0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.09/0.28 % Computer : n001.cluster.edu 0.09/0.28 % Model : x86_64 x86_64 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.28 % Memory : 8042.1875MB 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.28 % CPULimit : 1920 0.09/0.28 % WCLimit : 240 0.09/0.28 % DateTime : Wed Jul 30 02:04:19 EDT 2025 0.09/0.28 % CPUTime : 0.14/0.39 Running higher-order theorem proving 0.14/0.40 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=240 /export/starexec/sandbox2/tmp/tmp.j3MebKiWof/E---3.1_6485.p 0.14/0.41 # Version: 3.0.0-ho 0.14/0.41 # Preprocessing class: HSSSSMSSSLSNHSN. 0.14/0.41 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.14/0.41 # Starting ho_unfolding_3 with 1200s (5) cores 0.14/0.41 # Starting lpo8_lambda_fix with 240s (1) cores 0.14/0.41 # Starting lpo8_s with 240s (1) cores 0.14/0.41 # Starting new_bool_11 with 240s (1) cores 0.14/0.41 # ho_unfolding_3 with pid 6563 completed with status 0 0.14/0.41 # Result found by ho_unfolding_3 0.14/0.41 # Preprocessing class: HSSSSMSSSLSNHSN. 0.14/0.41 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.14/0.41 # Starting ho_unfolding_3 with 1200s (5) cores 0.14/0.41 # No SInE strategy applied 0.14/0.41 # Search class: HGHPF-FFMF11-SHSFMFNN 0.14/0.41 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.14/0.41 # Starting new_ho_10 with 649s (1) cores 0.14/0.41 # Starting ho_unfolding_3 with 121s (1) cores 0.14/0.41 # Starting new_bool_1 with 109s (1) cores 0.14/0.41 # Starting lpo1_def_fix with 109s (1) cores 0.14/0.41 # Starting ehoh_best8_lambda with 109s (1) cores 0.14/0.41 # ho_unfolding_3 with pid 6571 completed with status 0 0.14/0.41 # Result found by ho_unfolding_3 0.14/0.41 # Preprocessing class: HSSSSMSSSLSNHSN. 0.14/0.41 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.14/0.41 # Starting ho_unfolding_3 with 1200s (5) cores 0.14/0.41 # No SInE strategy applied 0.14/0.41 # Search class: HGHPF-FFMF11-SHSFMFNN 0.14/0.41 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.14/0.41 # Starting new_ho_10 with 649s (1) cores 0.14/0.41 # Starting ho_unfolding_3 with 121s (1) cores 0.14/0.41 # Preprocessing time : 0.001 s 0.14/0.41 # Presaturation interreduction done 0.14/0.41 0.14/0.41 # Proof found! 0.14/0.41 # SZS status Theorem 0.14/0.41 # SZS output start CNFRefutation 0.14/0.41 thf(decl_sort1, type, g: $tType). 0.14/0.41 thf(decl_23, type, cGROUP1: (g > g > g) > g > $o). 0.14/0.41 thf(decl_24, type, cGROUP3: (g > g > g) > g > $o). 0.14/0.41 thf(decl_25, type, cGRP_ASSOC: (g > g > g) > $o). 0.14/0.41 thf(decl_26, type, cGRP_INVERSE: (g > g > g) > g > $o). 0.14/0.41 thf(decl_27, type, cGRP_RIGHT_INVERSE: (g > g > g) > g > $o). 0.14/0.41 thf(decl_28, type, cGRP_RIGHT_UNIT: (g > g > g) > g > $o). 0.14/0.41 thf(decl_29, type, cGRP_UNIT: (g > g > g) > g > $o). 0.14/0.41 thf(decl_30, type, esk1_0: g > g > g). 0.14/0.41 thf(decl_31, type, esk2_0: g). 0.14/0.41 thf(decl_32, type, esk3_0: g). 0.14/0.41 thf(decl_33, type, esk4_0: g). 0.14/0.41 thf(decl_34, type, esk5_0: g). 0.14/0.41 thf(decl_35, type, esk6_0: g). 0.14/0.41 thf(decl_36, type, esk7_0: g). 0.14/0.41 thf(decl_37, type, esk8_0: g). 0.14/0.41 thf(decl_38, type, esk9_0: g). 0.14/0.41 thf(decl_39, type, esk10_0: g). 0.14/0.41 thf(decl_40, type, esk11_0: g). 0.14/0.41 thf(decl_41, type, esk12_0: g). 0.14/0.41 thf(decl_42, type, esk13_1: g > g). 0.14/0.41 thf(decl_43, type, esk14_1: g > g). 0.14/0.41 thf(cGROUP1_def, axiom, ((cGROUP1)=(^[X1:g > g > g, X5:g]:((((cGRP_ASSOC @ X1)&(cGRP_UNIT @ X1 @ X5))&(cGRP_INVERSE @ X1 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.j3MebKiWof/E---3.1_6485.p', cGROUP1_def)). 0.14/0.41 thf(cGRP_ASSOC_def, axiom, ((cGRP_ASSOC)=(^[X1:g > g > g]:(![X2:g, X3:g, X4:g]:(((X1 @ (X1 @ X2 @ X3) @ X4)=(X1 @ X2 @ (X1 @ X3 @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.j3MebKiWof/E---3.1_6485.p', cGRP_ASSOC_def)). 0.14/0.41 thf(cGRP_INVERSE_def, axiom, ((cGRP_INVERSE)=(^[X1:g > g > g, X5:g]:(![X2:g]:(?[X3:g]:((((X1 @ X2 @ X3)=(X5))&((X1 @ X3 @ X2)=(X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.j3MebKiWof/E---3.1_6485.p', cGRP_INVERSE_def)). 0.14/0.41 thf(cGRP_UNIT_def, axiom, ((cGRP_UNIT)=(^[X1:g > g > g, X5:g]:(![X2:g]:((((X1 @ X5 @ X2)=(X2))&((X1 @ X2 @ X5)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.j3MebKiWof/E---3.1_6485.p', cGRP_UNIT_def)). 0.14/0.41 thf(cGROUP3_def, axiom, ((cGROUP3)=(^[X1:g > g > g, X5:g]:((((cGRP_ASSOC @ X1)&(cGRP_RIGHT_UNIT @ X1 @ X5))&(cGRP_RIGHT_INVERSE @ X1 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.j3MebKiWof/E---3.1_6485.p', cGROUP3_def)). 0.14/0.41 thf(cGRP_RIGHT_INVERSE_def, axiom, ((cGRP_RIGHT_INVERSE)=(^[X1:g > g > g, X5:g]:(![X2:g]:(?[X3:g]:(((X1 @ X2 @ X3)=(X5))))))), file('/export/starexec/sandbox2/tmp/tmp.j3MebKiWof/E---3.1_6485.p', cGRP_RIGHT_INVERSE_def)). 0.14/0.41 thf(cGRP_RIGHT_UNIT_def, axiom, ((cGRP_RIGHT_UNIT)=(^[X1:g > g > g, X5:g]:(![X2:g]:(((X1 @ X2 @ X5)=(X2)))))), file('/export/starexec/sandbox2/tmp/tmp.j3MebKiWof/E---3.1_6485.p', cGRP_RIGHT_UNIT_def)). 0.14/0.41 thf(cEQUIV_01_03, conjecture, ![X1:g > g > g, X5:g]:(((cGROUP1 @ X1 @ X5)<=>(cGROUP3 @ X1 @ X5))), file('/export/starexec/sandbox2/tmp/tmp.j3MebKiWof/E---3.1_6485.p', cEQUIV_01_03)). 0.14/0.41 thf(c_0_8, plain, ((cGROUP1)=(^[Z0/* 19 */:g > g > g, Z1:g]:((((![X8:g, X9:g, X10:g]:(((Z0 @ (Z0 @ X8 @ X9) @ X10)=(Z0 @ X8 @ (Z0 @ X9 @ X10)))))&(![X11:g]:((((Z0 @ Z1 @ X11)=(X11))&((Z0 @ X11 @ Z1)=(X11))))))&(![X12:g]:(?[X13:g]:((((Z0 @ X12 @ X13)=(Z1))&((Z0 @ X13 @ X12)=(Z1)))))))))), inference(fof_simplification,[status(thm)],[cGROUP1_def])). 0.14/0.41 thf(c_0_9, plain, ((cGRP_ASSOC)=(^[Z0/* 6 */:g > g > g]:(![X2:g, X3:g, X4:g]:(((Z0 @ (Z0 @ X2 @ X3) @ X4)=(Z0 @ X2 @ (Z0 @ X3 @ X4))))))), inference(fof_simplification,[status(thm)],[cGRP_ASSOC_def])). 0.14/0.41 thf(c_0_10, plain, ((cGRP_INVERSE)=(^[Z0/* 19 */:g > g > g, Z1:g]:(![X2:g]:(?[X3:g]:((((Z0 @ X2 @ X3)=(Z1))&((Z0 @ X3 @ X2)=(Z1)))))))), inference(fof_simplification,[status(thm)],[cGRP_INVERSE_def])). 0.14/0.41 thf(c_0_11, plain, ((cGRP_UNIT)=(^[Z0/* 19 */:g > g > g, Z1:g]:(![X2:g]:((((Z0 @ Z1 @ X2)=(X2))&((Z0 @ X2 @ Z1)=(X2))))))), inference(fof_simplification,[status(thm)],[cGRP_UNIT_def])). 0.14/0.41 thf(c_0_12, plain, ((cGROUP3)=(^[Z0/* 19 */:g > g > g, Z1:g]:((((![X14:g, X15:g, X16:g]:(((Z0 @ (Z0 @ X14 @ X15) @ X16)=(Z0 @ X14 @ (Z0 @ X15 @ X16)))))&(![X17:g]:(((Z0 @ X17 @ Z1)=(X17)))))&(![X18:g]:(?[X19:g]:(((Z0 @ X18 @ X19)=(Z1))))))))), inference(fof_simplification,[status(thm)],[cGROUP3_def])). 0.14/0.41 thf(c_0_13, plain, ((cGRP_RIGHT_INVERSE)=(^[Z0/* 19 */:g > g > g, Z1:g]:(![X2:g]:(?[X3:g]:(((Z0 @ X2 @ X3)=(Z1))))))), inference(fof_simplification,[status(thm)],[cGRP_RIGHT_INVERSE_def])). 0.14/0.41 thf(c_0_14, plain, ((cGRP_RIGHT_UNIT)=(^[Z0/* 19 */:g > g > g, Z1:g]:(![X2:g]:(((Z0 @ X2 @ Z1)=(X2)))))), inference(fof_simplification,[status(thm)],[cGRP_RIGHT_UNIT_def])). 0.14/0.41 thf(c_0_15, plain, ((cGROUP1)=(^[Z0/* 19 */:g > g > g, Z1:g]:((((![X8:g, X9:g, X10:g]:(((Z0 @ (Z0 @ X8 @ X9) @ X10)=(Z0 @ X8 @ (Z0 @ X9 @ X10)))))&(![X11:g]:((((Z0 @ Z1 @ X11)=(X11))&((Z0 @ X11 @ Z1)=(X11))))))&(![X12:g]:(?[X13:g]:((((Z0 @ X12 @ X13)=(Z1))&((Z0 @ X13 @ X12)=(Z1)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8, c_0_9]), c_0_10]), c_0_11])). 0.14/0.41 thf(c_0_16, plain, ((cGROUP3)=(^[Z0/* 19 */:g > g > g, Z1:g]:((((![X14:g, X15:g, X16:g]:(((Z0 @ (Z0 @ X14 @ X15) @ X16)=(Z0 @ X14 @ (Z0 @ X15 @ X16)))))&(![X17:g]:(((Z0 @ X17 @ Z1)=(X17)))))&(![X18:g]:(?[X19:g]:(((Z0 @ X18 @ X19)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12, c_0_9]), c_0_13]), c_0_14])). 0.14/0.41 thf(c_0_17, negated_conjecture, ~(![X1:g > g > g, X5:g]:((((![X20:g, X21:g, X22:g]:(((X1 @ (X1 @ X20 @ X21) @ X22)=(X1 @ X20 @ (X1 @ X21 @ X22))))&![X23:g]:((((X1 @ X5 @ X23)=(X23))&((X1 @ X23 @ X5)=(X23)))))&![X24:g]:(?[X25:g]:((((X1 @ X24 @ X25)=(X5))&((X1 @ X25 @ X24)=(X5))))))<=>((![X26:g, X27:g, X28:g]:(((X1 @ (X1 @ X26 @ X27) @ X28)=(X1 @ X26 @ (X1 @ X27 @ X28))))&![X29:g]:(((X1 @ X29 @ X5)=(X29))))&![X30:g]:(?[X31:g]:(((X1 @ X30 @ X31)=(X5)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cEQUIV_01_03]), c_0_15]), c_0_16])). 0.14/0.41 thf(c_0_18, negated_conjecture, ![X39:g, X45:g, X46:g, X47:g, X48:g, X49:g, X50:g, X52:g, X53:g, X54:g, X55:g, X56:g]:(((((esk1_0 @ (esk1_0 @ esk3_0 @ esk4_0) @ esk5_0)!=(esk1_0 @ esk3_0 @ (esk1_0 @ esk4_0 @ esk5_0)))|(((esk1_0 @ esk2_0 @ esk6_0)!=(esk6_0))|((esk1_0 @ esk6_0 @ esk2_0)!=(esk6_0)))|(((esk1_0 @ esk7_0 @ X39)!=(esk2_0))|((esk1_0 @ X39 @ esk7_0)!=(esk2_0)))|(((esk1_0 @ (esk1_0 @ esk8_0 @ esk9_0) @ esk10_0)!=(esk1_0 @ esk8_0 @ (esk1_0 @ esk9_0 @ esk10_0)))|((esk1_0 @ esk11_0 @ esk2_0)!=(esk11_0))|((esk1_0 @ esk12_0 @ X45)!=(esk2_0))))&(((((((esk1_0 @ (esk1_0 @ X52 @ X53) @ X54)=(esk1_0 @ X52 @ (esk1_0 @ X53 @ X54)))|((esk1_0 @ (esk1_0 @ X46 @ X47) @ X48)=(esk1_0 @ X46 @ (esk1_0 @ X47 @ X48))))&(((esk1_0 @ X55 @ esk2_0)=(X55))|((esk1_0 @ (esk1_0 @ X46 @ X47) @ X48)=(esk1_0 @ X46 @ (esk1_0 @ X47 @ X48)))))&(((esk1_0 @ X56 @ (esk14_1 @ X56))=(esk2_0))|((esk1_0 @ (esk1_0 @ X46 @ X47) @ X48)=(esk1_0 @ X46 @ (esk1_0 @ X47 @ X48)))))&((((((esk1_0 @ (esk1_0 @ X52 @ X53) @ X54)=(esk1_0 @ X52 @ (esk1_0 @ X53 @ X54)))|((esk1_0 @ esk2_0 @ X49)=(X49)))&(((esk1_0 @ X55 @ esk2_0)=(X55))|((esk1_0 @ esk2_0 @ X49)=(X49))))&(((esk1_0 @ X56 @ (esk14_1 @ X56))=(esk2_0))|((esk1_0 @ esk2_0 @ X49)=(X49))))&(((((esk1_0 @ (esk1_0 @ X52 @ X53) @ X54)=(esk1_0 @ X52 @ (esk1_0 @ X53 @ X54)))|((esk1_0 @ X49 @ esk2_0)=(X49)))&(((esk1_0 @ X55 @ esk2_0)=(X55))|((esk1_0 @ X49 @ esk2_0)=(X49))))&(((esk1_0 @ X56 @ (esk14_1 @ X56))=(esk2_0))|((esk1_0 @ X49 @ esk2_0)=(X49))))))&((((((esk1_0 @ (esk1_0 @ X52 @ X53) @ X54)=(esk1_0 @ X52 @ (esk1_0 @ X53 @ X54)))|((esk1_0 @ X50 @ (esk13_1 @ X50))=(esk2_0)))&(((esk1_0 @ X55 @ esk2_0)=(X55))|((esk1_0 @ X50 @ (esk13_1 @ X50))=(esk2_0))))&(((esk1_0 @ X56 @ (esk14_1 @ X56))=(esk2_0))|((esk1_0 @ X50 @ (esk13_1 @ X50))=(esk2_0))))&(((((esk1_0 @ (esk1_0 @ X52 @ X53) @ X54)=(esk1_0 @ X52 @ (esk1_0 @ X53 @ X54)))|((esk1_0 @ (esk13_1 @ X50) @ X50)=(esk2_0)))&(((esk1_0 @ X55 @ esk2_0)=(X55))|((esk1_0 @ (esk13_1 @ X50) @ X50)=(esk2_0))))&(((esk1_0 @ X56 @ (esk14_1 @ X56))=(esk2_0))|((esk1_0 @ (esk13_1 @ X50) @ X50)=(esk2_0)))))))), 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_17])])])])])])). 0.14/0.41 thf(c_0_19, negated_conjecture, ![X2:g, X3:g]:((((esk1_0 @ X2 @ esk2_0)=(X2))|((esk1_0 @ X3 @ esk2_0)=(X3)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.14/0.41 thf(c_0_20, negated_conjecture, ![X2:g, X3:g]:((((esk1_0 @ (esk1_0 @ esk3_0 @ esk4_0) @ esk5_0)!=(esk1_0 @ esk3_0 @ (esk1_0 @ esk4_0 @ esk5_0)))|((esk1_0 @ esk2_0 @ esk6_0)!=(esk6_0))|((esk1_0 @ esk6_0 @ esk2_0)!=(esk6_0))|((esk1_0 @ esk7_0 @ X2)!=(esk2_0))|((esk1_0 @ X2 @ esk7_0)!=(esk2_0))|((esk1_0 @ (esk1_0 @ esk8_0 @ esk9_0) @ esk10_0)!=(esk1_0 @ esk8_0 @ (esk1_0 @ esk9_0 @ esk10_0)))|((esk1_0 @ esk11_0 @ esk2_0)!=(esk11_0))|((esk1_0 @ esk12_0 @ X3)!=(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.14/0.41 thf(c_0_21, negated_conjecture, ![X2:g]:(((esk1_0 @ X2 @ esk2_0)=(X2))), inference(condense,[status(thm)],[c_0_19])). 0.14/0.41 thf(c_0_22, negated_conjecture, ![X2:g, X3:g, X4:g, X5:g, X7:g, X8:g]:((((esk1_0 @ (esk1_0 @ X2 @ X3) @ X4)=(esk1_0 @ X2 @ (esk1_0 @ X3 @ X4)))|((esk1_0 @ (esk1_0 @ X5 @ X7) @ X8)=(esk1_0 @ X5 @ (esk1_0 @ X7 @ X8))))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.14/0.41 thf(c_0_23, negated_conjecture, ![X2:g, X3:g]:((((esk1_0 @ (esk1_0 @ esk3_0 @ esk4_0) @ esk5_0)!=(esk1_0 @ esk3_0 @ (esk1_0 @ esk4_0 @ esk5_0)))|((esk1_0 @ (esk1_0 @ esk8_0 @ esk9_0) @ esk10_0)!=(esk1_0 @ esk8_0 @ (esk1_0 @ esk9_0 @ esk10_0)))|((esk1_0 @ esk2_0 @ esk6_0)!=(esk6_0))|((esk1_0 @ X2 @ esk7_0)!=(esk2_0))|((esk1_0 @ esk7_0 @ X2)!=(esk2_0))|((esk1_0 @ esk12_0 @ X3)!=(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21]), c_0_21])])). 0.14/0.41 thf(c_0_24, negated_conjecture, ![X2:g, X3:g, X4:g]:(((esk1_0 @ (esk1_0 @ X2 @ X3) @ X4)=(esk1_0 @ X2 @ (esk1_0 @ X3 @ X4)))), inference(condense,[status(thm)],[c_0_22])). 0.14/0.41 thf(c_0_25, negated_conjecture, ![X2:g, X3:g]:((((esk1_0 @ esk2_0 @ esk6_0)!=(esk6_0))|((esk1_0 @ X2 @ esk7_0)!=(esk2_0))|((esk1_0 @ esk7_0 @ X2)!=(esk2_0))|((esk1_0 @ esk12_0 @ X3)!=(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24]), c_0_24])])). 0.14/0.41 thf(c_0_26, negated_conjecture, ![X2:g, X3:g]:((((esk1_0 @ X2 @ (esk14_1 @ X2))=(esk2_0))|((esk1_0 @ esk2_0 @ X3)=(X3)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.14/0.41 thf(c_0_27, negated_conjecture, ![X2:g, X3:g, X4:g]:((((esk1_0 @ X2 @ (esk14_1 @ X2))=(esk2_0))|((esk1_0 @ X3 @ esk7_0)!=(esk2_0))|((esk1_0 @ esk7_0 @ X3)!=(esk2_0))|((esk1_0 @ esk12_0 @ X4)!=(esk2_0)))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.14/0.41 thf(c_0_28, negated_conjecture, ![X2:g, X3:g]:((((esk1_0 @ X2 @ (esk14_1 @ X2))=(esk2_0))|((esk1_0 @ (esk13_1 @ X3) @ X3)=(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.14/0.41 thf(c_0_29, negated_conjecture, ![X2:g, X3:g]:((((esk1_0 @ X2 @ (esk14_1 @ X2))=(esk2_0))|((esk1_0 @ X3 @ (esk13_1 @ X3))=(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.14/0.41 thf(c_0_30, negated_conjecture, ![X2:g, X3:g]:((((esk1_0 @ X2 @ (esk14_1 @ X2))=(esk2_0))|((esk1_0 @ esk12_0 @ X3)!=(esk2_0)))), inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28])]), c_0_29])). 0.14/0.41 thf(c_0_31, negated_conjecture, ![X2:g]:(((esk1_0 @ X2 @ (esk14_1 @ X2))=(esk2_0))), inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_29])])). 0.14/0.41 thf(c_0_32, negated_conjecture, ![X2:g, X3:g]:(((esk1_0 @ X2 @ (esk1_0 @ (esk14_1 @ X2) @ X3))=(esk1_0 @ esk2_0 @ X3))), inference(spm,[status(thm)],[c_0_24, c_0_31])). 0.14/0.41 thf(c_0_33, negated_conjecture, ![X2:g, X3:g]:(((esk1_0 @ X2 @ (esk1_0 @ esk2_0 @ X3))=(esk1_0 @ X2 @ X3))), inference(spm,[status(thm)],[c_0_24, c_0_21])). 0.14/0.41 thf(c_0_34, negated_conjecture, ![X2:g]:(((esk1_0 @ esk2_0 @ (esk14_1 @ (esk14_1 @ X2)))=(X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_31]), c_0_21])). 0.14/0.41 thf(c_0_35, negated_conjecture, ![X2:g, X3:g]:(((esk1_0 @ X2 @ (esk14_1 @ (esk14_1 @ X3)))=(esk1_0 @ X2 @ X3))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.14/0.41 thf(c_0_36, negated_conjecture, ![X2:g]:(((esk1_0 @ esk2_0 @ X2)=(X2))), inference(rw,[status(thm)],[c_0_34, c_0_35])). 0.14/0.41 thf(c_0_37, negated_conjecture, ![X2:g]:(((esk14_1 @ (esk14_1 @ X2))=(X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_36])). 0.14/0.41 thf(c_0_38, negated_conjecture, ![X2:g, X3:g]:((((esk1_0 @ X2 @ esk7_0)!=(esk2_0))|((esk1_0 @ esk7_0 @ X2)!=(esk2_0))|((esk1_0 @ esk12_0 @ X3)!=(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_36])])). 0.14/0.41 thf(c_0_39, negated_conjecture, ![X2:g]:(((esk1_0 @ (esk14_1 @ X2) @ X2)=(esk2_0))), inference(spm,[status(thm)],[c_0_31, c_0_37])). 0.14/0.41 thf(c_0_40, negated_conjecture, ![X2:g]:(((esk1_0 @ esk12_0 @ X2)!=(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_31])])). 0.14/0.41 thf(c_0_41, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_40, c_0_31]), ['proof']). 0.14/0.41 # SZS output end CNFRefutation 0.14/0.41 # Parsed axioms : 16 0.14/0.41 # Removed by relevancy pruning/SinE : 0 0.14/0.41 # Initial clauses : 24 0.14/0.41 # Removed in clause preprocessing : 8 0.14/0.41 # Initial clauses in saturation : 16 0.14/0.41 # Processed clauses : 74 0.14/0.41 # ...of these trivial : 10 0.14/0.41 # ...subsumed : 15 0.14/0.41 # ...remaining for further processing : 49 0.14/0.41 # Other redundant clauses eliminated : 1 0.14/0.41 # Clauses deleted for lack of memory : 0 0.14/0.41 # Backward-subsumed : 19 0.14/0.41 # Backward-rewritten : 15 0.14/0.41 # Generated clauses : 140 0.14/0.41 # ...of the previous two non-redundant : 109 0.14/0.41 # ...aggressively subsumed : 0 0.14/0.41 # Contextual simplify-reflections : 1 0.14/0.41 # Paramodulations : 137 0.14/0.41 # Factorizations : 2 0.14/0.41 # NegExts : 0 0.14/0.41 # Equation resolutions : 1 0.14/0.41 # Disequality decompositions : 0 0.14/0.41 # Total rewrite steps : 115 0.14/0.41 # ...of those cached : 68 0.14/0.41 # Propositional unsat checks : 0 0.14/0.41 # Propositional check models : 0 0.14/0.41 # Propositional check unsatisfiable : 0 0.14/0.41 # Propositional clauses : 0 0.14/0.41 # Propositional clauses after purity: 0 0.14/0.41 # Propositional unsat core size : 0 0.14/0.41 # Propositional preprocessing time : 0.000 0.14/0.41 # Propositional encoding time : 0.000 0.14/0.41 # Propositional solver time : 0.000 0.14/0.41 # Success case prop preproc time : 0.000 0.14/0.41 # Success case prop encoding time : 0.000 0.14/0.41 # Success case prop solver time : 0.000 0.14/0.41 # Current number of processed clauses : 9 0.14/0.41 # Positive orientable unit clauses : 8 0.14/0.41 # Positive unorientable unit clauses: 0 0.14/0.41 # Negative unit clauses : 1 0.14/0.41 # Non-unit-clauses : 0 0.14/0.41 # Current number of unprocessed clauses: 45 0.14/0.41 # ...number of literals in the above : 108 0.14/0.41 # Current number of archived formulas : 0 0.14/0.41 # Current number of archived clauses : 40 0.14/0.41 # Clause-clause subsumption calls (NU) : 202 0.14/0.41 # Rec. Clause-clause subsumption calls : 156 0.14/0.41 # Non-unit clause-clause subsumptions : 28 0.14/0.41 # Unit Clause-clause subsumption calls : 25 0.14/0.41 # Rewrite failures with RHS unbound : 0 0.14/0.41 # BW rewrite match attempts : 16 0.14/0.41 # BW rewrite match successes : 13 0.14/0.41 # Condensation attempts : 74 0.14/0.41 # Condensation successes : 6 0.14/0.41 # Termbank termtop insertions : 3647 0.14/0.41 # Search garbage collected termcells : 470 0.14/0.41 0.14/0.41 # ------------------------------------------------- 0.14/0.41 # User time : 0.008 s 0.14/0.41 # System time : 0.003 s 0.14/0.41 # Total time : 0.010 s 0.14/0.41 # Maximum resident set size: 1928 pages 0.14/0.41 0.14/0.41 # ------------------------------------------------- 0.14/0.41 # User time : 0.035 s 0.14/0.41 # System time : 0.009 s 0.14/0.41 # Total time : 0.044 s 0.14/0.41 # Maximum resident set size: 1748 pages 0.14/0.41 % E exiting 0.14/0.41 % E exiting 0.14/0.41 EOF