0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n006.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 03:05:44 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 2.33/0.77 # Preprocessing class: HSSSSMSSSSMNHHA. 2.33/0.77 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 2.33/0.77 # Starting post_as_ho5 with 600s (5) cores 2.33/0.77 # Starting sh2lt with 120s (1) cores 2.33/0.77 # Starting ehoh_best8_lambda with 120s (1) cores 2.33/0.77 # Starting post_as_ho10 with 120s (1) cores 2.33/0.77 # post_as_ho5 with pid 11150 completed with status 0 2.33/0.77 # Result found by post_as_ho5 2.33/0.77 # Preprocessing class: HSSSSMSSSSMNHHA. 2.33/0.77 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 2.33/0.77 # Starting post_as_ho5 with 600s (5) cores 2.33/0.77 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 2.33/0.77 # ...ProofStateSinE()=1/1 2.33/0.77 # Search class: HGUNF-FFMF22-SHHFFMBN 2.33/0.77 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 2.33/0.77 # Starting ehoh_best_nonlift with 325s (1) cores 2.33/0.77 # Starting post_as_ho5 with 61s (1) cores 2.33/0.77 # Starting sh2l with 55s (1) cores 2.33/0.77 # Starting lpo1_def_fix with 55s (1) cores 2.33/0.77 # Starting ehoh_best3_rw with 55s (1) cores 2.33/0.77 # ehoh_best3_rw with pid 11160 completed with status 0 2.33/0.77 # Result found by ehoh_best3_rw 2.33/0.77 # Preprocessing class: HSSSSMSSSSMNHHA. 2.33/0.77 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 2.33/0.77 # Starting post_as_ho5 with 600s (5) cores 2.33/0.77 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 2.33/0.77 # ...ProofStateSinE()=1/1 2.33/0.77 # Search class: HGUNF-FFMF22-SHHFFMBN 2.33/0.77 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 2.33/0.77 # Starting ehoh_best_nonlift with 325s (1) cores 2.33/0.77 # Starting post_as_ho5 with 61s (1) cores 2.33/0.77 # Starting sh2l with 55s (1) cores 2.33/0.77 # Starting lpo1_def_fix with 55s (1) cores 2.33/0.77 # Starting ehoh_best3_rw with 55s (1) cores 2.33/0.77 # Preprocessing time : 0.001 s 2.33/0.77 # Presaturation interreduction done 2.33/0.77 2.33/0.77 # Proof found! 2.33/0.77 # SZS status Theorem 2.33/0.77 # SZS output start CNFRefutation 2.33/0.77 thf(decl_22, type, epred1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 2.33/0.77 thf(decl_23, type, esk1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_24, type, epred2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 2.33/0.77 thf(decl_25, type, epred3_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 2.33/0.77 thf(decl_26, type, epred4_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 2.33/0.77 thf(decl_27, type, esk2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_28, type, esk3_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_29, type, esk4_0: $i). 2.33/0.77 thf(decl_30, type, esk5_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_31, type, esk6_0: $i). 2.33/0.77 thf(decl_32, type, esk7_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_33, type, esk8_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_34, type, esk9_0: $i). 2.33/0.77 thf(decl_35, type, esk10_0: $i). 2.33/0.77 thf(decl_36, type, esk11_0: $i). 2.33/0.77 thf(decl_37, type, esk12_0: $i). 2.33/0.77 thf(decl_38, type, esk13_0: $i). 2.33/0.77 thf(decl_39, type, esk14_0: $i). 2.33/0.77 thf(decl_40, type, esk15_0: $i). 2.33/0.77 thf(decl_41, type, esk16_0: $i). 2.33/0.77 thf(decl_42, type, esk17_0: $i). 2.33/0.77 thf(decl_43, type, esk18_0: $i). 2.33/0.77 thf(decl_44, type, esk19_2: (($i > $o) > ($i > $o) > $i > $i) > (($i > $o) > ($i > $o) > $i > $i) > $i). 2.33/0.77 thf(decl_45, type, esk20_1: $i > $i). 2.33/0.77 thf(decl_46, type, esk21_1: $i > $i). 2.33/0.77 thf(decl_47, type, esk22_0: $i). 2.33/0.77 thf(decl_48, type, esk23_2: (($i > $o) > ($i > $o) > $i > $i) > (($i > $o) > ($i > $o) > $i > $i) > $i). 2.33/0.77 thf(decl_49, type, esk24_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_50, type, esk25_0: $i). 2.33/0.77 thf(decl_51, type, esk26_0: $i). 2.33/0.77 thf(decl_52, type, esk27_0: $i). 2.33/0.77 thf(decl_53, type, esk28_0: $i). 2.33/0.77 thf(decl_54, type, esk29_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_55, type, esk30_1: $i > $i). 2.33/0.77 thf(decl_56, type, esk31_1: $i > $i). 2.33/0.77 thf(decl_57, type, esk32_1: $i > $i). 2.33/0.77 thf(decl_58, type, esk33_0: $i). 2.33/0.77 thf(decl_59, type, esk34_0: $i). 2.33/0.77 thf(decl_60, type, esk35_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_61, type, esk36_0: $i). 2.33/0.77 thf(decl_62, type, esk37_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 2.33/0.77 thf(decl_63, type, esk38_0: $i). 2.33/0.77 thf(decl_64, type, esk39_0: $i). 2.33/0.77 thf(decl_65, type, esk40_0: $i). 2.33/0.77 thf(cTHM120C_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((~(![X3:$i]:(((X1 @ (^[X4:$i]:(($true))) @ (^[X4:$i]:(~($true))) @ X3)|(X2 @ (^[X4:$i]:(($true))) @ (^[X4:$i]:(~($true))) @ X3))))&![X5:$i > $o, X3:$i]:(((X2 @ X5 @ X5 @ X3)|(X1 @ X5 @ X5 @ X3))))&![X6:$i > $o, X7:$i > $o, X8:$i > $o]:((![X3:$i]:(((X1 @ X6 @ X8 @ X3)|(X2 @ X6 @ X8 @ X3)))<=(![X3:$i]:(((X1 @ X6 @ X7 @ X3)|(X2 @ X6 @ X7 @ X3)))&![X3:$i]:(((X1 @ X7 @ X8 @ X3)|(X2 @ X7 @ X8 @ X3)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cTHM120C_pme)). 2.33/0.77 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((~(![X3:$i]:(((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3))))&![X5:$i > $o, X3:$i]:(((X2 @ X5 @ X5 @ X3)|(X1 @ X5 @ X5 @ X3))))&![X6:$i > $o, X7:$i > $o, X8:$i > $o]:(((![X3:$i]:(((X1 @ X6 @ X7 @ X3)|(X2 @ X6 @ X7 @ X3)))&![X3:$i]:(((X1 @ X7 @ X8 @ X3)|(X2 @ X7 @ X8 @ X3))))=>![X3:$i]:(((X1 @ X6 @ X8 @ X3)|(X2 @ X6 @ X8 @ X3)))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM120C_pme])])])). 2.33/0.77 thf(c_0_2, negated_conjecture, ![X20:($i > $o) > ($i > $o) > $i > $o, X21:($i > $o) > ($i > $o) > $i > $o, X22:$i, X28:$i, X29:$i]:((((((X20 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X28)|(X21 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X28)|(~(X21 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)|(X21 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22))))&((X20 @ (epred3_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ X29)|(X21 @ (epred3_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ X29)|(~(X21 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)|(X21 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)))))&((~(X20 @ (epred2_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|(~(X21 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)|(X21 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22))))&(~(X21 @ (epred2_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|(~(X21 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)|(X21 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22))))))&((((X20 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X28)|(X21 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X28)|(~(X20 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)|(X21 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22))))&((X20 @ (epred3_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ X29)|(X21 @ (epred3_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ X29)|(~(X20 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)|(X21 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)))))&((~(X20 @ (epred2_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|(~(X20 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)|(X21 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22))))&(~(X21 @ (epred2_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|(~(X20 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X22)|(X21 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ 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])])])])])). 2.33/0.77 thf(c_0_3, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X3)|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 2.33/0.77 thf(c_0_4, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X3)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X3)|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 2.33/0.77 thf(c_0_5, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_3])). 2.33/0.77 thf(c_0_6, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_4])). 2.33/0.77 thf(c_0_7, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|~((X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (esk2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_5])). 2.33/0.77 thf(c_0_8, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X3)|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 2.33/0.77 thf(c_0_9, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)!=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_6])). 2.33/0.77 thf(c_0_10, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|~((X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (esk2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_7])])). 2.33/0.77 thf(c_0_11, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X4)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X4)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 2.33/0.77 thf(c_0_12, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_8])). 2.33/0.77 thf(c_0_13, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X2 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X4)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(((($true))!=(($true))))) @ X4)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 2.33/0.77 thf(c_0_14, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)!=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_9])])). 2.33/0.77 thf(c_0_15, negated_conjecture, (((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~(Z0))))=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~(Z0)))))|((^[Z0:$i]:(~($true)))!=(^[Z0:$i]:(($true))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_10])). 2.33/0.77 thf(c_0_16, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_11])). 2.33/0.77 thf(c_0_17, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|((epred4_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_12])). 2.33/0.77 thf(c_0_18, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X2 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_13])). 2.33/0.77 thf(c_0_19, negated_conjecture, ((^[Z0:$i]:(~($true)))!=(^[Z0:$i]:(($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15])])])). 2.33/0.77 thf(c_0_20, negated_conjecture, ![X4:$i, X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1) @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X1 @ (epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1) @ (epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1) @ (esk1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1))))), inference(primitive_enumeration,[status(thm)],[c_0_16])). 2.33/0.77 thf(c_0_21, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|((epred4_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_17])])). 2.33/0.77 thf(c_0_22, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred4_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(X1 @ (epred3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred4_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_18]), c_0_19])). 2.33/0.77 thf(c_0_23, negated_conjecture, ((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_20]), c_0_19])). 2.33/0.77 thf(c_0_24, negated_conjecture, ((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))), inference(primitive_enumeration,[status(thm)],[c_0_21])). 2.33/0.77 thf(c_0_25, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[c_0_22]), c_0_23]), c_0_24]), ['proof']). 2.33/0.77 # SZS output end CNFRefutation 2.33/0.77 # Parsed axioms : 1 2.33/0.77 # Removed by relevancy pruning/SinE : 0 2.33/0.77 # Initial clauses : 8 2.33/0.77 # Removed in clause preprocessing : 0 2.33/0.77 # Initial clauses in saturation : 8 2.33/0.77 # Processed clauses : 499 2.33/0.77 # ...of these trivial : 30 2.33/0.77 # ...subsumed : 143 2.33/0.77 # ...remaining for further processing : 326 2.33/0.77 # Other redundant clauses eliminated : 74 2.33/0.77 # Clauses deleted for lack of memory : 0 2.33/0.77 # Backward-subsumed : 53 2.33/0.77 # Backward-rewritten : 15 2.33/0.77 # Generated clauses : 2833 2.33/0.77 # ...of the previous two non-redundant : 2062 2.33/0.77 # ...aggressively subsumed : 0 2.33/0.77 # Contextual simplify-reflections : 4 2.33/0.77 # Paramodulations : 1747 2.33/0.77 # Factorizations : 5 2.33/0.77 # NegExts : 38 2.33/0.77 # Equation resolutions : 74 2.33/0.77 # Propositional unsat checks : 0 2.33/0.77 # Propositional check models : 0 2.33/0.77 # Propositional check unsatisfiable : 0 2.33/0.77 # Propositional clauses : 0 2.33/0.77 # Propositional clauses after purity: 0 2.33/0.77 # Propositional unsat core size : 0 2.33/0.77 # Propositional preprocessing time : 0.000 2.33/0.77 # Propositional encoding time : 0.000 2.33/0.77 # Propositional solver time : 0.000 2.33/0.77 # Success case prop preproc time : 0.000 2.33/0.77 # Success case prop encoding time : 0.000 2.33/0.77 # Success case prop solver time : 0.000 2.33/0.77 # Current number of processed clauses : 208 2.33/0.77 # Positive orientable unit clauses : 35 2.33/0.77 # Positive unorientable unit clauses: 9 2.33/0.77 # Negative unit clauses : 14 2.33/0.77 # Non-unit-clauses : 150 2.33/0.77 # Current number of unprocessed clauses: 1562 2.33/0.77 # ...number of literals in the above : 5917 2.33/0.77 # Current number of archived formulas : 0 2.33/0.77 # Current number of archived clauses : 118 2.33/0.77 # Clause-clause subsumption calls (NU) : 2938 2.33/0.77 # Rec. Clause-clause subsumption calls : 1732 2.33/0.77 # Non-unit clause-clause subsumptions : 93 2.33/0.77 # Unit Clause-clause subsumption calls : 820 2.33/0.77 # Rewrite failures with RHS unbound : 0 2.33/0.77 # BW rewrite match attempts : 2468 2.33/0.77 # BW rewrite match successes : 498 2.33/0.77 # Condensation attempts : 0 2.33/0.77 # Condensation successes : 0 2.33/0.77 # Termbank termtop insertions : 756066 2.33/0.77 2.33/0.77 # ------------------------------------------------- 2.33/0.77 # User time : 0.217 s 2.33/0.77 # System time : 0.010 s 2.33/0.77 # Total time : 0.227 s 2.33/0.77 # Maximum resident set size: 1844 pages 2.33/0.77 2.33/0.77 # ------------------------------------------------- 2.33/0.77 # User time : 1.280 s 2.33/0.77 # System time : 0.062 s 2.33/0.77 # Total time : 1.342 s 2.33/0.77 # Maximum resident set size: 1716 pages 2.33/0.77 EOF