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 : n019.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 10:47:52 UTC 2026 0.09/0.37 % CPUTime : 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.14/0.40 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.smpzhEowly/E---3.1_2329023.p 473.57/88.38 % Version: 3.5.1-ho 473.57/88.38 % Preprocessing class: HSSSSMSSSSMNHHA. 473.57/88.38 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 473.57/88.38 % Starting post_as_ho5 with 900s (5) cores 473.57/88.38 % Starting sh2lt with 180s (1) cores 473.57/88.38 % Starting ehoh_best8_lambda with 180s (1) cores 473.57/88.38 % Starting post_as_ho10 with 180s (1) cores 473.57/88.38 % ehoh_best8_lambda with pid 2329038 completed with status 9 473.57/88.38 % post_as_ho10 with pid 2329039 completed with status 9 473.57/88.38 % sh2lt with pid 2329037 completed with status 0 473.57/88.38 % Result found by sh2lt 473.57/88.38 % Preprocessing class: HSSSSMSSSSMNHHA. 473.57/88.38 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 473.57/88.38 % Starting post_as_ho5 with 900s (5) cores 473.57/88.38 % Starting sh2lt with 180s (1) cores 473.57/88.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 473.57/88.38 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 473.57/88.38 % Search class: HGHSS-FFMF22-SHHFFSBN 473.57/88.38 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 473.57/88.38 % Starting SubtermCWHack with 17s (1) cores 473.57/88.38 % SubtermCWHack with pid 2329047 completed with status 10 473.57/88.38 % Starting sh2lt with 19s (1) cores 473.57/88.38 % sh2lt with pid 2329051 completed with status 8 473.57/88.38 % Starting ehoh_best8_lambda with 17s (1) cores 473.57/88.38 % ehoh_best8_lambda with pid 2329061 completed with status 8 473.57/88.38 % Starting new_bool_2 with 17s (1) cores 473.57/88.38 % new_bool_2 with pid 2329065 completed with status 8 473.57/88.38 % Starting new_bool_9 with 17s (1) cores 473.57/88.38 % new_bool_9 with pid 2329070 completed with status 8 473.57/88.38 % Starting ho_unfolding_6 with 17s (1) cores 473.57/88.38 % ho_unfolding_6 with pid 2329080 completed with status 8 473.57/88.38 % Starting lpo8_lambda_fix with 76s (1) cores 473.57/88.38 % lpo8_lambda_fix with pid 2329090 completed with status 0 473.57/88.38 % Result found by lpo8_lambda_fix 473.57/88.38 % Preprocessing class: HSSSSMSSSSMNHHA. 473.57/88.38 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 473.57/88.38 % Starting post_as_ho5 with 900s (5) cores 473.57/88.38 % Starting sh2lt with 180s (1) cores 473.57/88.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 473.57/88.38 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 473.57/88.38 % Search class: HGHSS-FFMF22-SHHFFSBN 473.57/88.38 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 473.57/88.38 % Starting SubtermCWHack with 17s (1) cores 473.57/88.38 % SubtermCWHack with pid 2329047 completed with status 10 473.57/88.38 % Starting sh2lt with 19s (1) cores 473.57/88.38 % sh2lt with pid 2329051 completed with status 8 473.57/88.38 % Starting ehoh_best8_lambda with 17s (1) cores 473.57/88.38 % ehoh_best8_lambda with pid 2329061 completed with status 8 473.57/88.38 % Starting new_bool_2 with 17s (1) cores 473.57/88.38 % new_bool_2 with pid 2329065 completed with status 8 473.57/88.38 % Starting new_bool_9 with 17s (1) cores 473.57/88.38 % new_bool_9 with pid 2329070 completed with status 8 473.57/88.38 % Starting ho_unfolding_6 with 17s (1) cores 473.57/88.38 % ho_unfolding_6 with pid 2329080 completed with status 8 473.57/88.38 % Starting lpo8_lambda_fix with 76s (1) cores 473.57/88.38 % Preprocessing time : 0.002 s 473.57/88.38 % Presaturation interreduction done 473.57/88.38 473.57/88.38 % Proof found! 473.57/88.38 % SZS status Theorem 473.57/88.38 % SZS output start CNFRefutation 473.57/88.38 thf(decl_23, type, epred1_0: $i > $o). 473.57/88.38 thf(decl_24, type, esk1_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i). 473.57/88.38 thf(decl_25, type, esk2_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i > $i). 473.57/88.38 thf(decl_26, type, esk3_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i > $i). 473.57/88.38 thf(decl_27, type, esk4_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i). 473.57/88.38 thf(decl_28, type, esk5_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i). 473.57/88.38 thf(decl_29, type, esk6_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i > $i). 473.57/88.38 thf(decl_30, type, esk7_0: $i > $i). 473.57/88.38 thf(cTHM112B, conjecture, ![X1:$i > $o]:(?[X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:((![X4:$i]:(((X3 @ (^[X5:$i]:(X5)) @ X4)|(X2 @ (^[X5:$i]:(X5)) @ X4)))&![X6:$i > $i, X7:$i > $i]:(((![X8:$i]:(((X1 @ X8)=>(X1 @ (X6 @ X8))))&![X4:$i]:(((X3 @ (^[X5:$i]:(X6 @ (X7 @ X5))) @ X4)|(X2 @ (^[X5:$i]:(X6 @ (X7 @ X5))) @ X4))))<=(![X4:$i]:(((X3 @ X6 @ X4)|(X2 @ X6 @ X4)))&![X4:$i]:(((X3 @ X7 @ X4)|(X2 @ X7 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.smpzhEowly/E---3.1_2329023.p', cTHM112B)). 473.57/88.38 thf(c_0_1, negated_conjecture, ~(![X1:$i > $o]:(?[X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:((![X4:$i]:(((X3 @ (^[X5:$i]:(X5)) @ X4)|(X2 @ (^[X5:$i]:(X5)) @ X4)))&![X6:$i > $i, X7:$i > $i]:(((![X8:$i]:(((X1 @ X8)=>(X1 @ (X6 @ X8))))&![X4:$i]:(((X3 @ (^[X5:$i]:(X6 @ (X7 @ X5))) @ X4)|(X2 @ (^[X5:$i]:(X6 @ (X7 @ X5))) @ X4))))<=(![X4:$i]:(((X3 @ X6 @ X4)|(X2 @ X6 @ X4)))&![X4:$i]:(((X3 @ X7 @ X4)|(X2 @ X7 @ X4)))))))))), inference(assume_negation,[status(cth)],[cTHM112B])). 473.57/88.38 thf(c_0_2, negated_conjecture, ~(![X1:$i > $o]:(?[X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:((![X4:$i]:(((X3 @ (^[Z0:$i]:(Z0)) @ X4)|(X2 @ (^[Z0:$i]:(Z0)) @ X4)))&![X6:$i > $i, X7:$i > $i]:(((![X4:$i]:(((X3 @ X6 @ X4)|(X2 @ X6 @ X4)))&![X4:$i]:(((X3 @ X7 @ X4)|(X2 @ X7 @ X4))))=>(![X8:$i]:(((X1 @ X8)=>(X1 @ (X6 @ X8))))&![X4:$i]:(((X3 @ (^[Z0:$i]:(X6 @ (X7 @ Z0))) @ X4)|(X2 @ (^[Z0:$i]:(X6 @ (X7 @ Z0))) @ X4)))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])). 473.57/88.38 thf(c_0_3, negated_conjecture, ![X20:($i > $i) > $i > $o, X21:($i > $i) > $i > $o, X25:$i, X26:$i]:((((((X21 @ (esk2_2 @ X20 @ X21) @ X25)|(X20 @ (esk2_2 @ X20 @ X21) @ X25)|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21)))&((X21 @ (esk3_2 @ X20 @ X21) @ X26)|(X20 @ (esk3_2 @ X20 @ X21) @ X26)|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21))))&(((~(X21 @ (^[Z0:$i]:(esk2_2 @ X20 @ X21 @ (esk3_2 @ X20 @ X21 @ Z0))) @ (esk5_2 @ X20 @ X21))|(epred1_0 @ (esk4_2 @ X20 @ X21))|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21)))&(~(X20 @ (^[Z0:$i]:(esk2_2 @ X20 @ X21 @ (esk3_2 @ X20 @ X21 @ Z0))) @ (esk5_2 @ X20 @ X21))|(epred1_0 @ (esk4_2 @ X20 @ X21))|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21))))&((~(X21 @ (^[Z0:$i]:(esk2_2 @ X20 @ X21 @ (esk3_2 @ X20 @ X21 @ Z0))) @ (esk5_2 @ X20 @ X21))|~(epred1_0 @ (esk2_2 @ X20 @ X21 @ (esk4_2 @ X20 @ X21)))|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21)))&(~(X20 @ (^[Z0:$i]:(esk2_2 @ X20 @ X21 @ (esk3_2 @ X20 @ X21 @ Z0))) @ (esk5_2 @ X20 @ X21))|~(epred1_0 @ (esk2_2 @ X20 @ X21 @ (esk4_2 @ X20 @ X21)))|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21))))))&((((X21 @ (esk2_2 @ X20 @ X21) @ X25)|(X20 @ (esk2_2 @ X20 @ X21) @ X25)|~(X20 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21)))&((X21 @ (esk3_2 @ X20 @ X21) @ X26)|(X20 @ (esk3_2 @ X20 @ X21) @ X26)|~(X20 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21))))&(((~(X21 @ (^[Z0:$i]:(esk2_2 @ X20 @ X21 @ (esk3_2 @ X20 @ X21 @ Z0))) @ (esk5_2 @ X20 @ X21))|(epred1_0 @ (esk4_2 @ X20 @ X21))|~(X20 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21)))&(~(X20 @ (^[Z0:$i]:(esk2_2 @ X20 @ X21 @ (esk3_2 @ X20 @ X21 @ Z0))) @ (esk5_2 @ X20 @ X21))|(epred1_0 @ (esk4_2 @ X20 @ X21))|~(X20 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21))))&((~(X21 @ (^[Z0:$i]:(esk2_2 @ X20 @ X21 @ (esk3_2 @ X20 @ X21 @ Z0))) @ (esk5_2 @ X20 @ X21))|~(epred1_0 @ (esk2_2 @ X20 @ X21 @ (esk4_2 @ X20 @ X21)))|~(X20 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21)))&(~(X20 @ (^[Z0:$i]:(esk2_2 @ X20 @ X21 @ (esk3_2 @ X20 @ X21 @ Z0))) @ (esk5_2 @ X20 @ X21))|~(epred1_0 @ (esk2_2 @ X20 @ X21 @ (esk4_2 @ X20 @ X21)))|~(X20 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X20 @ X21)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])). 473.57/88.38 thf(c_0_4, plain, ![X30:$i]:(((esk7_0 @ X30)=(X30))), introduced(definition)). 473.57/88.38 thf(c_0_5, negated_conjecture, ![X4:$i, X3:($i > $i) > $i > $o, X2:($i > $i) > $i > $o]:(((X2 @ (esk2_2 @ X3 @ X2) @ X4)|(X3 @ (esk2_2 @ X3 @ X2) @ X4)|~((((X3 @ esk7_0 @ (esk1_2 @ X3 @ X2)))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])). 473.57/88.38 thf(c_0_6, negated_conjecture, ![X4:$i, X3:($i > $i) > $i > $o, X2:($i > $i) > $i > $o]:(((X2 @ (esk2_2 @ X3 @ X2) @ X4)|(X3 @ (esk2_2 @ X3 @ X2) @ X4)|~((X3 @ esk7_0 @ (esk1_2 @ X3 @ X2))))), inference(cn,[status(thm)],[c_0_5])). 473.57/88.38 thf(c_0_7, plain, ![X49:$i]:(((esk7_0 @ X49)=(X49))), inference(variable_rename,[status(thm)],[])). 473.57/88.38 thf(c_0_8, plain, ![X50:$i, X51:($i > $i) > $i > $o, X52:($i > $i) > $i > $o]:(((esk6_2 @ X52 @ X51 @ X50)=(esk2_2 @ X51 @ X52 @ (esk3_2 @ X51 @ X52 @ X50)))), inference(variable_rename,[status(thm)],[])). 473.57/88.38 thf(c_0_9, negated_conjecture, ![X2:($i > $i) > $i > $o, X4:$i]:((((esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2)=(esk7_0))|(X2 @ (esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2) @ X4))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_6])). 473.57/88.38 thf(c_0_10, plain, ![X4:$i]:(((esk7_0 @ X4)=(X4))), inference(split_conjunct,[status(thm)],[c_0_7])). 473.57/88.38 thf(c_0_11, negated_conjecture, ![X4:$i, X3:($i > $i) > $i > $o, X2:($i > $i) > $i > $o]:(((X2 @ (esk3_2 @ X3 @ X2) @ X4)|(X3 @ (esk3_2 @ X3 @ X2) @ X4)|~((((X2 @ esk7_0 @ (esk1_2 @ X3 @ X2)))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])). 473.57/88.38 thf(c_0_12, plain, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o, X4:$i]:(((esk6_2 @ X2 @ X3 @ X4)=(esk2_2 @ X3 @ X2 @ (esk3_2 @ X3 @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_8])). 473.57/88.38 thf(c_0_13, negated_conjecture, ![X2:($i > $i) > $i > $o, X4:$i, X5:$i]:((((esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2 @ X4)=(X4))|(X2 @ (esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2) @ X5))), inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_9]), c_0_10])). 473.57/88.38 thf(c_0_14, plain, ![X29:$i, X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:(((esk6_2 @ X3 @ X2 @ X29)=(esk2_2 @ X2 @ X3 @ (esk3_2 @ X2 @ X3 @ X29)))), introduced(definition)). 473.57/88.38 thf(c_0_15, negated_conjecture, ![X4:$i, X3:($i > $i) > $i > $o, X2:($i > $i) > $i > $o]:(((X2 @ (esk3_2 @ X3 @ X2) @ X4)|(X3 @ (esk3_2 @ X3 @ X2) @ X4)|~((X2 @ esk7_0 @ (esk1_2 @ X3 @ X2))))), inference(cn,[status(thm)],[c_0_11])). 473.57/88.38 thf(c_0_16, plain, ![X2:($i > $i) > $i > $o, X4:$i, X5:$i]:((((esk3_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2 @ X4)=(esk6_2 @ X2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X4))|(X2 @ (esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2) @ X5))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 473.57/88.38 thf(c_0_17, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:((~((((X2 @ (esk6_2 @ X3 @ X2) @ (esk5_2 @ X2 @ X3)))=(($true))))|~((epred1_0 @ (esk2_2 @ X2 @ X3 @ (esk4_2 @ X2 @ X3))))|~((((X2 @ esk7_0 @ (esk1_2 @ X2 @ X3)))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_14])). 473.57/88.38 thf(c_0_18, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:(((epred1_0 @ (esk4_2 @ X2 @ X3))|~((((X2 @ (esk6_2 @ X3 @ X2) @ (esk5_2 @ X2 @ X3)))=(($true))))|~((((X3 @ esk7_0 @ (esk1_2 @ X2 @ X3)))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_14])). 473.57/88.38 thf(c_0_19, negated_conjecture, ![X2:($i > $i) > $i > $o, X4:$i]:((((esk1_2 @ X2 @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4)))))=(X4))|(X2 @ (esk3_2 @ X2 @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4))))) @ X4))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_15])). 473.57/88.38 thf(c_0_20, plain, ![X2:($i > $i) > $i > $o, X4:$i]:((((esk3_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2)=(esk6_2 @ X2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0))))))|(X2 @ (esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2) @ X4))), inference(pos_ext,[status(thm)],[c_0_16])). 473.57/88.38 thf(c_0_21, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:((~((epred1_0 @ (esk2_2 @ X2 @ X3 @ (esk4_2 @ X2 @ X3))))|~((X2 @ (esk6_2 @ X3 @ X2) @ (esk5_2 @ X2 @ X3)))|~((X2 @ esk7_0 @ (esk1_2 @ X2 @ X3))))), inference(cn,[status(thm)],[c_0_17])). 473.57/88.38 thf(c_0_22, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:(((epred1_0 @ (esk4_2 @ X2 @ X3))|~((X2 @ (esk6_2 @ X3 @ X2) @ (esk5_2 @ X2 @ X3)))|~((X3 @ esk7_0 @ (esk1_2 @ X2 @ X3))))), inference(cn,[status(thm)],[c_0_18])). 473.57/88.38 thf(c_0_23, negated_conjecture, ![X4:$i]:((((esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))|((esk1_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4)))))=(X4)))), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20])])])). 473.57/88.38 thf(c_0_24, negated_conjecture, ![X4:$i, X3:($i > $i) > $i > $o, X2:($i > $i) > $i > $o]:(((X2 @ (esk3_2 @ X3 @ X2) @ X4)|(X3 @ (esk3_2 @ X3 @ X2) @ X4)|~((((X3 @ esk7_0 @ (esk1_2 @ X3 @ X2)))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])). 473.57/88.38 thf(c_0_25, negated_conjecture, ![X4:$i, X2:($i > $i) > $i > $o]:(((X2 @ (esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2) @ X4)|((esk6_2 @ X2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))!=(esk7_0))|~((epred1_0 @ (esk4_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_13])])])). 473.57/88.38 thf(c_0_26, negated_conjecture, ![X4:$i]:((((esk1_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4)))))=(X4))|(epred1_0 @ (esk4_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4)))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23])])])). 473.57/88.38 thf(c_0_27, negated_conjecture, ![X4:$i, X3:($i > $i) > $i > $o, X2:($i > $i) > $i > $o]:(((X2 @ (esk3_2 @ X3 @ X2) @ X4)|(X3 @ (esk3_2 @ X3 @ X2) @ X4)|~((X3 @ esk7_0 @ (esk1_2 @ X3 @ X2))))), inference(cn,[status(thm)],[c_0_24])). 473.57/88.38 thf(c_0_28, negated_conjecture, ![X4:$i]:(((esk1_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4)))))=(X4))), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26])])]), c_0_23])). 473.57/88.38 thf(c_0_29, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:(((epred1_0 @ (esk4_2 @ X2 @ X3))|~((((X2 @ (esk6_2 @ X3 @ X2) @ (esk5_2 @ X2 @ X3)))=(($true))))|~((((X2 @ esk7_0 @ (esk1_2 @ X2 @ X3)))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_14])). 473.57/88.38 thf(c_0_30, negated_conjecture, ![X4:$i]:(((esk3_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4)))))=(esk7_0))), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28])])])])). 473.57/88.38 thf(c_0_31, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:(((epred1_0 @ (esk4_2 @ X2 @ X3))|~((X2 @ (esk6_2 @ X3 @ X2) @ (esk5_2 @ X2 @ X3)))|~((X2 @ esk7_0 @ (esk1_2 @ X2 @ X3))))), inference(cn,[status(thm)],[c_0_29])). 473.57/88.38 thf(c_0_32, plain, ![X4:$i]:(((esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_30])])])). 473.57/88.38 thf(c_0_33, negated_conjecture, ![X4:$i]:((epred1_0 @ (esk4_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z1)!=(X4))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32])])])). 473.57/88.38 thf(c_0_34, negated_conjecture, ($false), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_33])]), c_0_32])])]), ['proof']). 473.57/88.38 % SZS output end CNFRefutation 473.57/88.38 % Parsed axioms : 1 473.57/88.38 % Removed by relevancy pruning/SinE : 0 473.57/88.38 % Initial clauses : 14 473.57/88.38 % Removed in clause preprocessing : 0 473.57/88.38 % Initial clauses in saturation : 14 473.57/88.38 % Processed clauses : 89 473.57/88.38 % ...of these trivial : 1 473.57/88.38 % ...subsumed : 17 473.57/88.38 % ...remaining for further processing : 71 473.57/88.38 % Other redundant clauses eliminated : 26 473.57/88.38 % Clauses deleted for lack of memory : 0 473.57/88.38 % Backward-subsumed : 0 473.57/88.38 % Backward-rewritten : 2 473.57/88.38 % Generated clauses : 164 473.57/88.38 % ...of the previous two non-redundant : 102 473.57/88.38 % ...aggressively subsumed : 0 473.57/88.38 % Contextual simplify-reflections : 1 473.57/88.38 % Paramodulations : 81 473.57/88.38 % Factorizations : 0 473.57/88.38 % NegExts : 12 473.57/88.38 % Equation resolutions : 31 473.57/88.38 % Disequality decompositions : 0 473.57/88.38 % Total rewrite steps : 22 473.57/88.38 % ...of those cached : 5 473.57/88.38 % Propositional unsat checks : 0 473.57/88.38 % Propositional check models : 0 473.57/88.38 % Propositional check unsatisfiable : 0 473.57/88.38 % Propositional clauses : 0 473.57/88.38 % Propositional clauses after purity: 0 473.57/88.38 % Propositional unsat core size : 0 473.57/88.38 % Propositional preprocessing time : 0.000 473.57/88.38 % Propositional encoding time : 0.000 473.57/88.38 % Propositional solver time : 0.000 473.57/88.38 % Success case prop preproc time : 0.000 473.57/88.38 % Success case prop encoding time : 0.000 473.57/88.38 % Success case prop solver time : 0.000 473.57/88.38 % Current number of processed clauses : 51 473.57/88.38 % Positive orientable unit clauses : 7 473.57/88.38 % Positive unorientable unit clauses: 0 473.57/88.38 % Negative unit clauses : 0 473.57/88.38 % Non-unit-clauses : 44 473.57/88.38 % Current number of unprocessed clauses: 41 473.57/88.38 % ...number of literals in the above : 110 473.57/88.38 % Current number of archived formulas : 0 473.57/88.38 % Current number of archived clauses : 20 473.57/88.38 % Clause-clause subsumption calls (NU) : 418 473.57/88.38 % Rec. Clause-clause subsumption calls : 301 473.57/88.38 % Non-unit clause-clause subsumptions : 18 473.57/88.38 % Unit Clause-clause subsumption calls : 89 473.57/88.38 % Rewrite failures with RHS unbound : 0 473.57/88.38 % BW rewrite match attempts : 4 473.57/88.38 % BW rewrite match successes : 1 473.57/88.38 % Condensation attempts : 89 473.57/88.38 % Condensation successes : 0 473.57/88.38 % Termbank termtop insertions : 15659 473.57/88.38 % Search garbage collected termcells : 346 473.57/88.38 473.57/88.38 % ------------------------------------------------- 473.57/88.38 % User time : 86.225 s 473.57/88.38 % System time : 0.838 s 473.57/88.38 % Total time : 87.062 s 473.57/88.38 % Maximum resident set size: 3640 pages 473.57/88.38 473.57/88.38 % ------------------------------------------------- 473.57/88.38 % User time : 224.340 s 473.57/88.38 % System time : 3.067 s 473.57/88.38 % Total time : 227.406 s 473.57/88.38 % Maximum resident set size: 4864 pages 473.57/88.38 % E exiting 473.57/88.39 EOF