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 0.11/0.35 % Computer : n029.cluster.edu 0.11/0.35 % Model : x86_64 x86_64 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.35 % Memory : 8046.5625MB 0.11/0.35 % OS : Linux 6.8.0-71-generic 0.11/0.36 % CPULimit : 1440 0.11/0.36 % WCLimit : 180 0.11/0.36 % DateTime : Mon Jul 27 15:22:16 UTC 2026 0.11/0.36 % CPUTime : 0.11/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.15/0.40 Running higher-order theorem proving 0.15/0.42 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.nXef3M6kZf/E---3.1_2973477.p 33.14/5.22 % Version: 3.5.1-ho 33.14/5.22 % Preprocessing class: HSMSSMSSSSSNSSA. 33.14/5.22 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 33.14/5.22 % Starting post_as_ho1 with 900s (5) cores 33.14/5.22 % Starting post_as_ho12 with 180s (1) cores 33.14/5.22 % Starting new_ho_3 with 180s (1) cores 33.14/5.22 % Starting ehoh_best2_full_lfho with 180s (1) cores 33.14/5.22 % post_as_ho12 with pid 2973491 completed with status 0 33.14/5.22 % Result found by post_as_ho12 33.14/5.22 % Preprocessing class: HSMSSMSSSSSNSSA. 33.14/5.22 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 33.14/5.22 % Starting post_as_ho1 with 900s (5) cores 33.14/5.22 % Starting post_as_ho12 with 180s (1) cores 33.14/5.22 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 33.14/5.22 % No SInE strategy applied 33.14/5.22 % Search class: HGUSF-FFMF21-SSSFFMBN 33.14/5.22 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 33.14/5.22 % Starting SubtermCWHack with 17s (1) cores 33.14/5.22 % SubtermCWHack with pid 2973501 completed with status 10 33.14/5.22 % Starting post_as_ho12 with 19s (1) cores 33.14/5.22 % post_as_ho12 with pid 2973503 completed with status 0 33.14/5.22 % Result found by post_as_ho12 33.14/5.22 % Preprocessing class: HSMSSMSSSSSNSSA. 33.14/5.22 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 33.14/5.22 % Starting post_as_ho1 with 900s (5) cores 33.14/5.22 % Starting post_as_ho12 with 180s (1) cores 33.14/5.22 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 33.14/5.22 % No SInE strategy applied 33.14/5.22 % Search class: HGUSF-FFMF21-SSSFFMBN 33.14/5.22 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 33.14/5.22 % Starting SubtermCWHack with 17s (1) cores 33.14/5.22 % SubtermCWHack with pid 2973501 completed with status 10 33.14/5.22 % Starting post_as_ho12 with 19s (1) cores 33.14/5.22 % Preprocessing time : 0.001 s 33.14/5.22 % Presaturation interreduction done 33.14/5.22 33.14/5.22 % Proof found! 33.14/5.22 % SZS status Theorem 33.14/5.22 % SZS output start CNFRefutation 33.14/5.22 thf(decl_sort1, type, iS: $tType). 33.14/5.22 thf(decl_23, type, z: iS). 33.14/5.22 thf(decl_24, type, y: iS). 33.14/5.22 thf(decl_25, type, cP: iS > iS > iS). 33.14/5.22 thf(decl_26, type, x: iS). 33.14/5.22 thf(decl_27, type, c0: iS). 33.14/5.22 thf(decl_28, type, esk1_1: (iS > $o) > iS). 33.14/5.22 thf(decl_29, type, esk2_1: (iS > $o) > iS). 33.14/5.22 thf(decl_30, type, esk3_1: (iS > iS > iS > $o) > iS). 33.14/5.22 thf(decl_31, type, esk4_1: (iS > iS > iS > $o) > iS). 33.14/5.22 thf(decl_32, type, esk5_1: (iS > iS > iS > $o) > iS). 33.14/5.22 thf(decl_33, type, esk6_1: (iS > iS > iS > $o) > iS). 33.14/5.22 thf(decl_34, type, esk7_1: (iS > iS > iS > $o) > iS). 33.14/5.22 thf(decl_35, type, esk8_1: (iS > iS > iS > $o) > iS). 33.14/5.22 thf(decl_36, type, esk9_1: (iS > iS > iS > $o) > iS). 33.14/5.22 thf(decl_37, type, esk10_1: (iS > iS > iS > $o) > iS). 33.14/5.22 thf(decl_38, type, esk11_1: (iS > iS > iS > $o) > iS). 33.14/5.22 thf(decl_39, type, epred1_0: iS > iS > iS > $o). 33.14/5.22 thf(cS_INCL_LEM7_pme, conjecture, (((![X1:iS, X2:iS, X3:iS, X4:iS]:((((cP @ X1 @ X3)=(cP @ X2 @ X4))=>(((X3)=(X4))&((X1)=(X2)))))&![X5:iS > $o]:((![X1:iS]:((X5 @ X1))<=(![X1:iS, X2:iS]:(((X5 @ (cP @ X1 @ X2))<=((X5 @ X1)&(X5 @ X2))))&(X5 @ c0)))))&![X1:iS, X2:iS]:(((cP @ X1 @ X2)!=(c0))))=>(![X6:iS > iS > iS > $o]:(((![X7:iS, X8:iS, X9:iS]:((((((X8)=(X9))&((X7)=(c0)))|(((X8)=(c0))&((X7)=(X9)))|?[X10:iS, X11:iS, X12:iS, X13:iS, X14:iS, X15:iS]:(((((((X7)=(cP @ X10 @ X11))&(X6 @ X10 @ X12 @ X14))&(X6 @ X11 @ X13 @ X15))&((X9)=(cP @ X14 @ X15)))&((X8)=(cP @ X12 @ X13)))))=>(X6 @ X7 @ X8 @ X9)))&($true))=>(X6 @ x @ y @ y)))=>![X6:iS > iS > iS > $o]:(((X6 @ (cP @ x @ z) @ (cP @ y @ z) @ (cP @ y @ z))<=(($true)&![X7:iS, X8:iS, X9:iS]:(((X6 @ X7 @ X8 @ X9)<=((((X8)=(X9))&((X7)=(c0)))|(((X7)=(X9))&((X8)=(c0)))|?[X10:iS, X11:iS, X12:iS, X13:iS, X14:iS, X15:iS]:(((((((X7)=(cP @ X10 @ X11))&((X8)=(cP @ X12 @ X13)))&(X6 @ X11 @ X13 @ X15))&(X6 @ X10 @ X12 @ X14))&((X9)=(cP @ X14 @ X15)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.nXef3M6kZf/E---3.1_2973477.p', cS_INCL_LEM7_pme)). 33.14/5.22 thf(c_0_1, negated_conjecture, ~((((![X1:iS, X2:iS, X3:iS, X4:iS]:((((cP @ X1 @ X3)=(cP @ X2 @ X4))=>(((X3)=(X4))&((X1)=(X2)))))&![X5:iS > $o]:((![X1:iS]:((X5 @ X1))<=(![X1:iS, X2:iS]:(((X5 @ (cP @ X1 @ X2))<=((X5 @ X1)&(X5 @ X2))))&(X5 @ c0)))))&![X1:iS, X2:iS]:(((cP @ X1 @ X2)!=(c0))))=>(![X6:iS > iS > iS > $o]:(((![X7:iS, X8:iS, X9:iS]:((((((X8)=(X9))&((X7)=(c0)))|(((X8)=(c0))&((X7)=(X9)))|?[X10:iS, X11:iS, X12:iS, X13:iS, X14:iS, X15:iS]:(((((((X7)=(cP @ X10 @ X11))&(X6 @ X10 @ X12 @ X14))&(X6 @ X11 @ X13 @ X15))&((X9)=(cP @ X14 @ X15)))&((X8)=(cP @ X12 @ X13)))))=>(X6 @ X7 @ X8 @ X9)))&($true))=>(X6 @ x @ y @ y)))=>![X6:iS > iS > iS > $o]:(((X6 @ (cP @ x @ z) @ (cP @ y @ z) @ (cP @ y @ z))<=(($true)&![X7:iS, X8:iS, X9:iS]:(((X6 @ X7 @ X8 @ X9)<=((((X8)=(X9))&((X7)=(c0)))|(((X7)=(X9))&((X8)=(c0)))|?[X10:iS, X11:iS, X12:iS, X13:iS, X14:iS, X15:iS]:(((((((X7)=(cP @ X10 @ X11))&((X8)=(cP @ X12 @ X13)))&(X6 @ X11 @ X13 @ X15))&(X6 @ X10 @ X12 @ X14))&((X9)=(cP @ X14 @ X15))))))))))))), inference(assume_negation,[status(cth)],[cS_INCL_LEM7_pme])). 33.14/5.22 thf(c_0_2, negated_conjecture, ~((((![X1:iS, X2:iS, X3:iS, X4:iS]:((((cP @ X1 @ X3)=(cP @ X2 @ X4))=>(((X3)=(X4))&((X1)=(X2)))))&![X5:iS > $o]:(((![X1:iS, X2:iS]:((((X5 @ X1)&(X5 @ X2))=>(X5 @ (cP @ X1 @ X2))))&(X5 @ c0))=>![X1:iS]:((X5 @ X1)))))&![X1:iS, X2:iS]:(((cP @ X1 @ X2)!=(c0))))=>(![X6:iS > iS > iS > $o]:(((![X7:iS, X8:iS, X9:iS]:((((((X8)=(X9))&((X7)=(c0)))|(((X8)=(c0))&((X7)=(X9)))|?[X10:iS, X11:iS, X12:iS, X13:iS, X14:iS, X15:iS]:(((((((X7)=(cP @ X10 @ X11))&(X6 @ X10 @ X12 @ X14))&(X6 @ X11 @ X13 @ X15))&((X9)=(cP @ X14 @ X15)))&((X8)=(cP @ X12 @ X13)))))=>(X6 @ X7 @ X8 @ X9)))&$true)=>(X6 @ x @ y @ y)))=>![X6:iS > iS > iS > $o]:((($true&![X7:iS, X8:iS, X9:iS]:((((((X8)=(X9))&((X7)=(c0)))|(((X7)=(X9))&((X8)=(c0)))|?[X10:iS, X11:iS, X12:iS, X13:iS, X14:iS, X15:iS]:(((((((X7)=(cP @ X10 @ X11))&((X8)=(cP @ X12 @ X13)))&(X6 @ X11 @ X13 @ X15))&(X6 @ X10 @ X12 @ X14))&((X9)=(cP @ X14 @ X15)))))=>(X6 @ X7 @ X8 @ X9))))=>(X6 @ (cP @ x @ z) @ (cP @ y @ z) @ (cP @ y @ z))))))), inference(fof_simplification,[status(thm)],[c_0_1])). 33.14/5.22 thf(c_0_3, negated_conjecture, ![X46:iS, X47:iS, X48:iS, X49:iS, X50:iS > $o, X53:iS, X54:iS, X55:iS, X56:iS > iS > iS > $o, X67:iS, X68:iS, X69:iS, X70:iS, X71:iS, X72:iS, X73:iS, X74:iS, X75:iS]:((((((((X48)=(X49))|((cP @ X46 @ X48)!=(cP @ X47 @ X49)))&(((X46)=(X47))|((cP @ X46 @ X48)!=(cP @ X47 @ X49))))&((((X50 @ (esk1_1 @ X50))|~(X50 @ c0)|(X50 @ X53))&((X50 @ (esk2_1 @ X50))|~(X50 @ c0)|(X50 @ X53)))&(~(X50 @ (cP @ (esk1_1 @ X50) @ (esk2_1 @ X50)))|~(X50 @ c0)|(X50 @ X53))))&((cP @ X54 @ X55)!=(c0)))&(((((((((((esk3_1 @ X56)=(cP @ (esk6_1 @ X56) @ (esk7_1 @ X56)))|(((esk4_1 @ X56)=(c0))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y))&((X56 @ (esk6_1 @ X56) @ (esk8_1 @ X56) @ (esk10_1 @ X56))|(((esk4_1 @ X56)=(c0))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y)))&((X56 @ (esk7_1 @ X56) @ (esk9_1 @ X56) @ (esk11_1 @ X56))|(((esk4_1 @ X56)=(c0))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y)))&(((esk5_1 @ X56)=(cP @ (esk10_1 @ X56) @ (esk11_1 @ X56)))|(((esk4_1 @ X56)=(c0))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y)))&(((esk4_1 @ X56)=(cP @ (esk8_1 @ X56) @ (esk9_1 @ X56)))|(((esk4_1 @ X56)=(c0))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y)))&(((((((esk3_1 @ X56)=(cP @ (esk6_1 @ X56) @ (esk7_1 @ X56)))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y))&((X56 @ (esk6_1 @ X56) @ (esk8_1 @ X56) @ (esk10_1 @ X56))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y)))&((X56 @ (esk7_1 @ X56) @ (esk9_1 @ X56) @ (esk11_1 @ X56))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y)))&(((esk5_1 @ X56)=(cP @ (esk10_1 @ X56) @ (esk11_1 @ X56)))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y)))&(((esk4_1 @ X56)=(cP @ (esk8_1 @ X56) @ (esk9_1 @ X56)))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk4_1 @ X56)=(esk5_1 @ X56)))|~($true)|(X56 @ x @ y @ y))))&((((((((esk3_1 @ X56)=(cP @ (esk6_1 @ X56) @ (esk7_1 @ X56)))|(((esk4_1 @ X56)=(c0))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y))&((X56 @ (esk6_1 @ X56) @ (esk8_1 @ X56) @ (esk10_1 @ X56))|(((esk4_1 @ X56)=(c0))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y)))&((X56 @ (esk7_1 @ X56) @ (esk9_1 @ X56) @ (esk11_1 @ X56))|(((esk4_1 @ X56)=(c0))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y)))&(((esk5_1 @ X56)=(cP @ (esk10_1 @ X56) @ (esk11_1 @ X56)))|(((esk4_1 @ X56)=(c0))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y)))&(((esk4_1 @ X56)=(cP @ (esk8_1 @ X56) @ (esk9_1 @ X56)))|(((esk4_1 @ X56)=(c0))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y)))&(((((((esk3_1 @ X56)=(cP @ (esk6_1 @ X56) @ (esk7_1 @ X56)))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y))&((X56 @ (esk6_1 @ X56) @ (esk8_1 @ X56) @ (esk10_1 @ X56))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y)))&((X56 @ (esk7_1 @ X56) @ (esk9_1 @ X56) @ (esk11_1 @ X56))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y)))&(((esk5_1 @ X56)=(cP @ (esk10_1 @ X56) @ (esk11_1 @ X56)))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y)))&(((esk4_1 @ X56)=(cP @ (esk8_1 @ X56) @ (esk9_1 @ X56)))|(((esk3_1 @ X56)=(esk5_1 @ X56))|((esk3_1 @ X56)=(c0)))|~($true)|(X56 @ x @ y @ y)))))&(~(X56 @ (esk3_1 @ X56) @ (esk4_1 @ X56) @ (esk5_1 @ X56))|~($true)|(X56 @ x @ y @ y)))&((($true)&(((((X68)!=(X69))|((X67)!=(c0))|(epred1_0 @ X67 @ X68 @ X69))&(((X67)!=(X69))|((X68)!=(c0))|(epred1_0 @ X67 @ X68 @ X69)))&(((X67)!=(cP @ X70 @ X71))|((X68)!=(cP @ X72 @ X73))|~(epred1_0 @ X71 @ X73 @ X75)|~(epred1_0 @ X70 @ X72 @ X74)|((X69)!=(cP @ X74 @ X75))|(epred1_0 @ X67 @ X68 @ X69))))&~(epred1_0 @ (cP @ x @ z) @ (cP @ y @ z) @ (cP @ y @ z)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])])). 33.14/5.22 thf(c_0_4, negated_conjecture, ![X6:iS > iS > iS > $o]:(((X6 @ x @ y @ y)|~((X6 @ (esk3_1 @ X6) @ (esk4_1 @ X6) @ (esk5_1 @ X6)))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_5, negated_conjecture, ![X6:iS > iS > iS > $o]:(((X6 @ (esk7_1 @ X6) @ (esk9_1 @ X6) @ (esk11_1 @ X6))|((esk4_1 @ X6)=(c0))|((esk3_1 @ X6)=(c0))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_6, negated_conjecture, ![X1:iS, X2:iS, X3:iS]:(((epred1_0 @ X3 @ X1 @ X2)|((X1)!=(X2))|((X3)!=(c0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_7, negated_conjecture, ![X6:iS > iS > iS > $o]:(((X6 @ x @ y @ y)|~((X6 @ (esk3_1 @ X6) @ (esk4_1 @ X6) @ (esk5_1 @ X6))))), inference(cn,[status(thm)],[c_0_4])). 33.14/5.22 thf(c_0_8, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk3_1 @ X6)=(c0))|((esk4_1 @ X6)=(c0))|(X6 @ x @ y @ y)|(X6 @ (esk7_1 @ X6) @ (esk9_1 @ X6) @ (esk11_1 @ X6)))), inference(cn,[status(thm)],[c_0_5])). 33.14/5.22 thf(c_0_9, negated_conjecture, ![X6:iS > iS > iS > $o]:(((X6 @ (esk7_1 @ X6) @ (esk9_1 @ X6) @ (esk11_1 @ X6))|((esk4_1 @ X6)=(c0))|((esk4_1 @ X6)=(esk5_1 @ X6))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_10, negated_conjecture, ![X7:iS, X4:iS, X3:iS, X2:iS, X1:iS, X8:iS, X11:iS, X10:iS, X9:iS]:(((epred1_0 @ X1 @ X4 @ X11)|((X1)!=(cP @ X2 @ X3))|((X4)!=(cP @ X7 @ X8))|~((epred1_0 @ X3 @ X8 @ X9))|~((epred1_0 @ X2 @ X7 @ X10))|((X11)!=(cP @ X10 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_11, negated_conjecture, ![X1:iS, X2:iS, X3:iS]:(((epred1_0 @ X1 @ X3 @ X2)|((X1)!=(X2))|((X3)!=(c0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_12, negated_conjecture, ![X1:iS, X5:iS > $o]:(((X5 @ (esk1_1 @ X5))|(X5 @ X1)|~((X5 @ c0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_13, negated_conjecture, ![X1:iS]:((epred1_0 @ c0 @ X1 @ X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])])). 33.14/5.22 thf(c_0_14, negated_conjecture, ![X1:iS, X5:iS > $o]:(((X5 @ (esk2_1 @ X5))|(X5 @ X1)|~((X5 @ c0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_15, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(c0))|(X6 @ (esk7_1 @ X6) @ (esk9_1 @ X6) @ (esk11_1 @ X6))|(X6 @ x @ y @ y)|~((X6 @ c0 @ (esk4_1 @ X6) @ (esk5_1 @ X6))))), inference(spm,[status(thm)],[c_0_7, c_0_8])). 33.14/5.22 thf(c_0_16, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(c0))|((esk5_1 @ X6)=(esk4_1 @ X6))|(X6 @ x @ y @ y)|(X6 @ (esk7_1 @ X6) @ (esk9_1 @ X6) @ (esk11_1 @ X6)))), inference(cn,[status(thm)],[c_0_9])). 33.14/5.22 thf(c_0_17, negated_conjecture, ~((epred1_0 @ (cP @ x @ z) @ (cP @ y @ z) @ (cP @ y @ z))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_18, negated_conjecture, ![X2:iS, X8:iS, X4:iS, X3:iS, X1:iS, X7:iS]:(((epred1_0 @ (cP @ X1 @ X2) @ (cP @ X3 @ X4) @ (cP @ X7 @ X8))|~((epred1_0 @ X2 @ X4 @ X8))|~((epred1_0 @ X1 @ X3 @ X7)))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])])])). 33.14/5.22 thf(c_0_19, negated_conjecture, ![X1:iS, X5:iS > $o]:(((X5 @ X1)|~((X5 @ (cP @ (esk1_1 @ X5) @ (esk2_1 @ X5))))|~((X5 @ c0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_20, negated_conjecture, ![X1:iS]:((epred1_0 @ X1 @ c0 @ X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])])). 33.14/5.22 thf(c_0_21, negated_conjecture, ![X1:iS]:(((epred1_0 @ (esk1_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))) @ (esk1_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))) @ (esk1_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))))|(epred1_0 @ X1 @ X1 @ X1))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 33.14/5.22 thf(c_0_22, negated_conjecture, ![X1:iS]:(((epred1_0 @ (esk2_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))) @ (esk2_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))) @ (esk2_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))))|(epred1_0 @ X1 @ X1 @ X1))), inference(spm,[status(thm)],[c_0_14, c_0_13])). 33.14/5.22 thf(c_0_23, negated_conjecture, ![X6:iS > iS > iS > $o]:(((X6 @ (esk6_1 @ X6) @ (esk8_1 @ X6) @ (esk10_1 @ X6))|((esk4_1 @ X6)=(c0))|((esk3_1 @ X6)=(c0))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_24, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk5_1 @ X6)=(cP @ (esk10_1 @ X6) @ (esk11_1 @ X6)))|((esk4_1 @ X6)=(c0))|((esk3_1 @ X6)=(c0))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_25, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(c0))|(X6 @ (esk7_1 @ X6) @ (esk9_1 @ X6) @ (esk11_1 @ X6))|(X6 @ x @ y @ y)|~((X6 @ c0 @ (esk4_1 @ X6) @ (esk4_1 @ X6))))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 33.14/5.22 thf(c_0_26, negated_conjecture, (~((epred1_0 @ z @ z @ z))|~((epred1_0 @ x @ y @ y))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 33.14/5.22 thf(c_0_27, negated_conjecture, ![X1:iS]:((epred1_0 @ X1 @ X1 @ X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_18]), c_0_20])]), c_0_21]), c_0_22])). 33.14/5.22 thf(c_0_28, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk3_1 @ X6)=(c0))|((esk4_1 @ X6)=(c0))|(X6 @ x @ y @ y)|(X6 @ (esk6_1 @ X6) @ (esk8_1 @ X6) @ (esk10_1 @ X6)))), inference(cn,[status(thm)],[c_0_23])). 33.14/5.22 thf(c_0_29, negated_conjecture, ![X6:iS > iS > iS > $o]:(((X6 @ (esk6_1 @ X6) @ (esk8_1 @ X6) @ (esk10_1 @ X6))|((esk4_1 @ X6)=(c0))|((esk4_1 @ X6)=(esk5_1 @ X6))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_30, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk3_1 @ X6)=(c0))|((esk4_1 @ X6)=(c0))|((esk5_1 @ X6)=(cP @ (esk10_1 @ X6) @ (esk11_1 @ X6)))|(X6 @ x @ y @ y))), inference(cn,[status(thm)],[c_0_24])). 33.14/5.22 thf(c_0_31, negated_conjecture, (((esk4_1 @ epred1_0)=(c0))|(epred1_0 @ (esk7_1 @ epred1_0) @ (esk9_1 @ epred1_0) @ (esk11_1 @ epred1_0))|(epred1_0 @ x @ y @ y)), inference(spm,[status(thm)],[c_0_25, c_0_13])). 33.14/5.22 thf(c_0_32, negated_conjecture, ~((epred1_0 @ x @ y @ y)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])). 33.14/5.22 thf(c_0_33, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(c0))|(X6 @ (esk6_1 @ X6) @ (esk8_1 @ X6) @ (esk10_1 @ X6))|(X6 @ x @ y @ y)|~((X6 @ c0 @ (esk4_1 @ X6) @ (esk5_1 @ X6))))), inference(spm,[status(thm)],[c_0_7, c_0_28])). 33.14/5.22 thf(c_0_34, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(c0))|((esk5_1 @ X6)=(esk4_1 @ X6))|(X6 @ x @ y @ y)|(X6 @ (esk6_1 @ X6) @ (esk8_1 @ X6) @ (esk10_1 @ X6)))), inference(cn,[status(thm)],[c_0_29])). 33.14/5.22 thf(c_0_35, negated_conjecture, ![X1:iS, X4:iS, X3:iS, X2:iS, X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(c0))|((esk3_1 @ X6)=(c0))|(epred1_0 @ (cP @ X1 @ X2) @ (cP @ X3 @ X4) @ (esk5_1 @ X6))|(X6 @ x @ y @ y)|~((epred1_0 @ X2 @ X4 @ (esk11_1 @ X6)))|~((epred1_0 @ X1 @ X3 @ (esk10_1 @ X6))))), inference(spm,[status(thm)],[c_0_18, c_0_30])). 33.14/5.22 thf(c_0_36, negated_conjecture, (((esk4_1 @ epred1_0)=(c0))|(epred1_0 @ (esk7_1 @ epred1_0) @ (esk9_1 @ epred1_0) @ (esk11_1 @ epred1_0))), inference(sr,[status(thm)],[c_0_31, c_0_32])). 33.14/5.22 thf(c_0_37, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(cP @ (esk8_1 @ X6) @ (esk9_1 @ X6)))|((esk4_1 @ X6)=(c0))|((esk3_1 @ X6)=(c0))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_38, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(c0))|(X6 @ (esk6_1 @ X6) @ (esk8_1 @ X6) @ (esk10_1 @ X6))|(X6 @ x @ y @ y)|~((X6 @ c0 @ (esk4_1 @ X6) @ (esk4_1 @ X6))))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 33.14/5.22 thf(c_0_39, negated_conjecture, ![X1:iS, X2:iS]:((((esk3_1 @ epred1_0)=(c0))|((esk4_1 @ epred1_0)=(c0))|(epred1_0 @ (cP @ X1 @ (esk7_1 @ epred1_0)) @ (cP @ X2 @ (esk9_1 @ epred1_0)) @ (esk5_1 @ epred1_0))|~((epred1_0 @ X1 @ X2 @ (esk10_1 @ epred1_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_32])). 33.14/5.22 thf(c_0_40, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk3_1 @ X6)=(c0))|((esk4_1 @ X6)=(c0))|((esk4_1 @ X6)=(cP @ (esk8_1 @ X6) @ (esk9_1 @ X6)))|(X6 @ x @ y @ y))), inference(cn,[status(thm)],[c_0_37])). 33.14/5.22 thf(c_0_41, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk3_1 @ X6)=(cP @ (esk6_1 @ X6) @ (esk7_1 @ X6)))|((esk4_1 @ X6)=(c0))|((esk3_1 @ X6)=(c0))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_42, negated_conjecture, (((esk4_1 @ epred1_0)=(c0))|(epred1_0 @ (esk6_1 @ epred1_0) @ (esk8_1 @ epred1_0) @ (esk10_1 @ epred1_0))|(epred1_0 @ x @ y @ y)), inference(spm,[status(thm)],[c_0_38, c_0_13])). 33.14/5.22 thf(c_0_43, negated_conjecture, ![X1:iS]:((((esk4_1 @ epred1_0)=(c0))|((esk3_1 @ epred1_0)=(c0))|(epred1_0 @ (cP @ X1 @ (esk7_1 @ epred1_0)) @ (esk4_1 @ epred1_0) @ (esk5_1 @ epred1_0))|~((epred1_0 @ X1 @ (esk8_1 @ epred1_0) @ (esk10_1 @ epred1_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_32])). 33.14/5.22 thf(c_0_44, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk3_1 @ X6)=(c0))|((esk4_1 @ X6)=(c0))|((esk3_1 @ X6)=(cP @ (esk6_1 @ X6) @ (esk7_1 @ X6)))|(X6 @ x @ y @ y))), inference(cn,[status(thm)],[c_0_41])). 33.14/5.22 thf(c_0_45, negated_conjecture, (((esk4_1 @ epred1_0)=(c0))|(epred1_0 @ (esk6_1 @ epred1_0) @ (esk8_1 @ epred1_0) @ (esk10_1 @ epred1_0))), inference(sr,[status(thm)],[c_0_42, c_0_32])). 33.14/5.22 thf(c_0_46, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk3_1 @ X6)=(cP @ (esk6_1 @ X6) @ (esk7_1 @ X6)))|((esk4_1 @ X6)=(c0))|((esk4_1 @ X6)=(esk5_1 @ X6))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_47, negated_conjecture, (((esk3_1 @ epred1_0)=(c0))|((esk4_1 @ epred1_0)=(c0))|(epred1_0 @ (esk3_1 @ epred1_0) @ (esk4_1 @ epred1_0) @ (esk5_1 @ epred1_0))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_32]), c_0_45])). 33.14/5.22 thf(c_0_48, negated_conjecture, ![X1:iS, X2:iS]:(((cP @ X1 @ X2)!=(c0))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_49, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(c0))|((esk5_1 @ X6)=(esk4_1 @ X6))|((esk3_1 @ X6)=(cP @ (esk6_1 @ X6) @ (esk7_1 @ X6)))|(X6 @ x @ y @ y))), inference(cn,[status(thm)],[c_0_46])). 33.14/5.22 thf(c_0_50, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk4_1 @ X6)=(cP @ (esk8_1 @ X6) @ (esk9_1 @ X6)))|((esk3_1 @ X6)=(esk5_1 @ X6))|((esk3_1 @ X6)=(c0))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_51, negated_conjecture, (((esk4_1 @ epred1_0)=(c0))|((esk3_1 @ epred1_0)=(c0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_47]), c_0_32])). 33.14/5.22 thf(c_0_52, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk5_1 @ X6)=(esk4_1 @ X6))|((esk4_1 @ X6)=(c0))|(X6 @ x @ y @ y)|((esk3_1 @ X6)!=(c0)))), inference(spm,[status(thm)],[c_0_48, c_0_49])). 33.14/5.22 thf(c_0_53, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk3_1 @ X6)=(c0))|((esk5_1 @ X6)=(esk3_1 @ X6))|((esk4_1 @ X6)=(cP @ (esk8_1 @ X6) @ (esk9_1 @ X6)))|(X6 @ x @ y @ y))), inference(cn,[status(thm)],[c_0_50])). 33.14/5.22 thf(c_0_54, negated_conjecture, (((esk4_1 @ epred1_0)=(c0))|~((epred1_0 @ c0 @ (esk4_1 @ epred1_0) @ (esk5_1 @ epred1_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_51]), c_0_32])). 33.14/5.22 thf(c_0_55, negated_conjecture, (((esk5_1 @ epred1_0)=(esk4_1 @ epred1_0))|((esk4_1 @ epred1_0)=(c0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_51]), c_0_32])). 33.14/5.22 thf(c_0_56, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk5_1 @ X6)=(esk3_1 @ X6))|((esk3_1 @ X6)=(c0))|(X6 @ x @ y @ y)|((esk4_1 @ X6)!=(c0)))), inference(spm,[status(thm)],[c_0_48, c_0_53])). 33.14/5.22 thf(c_0_57, negated_conjecture, ((esk4_1 @ epred1_0)=(c0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_13])])). 33.14/5.22 thf(c_0_58, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk3_1 @ X6)=(cP @ (esk6_1 @ X6) @ (esk7_1 @ X6)))|((esk3_1 @ X6)=(esk5_1 @ X6))|((esk4_1 @ X6)=(esk5_1 @ X6))|(X6 @ x @ y @ y)|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_3])). 33.14/5.22 thf(c_0_59, negated_conjecture, (((esk5_1 @ epred1_0)=(esk3_1 @ epred1_0))|((esk3_1 @ epred1_0)=(c0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_32])). 33.14/5.22 thf(c_0_60, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk5_1 @ X6)=(esk3_1 @ X6))|((esk5_1 @ X6)=(esk4_1 @ X6))|((esk3_1 @ X6)=(cP @ (esk6_1 @ X6) @ (esk7_1 @ X6)))|(X6 @ x @ y @ y))), inference(cn,[status(thm)],[c_0_58])). 33.14/5.22 thf(c_0_61, negated_conjecture, ~((epred1_0 @ (esk3_1 @ epred1_0) @ c0 @ (esk5_1 @ epred1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_57]), c_0_32])). 33.14/5.22 thf(c_0_62, negated_conjecture, ((esk3_1 @ epred1_0)=(c0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_59]), c_0_57]), c_0_20])]), c_0_32])). 33.14/5.22 thf(c_0_63, negated_conjecture, ![X6:iS > iS > iS > $o]:((((esk5_1 @ X6)=(esk4_1 @ X6))|((esk5_1 @ X6)=(esk3_1 @ X6))|(X6 @ x @ y @ y)|((esk3_1 @ X6)!=(c0)))), inference(spm,[status(thm)],[c_0_48, c_0_60])). 33.14/5.22 thf(c_0_64, negated_conjecture, ~((epred1_0 @ c0 @ c0 @ (esk5_1 @ epred1_0))), inference(rw,[status(thm)],[c_0_61, c_0_62])). 33.14/5.22 thf(c_0_65, negated_conjecture, ((esk5_1 @ epred1_0)=(c0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_62]), c_0_57])]), c_0_32])). 33.14/5.22 thf(c_0_66, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65]), c_0_20])]), ['proof']). 33.14/5.22 % SZS output end CNFRefutation 33.14/5.22 % Parsed axioms : 7 33.14/5.22 % Removed by relevancy pruning/SinE : 0 33.14/5.22 % Initial clauses : 38 33.14/5.22 % Removed in clause preprocessing : 7 33.14/5.22 % Initial clauses in saturation : 31 33.14/5.22 % Processed clauses : 656 33.14/5.22 % ...of these trivial : 0 33.14/5.22 % ...subsumed : 305 33.14/5.22 % ...remaining for further processing : 351 33.14/5.22 % Other redundant clauses eliminated : 59 33.14/5.22 % Clauses deleted for lack of memory : 0 33.14/5.22 % Backward-subsumed : 19 33.14/5.22 % Backward-rewritten : 34 33.14/5.22 % Generated clauses : 11558 33.14/5.22 % ...of the previous two non-redundant : 11037 33.14/5.22 % ...aggressively subsumed : 0 33.14/5.22 % Contextual simplify-reflections : 3 33.14/5.22 % Paramodulations : 11293 33.14/5.22 % Factorizations : 41 33.14/5.22 % NegExts : 0 33.14/5.22 % Equation resolutions : 149 33.14/5.22 % Disequality decompositions : 0 33.14/5.22 % Total rewrite steps : 284 33.14/5.22 % ...of those cached : 255 33.14/5.22 % Propositional unsat checks : 0 33.14/5.22 % Propositional check models : 0 33.14/5.22 % Propositional check unsatisfiable : 0 33.14/5.22 % Propositional clauses : 0 33.14/5.22 % Propositional clauses after purity: 0 33.14/5.22 % Propositional unsat core size : 0 33.14/5.22 % Propositional preprocessing time : 0.000 33.14/5.22 % Propositional encoding time : 0.000 33.14/5.22 % Propositional solver time : 0.000 33.14/5.22 % Success case prop preproc time : 0.000 33.14/5.22 % Success case prop encoding time : 0.000 33.14/5.22 % Success case prop solver time : 0.000 33.14/5.22 % Current number of processed clauses : 262 33.14/5.22 % Positive orientable unit clauses : 14 33.14/5.22 % Positive unorientable unit clauses: 0 33.14/5.22 % Negative unit clauses : 3 33.14/5.22 % Non-unit-clauses : 245 33.14/5.22 % Current number of unprocessed clauses: 10000 33.14/5.22 % ...number of literals in the above : 76015 33.14/5.22 % Current number of archived formulas : 0 33.14/5.22 % Current number of archived clauses : 86 33.14/5.22 % Clause-clause subsumption calls (NU) : 12127 33.14/5.22 % Rec. Clause-clause subsumption calls : 1347 33.14/5.22 % Non-unit clause-clause subsumptions : 303 33.14/5.22 % Unit Clause-clause subsumption calls : 745 33.14/5.22 % Rewrite failures with RHS unbound : 0 33.14/5.22 % BW rewrite match attempts : 35 33.14/5.22 % BW rewrite match successes : 15 33.14/5.22 % Condensation attempts : 0 33.14/5.22 % Condensation successes : 0 33.14/5.22 % Termbank termtop insertions : 6675769 33.14/5.22 % Search garbage collected termcells : 1030 33.14/5.22 33.14/5.22 % ------------------------------------------------- 33.14/5.22 % User time : 4.674 s 33.14/5.22 % System time : 0.034 s 33.14/5.22 % Total time : 4.708 s 33.14/5.22 % Maximum resident set size: 3396 pages 33.14/5.22 33.14/5.22 % ------------------------------------------------- 33.14/5.22 % User time : 4.676 s 33.14/5.22 % System time : 0.039 s 33.14/5.22 % Total time : 4.715 s 33.14/5.22 % Maximum resident set size: 4864 pages 33.14/5.22 % E exiting 33.14/5.23 EOF