0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n029.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 03:27:09 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.47 Running higher-order on 8 cores theorem proving 0.19/0.47 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/0.47 # Version: 3.0pre003-ho 0.19/0.50 # Preprocessing class: HSSSSMSSSSMNHHA. 0.19/0.50 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.50 # Starting post_as_ho5 with 600s (5) cores 0.19/0.50 # Starting sh2lt with 120s (1) cores 0.19/0.50 # Starting ehoh_best8_lambda with 120s (1) cores 0.19/0.50 # Starting post_as_ho10 with 120s (1) cores 0.19/0.50 # sh2lt with pid 10503 completed with status 0 0.19/0.50 # Result found by sh2lt 0.19/0.50 # Preprocessing class: HSSSSMSSSSMNHHA. 0.19/0.50 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.50 # Starting post_as_ho5 with 600s (5) cores 0.19/0.50 # Starting sh2lt with 120s (1) cores 0.19/0.50 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.19/0.50 # ...ProofStateSinE()=1/1 0.19/0.50 # Search class: HGHSS-FFMF22-SHHFFSBN 0.19/0.50 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.50 # Starting lpo8_lambda_fix with 65s (1) cores 0.19/0.50 # lpo8_lambda_fix with pid 10513 completed with status 0 0.19/0.50 # Result found by lpo8_lambda_fix 0.19/0.50 # Preprocessing class: HSSSSMSSSSMNHHA. 0.19/0.50 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.50 # Starting post_as_ho5 with 600s (5) cores 0.19/0.50 # Starting sh2lt with 120s (1) cores 0.19/0.50 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.19/0.50 # ...ProofStateSinE()=1/1 0.19/0.50 # Search class: HGHSS-FFMF22-SHHFFSBN 0.19/0.50 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.50 # Starting lpo8_lambda_fix with 65s (1) cores 0.19/0.50 # Preprocessing time : 0.001 s 0.19/0.50 # Presaturation interreduction done 0.19/0.50 0.19/0.50 # Proof found! 0.19/0.50 # SZS status Theorem 0.19/0.50 # SZS output start CNFRefutation 0.19/0.50 thf(decl_22, type, epred1_0: $i > $o). 0.19/0.50 thf(decl_23, type, esk1_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i). 0.19/0.50 thf(decl_24, type, esk2_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i > $i). 0.19/0.50 thf(decl_25, type, esk3_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i > $i). 0.19/0.50 thf(decl_26, type, esk4_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i). 0.19/0.50 thf(decl_27, type, esk5_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i). 0.19/0.50 thf(decl_28, type, esk6_2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i > $i). 0.19/0.50 thf(decl_29, type, esk7_0: $i > $i). 0.19/0.50 thf(decl_30, type, esk8_1: (($i > $i) > $i > $o) > $i). 0.19/0.50 thf(decl_31, type, esk9_1: (($i > $i) > $i > $o) > $i). 0.19/0.50 thf(decl_32, type, esk10_3: $i > $i > $i > $i). 0.19/0.50 thf(decl_33, type, esk11_2: $i > $i > $i). 0.19/0.50 thf(decl_34, type, esk12_3: $i > $i > $i > $i). 0.19/0.50 thf(decl_35, type, esk13_2: $i > $i > $i). 0.19/0.50 thf(decl_36, type, esk14_3: $i > $i > $i > $i). 0.19/0.50 thf(decl_37, type, esk15_2: $i > $i > $i). 0.19/0.50 thf(decl_38, type, esk16_3: $i > $i > $i > $i). 0.19/0.50 thf(decl_39, type, esk17_2: $i > $i > $i). 0.19/0.50 thf(decl_40, type, esk18_3: $i > $i > $i > $i). 0.19/0.50 thf(decl_41, type, esk19_2: $i > $i > $i). 0.19/0.50 thf(decl_42, type, esk20_3: $i > $i > $i > $i). 0.19/0.50 thf(decl_43, type, esk21_2: $i > $i > $i). 0.19/0.50 thf(decl_44, type, esk22_2: $i > $i > $i). 0.19/0.50 thf(decl_45, type, esk23_2: $i > $i > $i). 0.19/0.50 thf(decl_46, type, esk24_0: $i). 0.19/0.50 thf(cTHM112D, conjecture, ![X1:$i > $o]:(?[X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:((![X4:$i]:(((X2 @ (^[X5:$i]:(X5)) @ X4)|(X3 @ (^[X5:$i]:(X5)) @ X4)))&![X6:$i > $i, X7:$i > $i]:((((![X4:$i]:(((X3 @ X6 @ X4)|(X2 @ X6 @ X4)))&![X4:$i]:(((X2 @ X7 @ X4)|(X3 @ X7 @ X4))))&![X4:$i]:(((X3 @ X6 @ X4)|(X2 @ X6 @ X4))))=>(![X4:$i]:(((X3 @ (^[X5:$i]:(X6 @ (X7 @ X5))) @ X4)|(X2 @ (^[X5:$i]:(X6 @ (X7 @ X5))) @ X4)))&![X8:$i]:(((X1 @ X8)=>(X1 @ (X6 @ X8)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cTHM112D)). 0.19/0.50 thf(c_0_1, negated_conjecture, ~(![X1:$i > $o]:(?[X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:((![X4:$i]:(((X2 @ (^[Z0:$i]:(Z0)) @ X4)|(X3 @ (^[Z0:$i]:(Z0)) @ X4)))&![X6:$i > $i, X7:$i > $i]:((((![X4:$i]:(((X3 @ X6 @ X4)|(X2 @ X6 @ X4)))&![X4:$i]:(((X2 @ X7 @ X4)|(X3 @ X7 @ X4))))&![X4:$i]:(((X3 @ X6 @ X4)|(X2 @ X6 @ X4))))=>(![X4:$i]:(((X3 @ (^[Z0:$i]:(X6 @ (X7 @ Z0))) @ X4)|(X2 @ (^[Z0:$i]:(X6 @ (X7 @ Z0))) @ X4)))&![X8:$i]:(((X1 @ X8)=>(X1 @ (X6 @ X8))))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM112D])])). 0.19/0.50 thf(c_0_2, negated_conjecture, ![X21:($i > $i) > $i > $o, X22:($i > $i) > $i > $o, X26:$i, X27:$i, X28:$i]:(((((((X22 @ (esk2_2 @ X21 @ X22) @ X26)|(X21 @ (esk2_2 @ X21 @ X22) @ X26)|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22)))&((X21 @ (esk3_2 @ X21 @ X22) @ X27)|(X22 @ (esk3_2 @ X21 @ X22) @ X27)|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22))))&((X22 @ (esk2_2 @ X21 @ X22) @ X28)|(X21 @ (esk2_2 @ X21 @ X22) @ X28)|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22))))&((((epred1_0 @ (esk5_2 @ X21 @ X22))|~(X22 @ (^[Z0:$i]:(esk2_2 @ X21 @ X22 @ (esk3_2 @ X21 @ X22 @ Z0))) @ (esk4_2 @ X21 @ X22))|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22)))&(~(epred1_0 @ (esk2_2 @ X21 @ X22 @ (esk5_2 @ X21 @ X22)))|~(X22 @ (^[Z0:$i]:(esk2_2 @ X21 @ X22 @ (esk3_2 @ X21 @ X22 @ Z0))) @ (esk4_2 @ X21 @ X22))|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22))))&(((epred1_0 @ (esk5_2 @ X21 @ X22))|~(X21 @ (^[Z0:$i]:(esk2_2 @ X21 @ X22 @ (esk3_2 @ X21 @ X22 @ Z0))) @ (esk4_2 @ X21 @ X22))|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22)))&(~(epred1_0 @ (esk2_2 @ X21 @ X22 @ (esk5_2 @ X21 @ X22)))|~(X21 @ (^[Z0:$i]:(esk2_2 @ X21 @ X22 @ (esk3_2 @ X21 @ X22 @ Z0))) @ (esk4_2 @ X21 @ X22))|~(X21 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22))))))&(((((X22 @ (esk2_2 @ X21 @ X22) @ X26)|(X21 @ (esk2_2 @ X21 @ X22) @ X26)|~(X22 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22)))&((X21 @ (esk3_2 @ X21 @ X22) @ X27)|(X22 @ (esk3_2 @ X21 @ X22) @ X27)|~(X22 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22))))&((X22 @ (esk2_2 @ X21 @ X22) @ X28)|(X21 @ (esk2_2 @ X21 @ X22) @ X28)|~(X22 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22))))&((((epred1_0 @ (esk5_2 @ X21 @ X22))|~(X22 @ (^[Z0:$i]:(esk2_2 @ X21 @ X22 @ (esk3_2 @ X21 @ X22 @ Z0))) @ (esk4_2 @ X21 @ X22))|~(X22 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22)))&(~(epred1_0 @ (esk2_2 @ X21 @ X22 @ (esk5_2 @ X21 @ X22)))|~(X22 @ (^[Z0:$i]:(esk2_2 @ X21 @ X22 @ (esk3_2 @ X21 @ X22 @ Z0))) @ (esk4_2 @ X21 @ X22))|~(X22 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22))))&(((epred1_0 @ (esk5_2 @ X21 @ X22))|~(X21 @ (^[Z0:$i]:(esk2_2 @ X21 @ X22 @ (esk3_2 @ X21 @ X22 @ Z0))) @ (esk4_2 @ X21 @ X22))|~(X22 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22)))&(~(epred1_0 @ (esk2_2 @ X21 @ X22 @ (esk5_2 @ X21 @ X22)))|~(X21 @ (^[Z0:$i]:(esk2_2 @ X21 @ X22 @ (esk3_2 @ X21 @ X22 @ Z0))) @ (esk4_2 @ X21 @ X22))|~(X22 @ (^[Z0:$i]:(Z0)) @ (esk1_2 @ X21 @ X22)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])). 0.19/0.50 thf(c_0_3, plain, ![X32:$i]:(((esk7_0 @ X32)=(X32))), introduced(definition)). 0.19/0.50 thf(c_0_4, negated_conjecture, ![X4:$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_2]), c_0_3])). 0.19/0.50 thf(c_0_5, negated_conjecture, ![X2:($i > $i) > $i > $o, X4:$i, X3:($i > $i) > $i > $o]:(((X2 @ (esk3_2 @ X2 @ X3) @ X4)|(X3 @ (esk3_2 @ X2 @ X3) @ X4)|~((((X3 @ esk7_0 @ (esk1_2 @ X2 @ X3)))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 0.19/0.50 thf(c_0_6, negated_conjecture, ![X4:$i, X3:($i > $i) > $i > $o, X2:($i > $i) > $i > $o]:(((X2 @ (esk2_2 @ X3 @ X2) @ X4)|(X3 @ (esk2_2 @ X3 @ X2) @ X4)|~((X3 @ esk7_0 @ (esk1_2 @ X3 @ X2))))), inference(cn,[status(thm)],[c_0_4])). 0.19/0.50 thf(c_0_7, plain, ![X56:$i]:(((esk7_0 @ X56)=(X56))), inference(variable_rename,[status(thm)],[])). 0.19/0.50 thf(c_0_8, negated_conjecture, ![X2:($i > $i) > $i > $o, X4:$i, X3:($i > $i) > $i > $o]:(((X2 @ (esk3_2 @ X2 @ X3) @ X4)|(X3 @ (esk3_2 @ X2 @ X3) @ X4)|~((X3 @ esk7_0 @ (esk1_2 @ X2 @ X3))))), inference(cn,[status(thm)],[c_0_5])). 0.19/0.50 thf(c_0_9, plain, ![X53:$i, X54:($i > $i) > $i > $o, X55:($i > $i) > $i > $o]:(((esk6_2 @ X55 @ X54 @ X53)=(esk2_2 @ X54 @ X55 @ (esk3_2 @ X54 @ X55 @ X53)))), inference(variable_rename,[status(thm)],[])). 0.19/0.50 thf(c_0_10, negated_conjecture, ![X2:($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])). 0.19/0.50 thf(c_0_11, plain, ![X4:$i]:(((esk7_0 @ X4)=(X4))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.19/0.50 thf(c_0_12, plain, ![X31:$i, X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:(((esk6_2 @ X3 @ X2 @ X31)=(esk2_2 @ X2 @ X3 @ (esk3_2 @ X2 @ X3 @ X31)))), introduced(definition)). 0.19/0.50 thf(c_0_13, negated_conjecture, ![X2:($i > $i) > $i > $o, X4:$i]:((((esk3_2 @ X2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))|(X2 @ (esk3_2 @ X2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0))))) @ X4))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])). 0.19/0.50 thf(c_0_14, 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_9])). 0.19/0.50 thf(c_0_15, 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_10]), c_0_11])). 0.19/0.50 thf(c_0_16, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:((~((epred1_0 @ (esk2_2 @ X2 @ X3 @ (esk5_2 @ X2 @ X3))))|~((((X2 @ (esk6_2 @ X3 @ X2) @ (esk4_2 @ X2 @ X3)))=(($true))))|~((((X2 @ esk7_0 @ (esk1_2 @ X2 @ X3)))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_12])). 0.19/0.50 thf(c_0_17, negated_conjecture, ![X2:($i > $i) > $i > $o, X4:$i, X5:$i]:((((esk3_2 @ X2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X4)=(X4))|(X2 @ (esk3_2 @ X2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0))))) @ X5))), inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_13]), c_0_11])). 0.19/0.50 thf(c_0_18, 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_14, c_0_15])). 0.19/0.50 thf(c_0_19, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:((~((epred1_0 @ (esk2_2 @ X2 @ X3 @ (esk5_2 @ X2 @ X3))))|~((X2 @ (esk6_2 @ X3 @ X2) @ (esk4_2 @ X2 @ X3)))|~((X2 @ esk7_0 @ (esk1_2 @ X2 @ X3))))), inference(cn,[status(thm)],[c_0_16])). 0.19/0.50 thf(c_0_20, negated_conjecture, ![X4:$i]:((((esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))|((esk3_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))|((esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X4)=(X4)))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18])])). 0.19/0.50 thf(c_0_21, 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 @ (esk5_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_15])])])). 0.19/0.50 thf(c_0_22, negated_conjecture, ![X4:$i, X5:$i]:((((esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X4)=(X4))|((esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))|((esk3_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X5)=(X5)))), inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_20]), c_0_11])). 0.19/0.50 thf(c_0_23, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:(((epred1_0 @ (esk5_2 @ X2 @ X3))|~((((X2 @ (esk6_2 @ X3 @ X2) @ (esk4_2 @ X2 @ X3)))=(($true))))|~((((X2 @ esk7_0 @ (esk1_2 @ X2 @ X3)))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_12])). 0.19/0.50 thf(c_0_24, plain, ![X2:($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_18])). 0.19/0.50 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)))) @ (esk8_1 @ X2))!=(esk8_1 @ X2))|~((epred1_0 @ (esk5_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X2))))), inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_21]), c_0_11])). 0.19/0.50 thf(c_0_26, plain, ![X4:$i]:((((esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))|((esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X4)=(X4)))), inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_22])])])])). 0.19/0.50 thf(c_0_27, negated_conjecture, ![X2:($i > $i) > $i > $o, X3:($i > $i) > $i > $o]:(((epred1_0 @ (esk5_2 @ X2 @ X3))|~((X2 @ (esk6_2 @ X3 @ X2) @ (esk4_2 @ X2 @ X3)))|~((X2 @ esk7_0 @ (esk1_2 @ X2 @ X3))))), inference(cn,[status(thm)],[c_0_23])). 0.19/0.50 thf(c_0_28, negated_conjecture, (((esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))|((esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_24])])])). 0.19/0.50 thf(c_0_29, negated_conjecture, (((esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0))|~((epred1_0 @ (esk5_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26])])])). 0.19/0.50 thf(c_0_30, negated_conjecture, ((esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28])])]), c_0_29])). 0.19/0.50 thf(c_0_31, negated_conjecture, ![X4:$i]:(((esk2_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X4)=(X4))), inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_30]), c_0_11])). 0.19/0.50 thf(c_0_32, plain, ![X4:$i]:(((esk3_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X4)=(esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ X4))), inference(spm,[status(thm)],[c_0_14, c_0_31])). 0.19/0.50 thf(c_0_33, plain, ((esk3_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))), inference(pos_ext,[status(thm)],[c_0_32])). 0.19/0.50 thf(c_0_34, negated_conjecture, (((esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))!=(esk7_0))|~((epred1_0 @ (esk5_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_31])])])). 0.19/0.50 thf(c_0_35, negated_conjecture, ((esk6_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))))=(esk7_0)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_33])])])). 0.19/0.50 thf(c_0_36, negated_conjecture, ~((epred1_0 @ (esk5_2 @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0)))) @ (^[Z0:$i > $i, Z1:$i]:(((Z0)=(esk7_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])). 0.19/0.50 thf(c_0_37, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_35])])]), c_0_36]), ['proof']). 0.19/0.50 # SZS output end CNFRefutation 0.19/0.50 # Parsed axioms : 1 0.19/0.50 # Removed by relevancy pruning/SinE : 0 0.19/0.50 # Initial clauses : 16 0.19/0.50 # Removed in clause preprocessing : 0 0.19/0.50 # Initial clauses in saturation : 16 0.19/0.50 # Processed clauses : 107 0.19/0.50 # ...of these trivial : 0 0.19/0.50 # ...subsumed : 24 0.19/0.50 # ...remaining for further processing : 82 0.19/0.50 # Other redundant clauses eliminated : 15 0.19/0.50 # Clauses deleted for lack of memory : 0 0.19/0.50 # Backward-subsumed : 3 0.19/0.50 # Backward-rewritten : 7 0.19/0.50 # Generated clauses : 174 0.19/0.50 # ...of the previous two non-redundant : 124 0.19/0.50 # ...aggressively subsumed : 0 0.19/0.50 # Contextual simplify-reflections : 1 0.19/0.50 # Paramodulations : 88 0.19/0.50 # Factorizations : 0 0.19/0.50 # NegExts : 17 0.19/0.50 # Equation resolutions : 23 0.19/0.50 # Propositional unsat checks : 0 0.19/0.50 # Propositional check models : 0 0.19/0.50 # Propositional check unsatisfiable : 0 0.19/0.50 # Propositional clauses : 0 0.19/0.50 # Propositional clauses after purity: 0 0.19/0.50 # Propositional unsat core size : 0 0.19/0.50 # Propositional preprocessing time : 0.000 0.19/0.50 # Propositional encoding time : 0.000 0.19/0.50 # Propositional solver time : 0.000 0.19/0.50 # Success case prop preproc time : 0.000 0.19/0.50 # Success case prop encoding time : 0.000 0.19/0.50 # Success case prop solver time : 0.000 0.19/0.50 # Current number of processed clauses : 54 0.19/0.50 # Positive orientable unit clauses : 7 0.19/0.50 # Positive unorientable unit clauses: 0 0.19/0.50 # Negative unit clauses : 1 0.19/0.50 # Non-unit-clauses : 46 0.19/0.50 # Current number of unprocessed clauses: 46 0.19/0.50 # ...number of literals in the above : 125 0.19/0.50 # Current number of archived formulas : 0 0.19/0.50 # Current number of archived clauses : 28 0.19/0.50 # Clause-clause subsumption calls (NU) : 554 0.19/0.50 # Rec. Clause-clause subsumption calls : 377 0.19/0.50 # Non-unit clause-clause subsumptions : 28 0.19/0.50 # Unit Clause-clause subsumption calls : 93 0.19/0.50 # Rewrite failures with RHS unbound : 0 0.19/0.50 # BW rewrite match attempts : 11 0.19/0.50 # BW rewrite match successes : 4 0.19/0.50 # Condensation attempts : 107 0.19/0.50 # Condensation successes : 1 0.19/0.50 # Termbank termtop insertions : 19664 0.19/0.50 0.19/0.50 # ------------------------------------------------- 0.19/0.50 # User time : 0.018 s 0.19/0.50 # System time : 0.004 s 0.19/0.50 # Total time : 0.022 s 0.19/0.50 # Maximum resident set size: 1968 pages 0.19/0.50 0.19/0.50 # ------------------------------------------------- 0.19/0.50 # User time : 0.019 s 0.19/0.50 # System time : 0.005 s 0.19/0.50 # Total time : 0.025 s 0.19/0.50 # Maximum resident set size: 1720 pages 0.19/0.50 EOF