0.35/0.53 # Current number of archived formulas : 0 0.35/0.53 # Current number of archived clauses : 59 0.35/0.53 # Clause-clause subsumption calls (NU) : 237 0.35/0.53 # Rec. Clause-clause subsumption calls : 102 0.35/0.53 # Non-unit clause-clause subsumptions : 14 0.35/0.53 # Unit Clause-clause subsumption calls : 15 0.35/0.53 # Rewrite failures with RHS unbound : 0 0.35/0.53 # BW rewrite match attempts : 3 0.35/0.53 # BW rewrite match successes : 3 0.35/0.53 # Condensation attempts : 0 0.35/0.53 # Condensation successes : 0 0.35/0.53 # Termbank termtop insertions : 6711 0.35/0.53 # Search garbage collected termcells : 1168 0.35/0.53 0.35/0.53 # ------------------------------------------------- 0.35/0.53 # User time : 0.010 s 0.35/0.53 # System time : 0.003 s 0.35/0.53 # Total time : 0.013 s 0.35/0.53 # Maximum resident set size: 2336 pages 0.35/0.53 0.35/0.53 # ------------------------------------------------- 0.35/0.53 # User time : 0.055 s 0.35/0.53 # System time : 0.010 s 0.35/0.53 # Total time : 0.066 s 0.35/0.53 # Maximum resident set size: 1728 pages 0.35/0.53 % E exiting 0.35/0.53 % E exiting 0.35/0.53 EOF