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 : n012.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 03:11:59 EDT 2022 0.13/0.34 % CPUTime : 0.20/0.45 Running higher-order on 8 cores theorem proving 0.20/0.46 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=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.20/0.46 # Version: 3.0pre003-ho 0.86/0.58 # Preprocessing class: HSMSSMSSSSMNHHA. 0.86/0.58 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.86/0.58 # Starting ehoh_best4_fo with 480s (4) cores 0.86/0.58 # Starting ehoh_best_nonlift_rwall with 240s (2) cores 0.86/0.58 # Starting lpo1_lambda_fix with 120s (1) cores 0.86/0.58 # Starting full_lambda_9 with 120s (1) cores 0.86/0.58 # ehoh_best4_fo with pid 10080 completed with status 0 0.86/0.58 # Result found by ehoh_best4_fo 0.86/0.58 # Preprocessing class: HSMSSMSSSSMNHHA. 0.86/0.58 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.86/0.58 # Starting ehoh_best4_fo with 480s (4) cores 0.86/0.58 # No SInE strategy applied 0.86/0.58 # Search class: HGUNF-FFMF22-MHHFFMBN 0.86/0.58 # partial match(1): HGUNF-FFMF22-SHHFFMBN 0.86/0.58 # Scheduled 6 strats onto 4 cores with 480 seconds (480 total) 0.86/0.58 # Starting ehoh_best_nonlift with 260s (1) cores 0.86/0.58 # Starting ehoh_best4_fo with 49s (1) cores 0.86/0.58 # Starting sh2l with 44s (1) cores 0.86/0.58 # Starting lpo1_def_fix with 44s (1) cores 0.86/0.58 # ehoh_best4_fo with pid 10087 completed with status 0 0.86/0.58 # Result found by ehoh_best4_fo 0.86/0.58 # Preprocessing class: HSMSSMSSSSMNHHA. 0.86/0.58 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.86/0.58 # Starting ehoh_best4_fo with 480s (4) cores 0.86/0.58 # No SInE strategy applied 0.86/0.58 # Search class: HGUNF-FFMF22-MHHFFMBN 0.86/0.58 # partial match(1): HGUNF-FFMF22-SHHFFMBN 0.86/0.58 # Scheduled 6 strats onto 4 cores with 480 seconds (480 total) 0.86/0.58 # Starting ehoh_best_nonlift with 260s (1) cores 0.86/0.58 # Starting ehoh_best4_fo with 49s (1) cores 0.86/0.58 # Preprocessing time : 0.001 s 0.86/0.58 # Presaturation interreduction done 0.86/0.58 0.86/0.58 # Proof found! 0.86/0.58 # SZS status Theorem 0.86/0.58 # SZS output start CNFRefutation 0.86/0.58 thf(decl_22, type, p: $o). 0.86/0.58 thf(decl_23, type, epred1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 0.86/0.58 thf(decl_24, type, epred2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 0.86/0.58 thf(decl_25, type, epred3_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 0.86/0.58 thf(decl_26, type, esk1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_27, type, epred4_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 0.86/0.58 thf(decl_28, type, esk2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_29, type, esk3_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_30, type, esk4_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_31, type, esk5_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_32, type, esk6_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_33, type, esk7_0: $i). 0.86/0.58 thf(decl_34, type, esk8_0: $i). 0.86/0.58 thf(decl_35, type, esk9_0: $i). 0.86/0.58 thf(decl_36, type, esk10_0: $i). 0.86/0.58 thf(decl_37, type, esk11_0: $i). 0.86/0.58 thf(decl_38, type, esk12_0: $i). 0.86/0.58 thf(decl_39, type, esk13_0: $i). 0.86/0.58 thf(decl_40, type, esk14_0: $i). 0.86/0.58 thf(decl_41, type, esk15_0: $i). 0.86/0.58 thf(decl_42, type, esk16_0: $i). 0.86/0.58 thf(decl_43, type, esk17_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_44, type, esk18_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_45, type, esk19_0: $i). 0.86/0.58 thf(decl_46, type, esk20_0: $i). 0.86/0.58 thf(decl_47, type, esk21_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_48, type, esk22_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_49, type, esk23_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_50, type, esk24_0: $i). 0.86/0.58 thf(decl_51, type, esk25_0: $i). 0.86/0.58 thf(decl_52, type, esk26_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_53, type, esk27_0: $i). 0.86/0.58 thf(decl_54, type, esk28_0: $i). 0.86/0.58 thf(decl_55, type, esk29_0: $i). 0.86/0.58 thf(decl_56, type, esk30_0: $i). 0.86/0.58 thf(decl_57, type, esk31_0: $i). 0.86/0.58 thf(decl_58, type, esk32_0: $i). 0.86/0.58 thf(decl_59, type, esk33_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_60, type, esk34_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_61, type, esk35_0: $i). 0.86/0.58 thf(decl_62, type, esk36_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_63, type, esk37_0: $i). 0.86/0.58 thf(decl_64, type, esk38_0: $i). 0.86/0.58 thf(decl_65, type, esk39_0: $i). 0.86/0.58 thf(decl_66, type, esk40_0: $i). 0.86/0.58 thf(decl_67, type, esk41_0: $i). 0.86/0.58 thf(decl_68, type, esk42_0: $i). 0.86/0.58 thf(decl_69, type, esk43_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_70, type, esk44_0: $i). 0.86/0.58 thf(decl_71, type, esk45_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_72, type, esk46_0: $i). 0.86/0.58 thf(decl_73, type, esk47_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.86/0.58 thf(decl_74, type, esk48_0: $i). 0.86/0.58 thf(decl_75, type, esk49_0: $i). 0.86/0.58 thf(decl_76, type, esk50_0: $i). 0.86/0.58 thf(decl_77, type, esk51_0: $i). 0.86/0.58 thf(decl_78, type, esk52_0: $i). 0.86/0.58 thf(decl_79, type, esk53_0: $i). 0.86/0.58 thf(decl_80, type, esk54_0: $i). 0.86/0.58 thf(decl_81, type, esk55_0: $i). 0.86/0.58 thf(decl_82, type, esk56_0: $i). 0.86/0.58 thf(decl_83, type, esk57_0: $i). 0.86/0.58 thf(decl_84, type, esk58_0: $i). 0.86/0.58 thf(decl_85, type, esk59_0: $i). 0.86/0.58 thf(decl_86, type, esk60_0: $i). 0.86/0.58 thf(decl_87, type, esk61_0: $i). 0.86/0.58 thf(decl_88, type, esk62_0: $i). 0.86/0.58 thf(decl_89, type, esk63_0: $i). 0.86/0.58 thf(cTHM120E_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((~(![X3:$i]:(((X1 @ (^[X4:$i]:((~((p))|(p)))) @ (^[X4:$i]:(((p)&~((p))))) @ X3)|(X2 @ (^[X4:$i]:(((p)|~((p))))) @ (^[X4:$i]:(((p)&~((p))))) @ X3))))&![X5:$i > $o, X6:$i > $o, X7:$i > $o]:((![X3:$i]:(((X2 @ X5 @ X7 @ X3)|(X1 @ X5 @ X7 @ X3)))<=(![X3:$i]:(((X1 @ X5 @ X6 @ X3)|(X2 @ X5 @ X6 @ X3)))&![X3:$i]:(((X2 @ X6 @ X7 @ X3)|(X1 @ X6 @ X7 @ X3)))))))&![X8:$i > $o, X3:$i]:(((X1 @ X8 @ X8 @ X3)|(X2 @ X8 @ X8 @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cTHM120E_pme)). 0.86/0.58 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((~(![X3:$i]:(((X1 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3)|(X2 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3))))&![X5:$i > $o, X6:$i > $o, X7:$i > $o]:(((![X3:$i]:(((X1 @ X5 @ X6 @ X3)|(X2 @ X5 @ X6 @ X3)))&![X3:$i]:(((X2 @ X6 @ X7 @ X3)|(X1 @ X6 @ X7 @ X3))))=>![X3:$i]:(((X2 @ X5 @ X7 @ X3)|(X1 @ X5 @ X7 @ X3))))))&![X8:$i > $o, X3:$i]:(((X1 @ X8 @ X8 @ X3)|(X2 @ X8 @ X8 @ X3)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM120E_pme])])])). 0.86/0.58 thf(c_0_2, negated_conjecture, ![X20:($i > $o) > ($i > $o) > $i > $o, X21:($i > $o) > ($i > $o) > $i > $o, X22:$i, X26:$i, X27:$i]:(((((~(X20 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|((X20 @ (epred1_2 @ X20 @ X21) @ (epred2_2 @ X20 @ X21) @ X26)|(X21 @ (epred1_2 @ X20 @ X21) @ (epred2_2 @ X20 @ X21) @ X26)|((X20 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22))))&(~(X21 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|((X20 @ (epred1_2 @ X20 @ X21) @ (epred2_2 @ X20 @ X21) @ X26)|(X21 @ (epred1_2 @ X20 @ X21) @ (epred2_2 @ X20 @ X21) @ X26)|((X20 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)))))&((~(X20 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|((X21 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X27)|(X20 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X27)|((X20 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22))))&(~(X21 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|((X21 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X27)|(X20 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X27)|((X20 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22))))))&(((~(X20 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|(~(X21 @ (epred1_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22))))&(~(X21 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|(~(X21 @ (epred1_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)))))&((~(X20 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|(~(X20 @ (epred1_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22))))&(~(X21 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|(~(X20 @ (epred1_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ 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])])])])])). 0.86/0.58 thf(c_0_3, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X3)|(X1 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X3)|(X2 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X4)|(X1 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.86/0.58 thf(c_0_4, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X3)|(X2 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X3)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_3])). 0.86/0.58 thf(c_0_5, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|(X1 @ (epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_4])). 0.86/0.58 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]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3)|(X2 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.86/0.58 thf(c_0_7, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(X1 @ (epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_5])])). 0.86/0.58 thf(c_0_8, 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]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_6])). 0.86/0.58 thf(c_0_9, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X268:$i, X4:$i]:((((epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X268)<=>(epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X268))|(X1 @ (epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))), inference(arg_cong,[status(thm)],[c_0_7])). 0.86/0.58 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1)=(^[Z0:$i]:(($true))))|((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1)=(^[Z0:$i]:(($true))))|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])). 0.86/0.58 thf(c_0_11, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o, X11:$i, X4:$i]:(((X1 @ (epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X4)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X11)|~((epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X4)))), inference(cn,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_9])])). 0.86/0.58 thf(c_0_12, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1)=(^[Z0:$i]:(($true))))|(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1 @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))), inference(arg_cong,[status(thm)],[c_0_10])). 0.86/0.58 thf(c_0_13, negated_conjecture, ![X3:$i]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3)|((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0:$i]:(($true)))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12])])])). 0.86/0.58 thf(c_0_14, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X1 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X4)|(X2 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X4)|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.86/0.58 thf(c_0_15, negated_conjecture, ![X3:$i]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3)|((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0:$i]:(($true)))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_13])])). 0.86/0.58 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]:(~($true))) @ X4)|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_14])). 0.86/0.58 thf(c_0_17, negated_conjecture, ![X3:$i]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3)|~((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ esk52_0)))), inference(neg_ext,[status(thm)],[c_0_15])). 0.86/0.58 thf(c_0_18, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3)|(X2 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.86/0.58 thf(c_0_19, negated_conjecture, ![X4:$i, X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1)=(^[Z0:$i]:(($true))))|(X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1) @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1)!=(^[Z0:$i]:(($true)))))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_16])). 0.86/0.58 thf(c_0_20, negated_conjecture, ![X3:$i]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_12])])). 0.86/0.58 thf(c_0_21, 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]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_18])). 0.86/0.58 thf(c_0_22, plain, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)<~>(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(ext_eqfact,[status(thm)],[c_0_8])). 0.86/0.58 thf(c_0_23, negated_conjecture, ![X4:$i, X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1)=(^[Z0:$i]:(($true))))|(X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1) @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1 @ (esk26_1 @ X1))))), inference(neg_ext,[status(thm)],[c_0_19])). 0.86/0.58 thf(c_0_24, negated_conjecture, ![X3:$i]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_20])])). 0.86/0.58 thf(c_0_25, plain, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)<~>(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(ext_eqfact,[status(thm)],[c_0_21])). 0.86/0.58 thf(c_0_26, plain, ![X1:($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]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_22])])])). 0.86/0.58 thf(c_0_27, negated_conjecture, (((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24])])). 0.86/0.58 thf(c_0_28, plain, ![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]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_25])])])). 0.86/0.58 thf(c_0_29, plain, (((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27])])])). 0.86/0.58 thf(c_0_30, plain, (((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29])])])). 0.86/0.58 thf(c_0_31, plain, (((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_30])])). 0.86/0.58 thf(c_0_32, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3)|(X1 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.86/0.58 thf(c_0_33, negated_conjecture, (((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0:$i]:(($true))))), inference(spm,[status(thm)],[c_0_31, c_0_27])). 0.86/0.58 thf(c_0_34, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3)|(X1 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.86/0.58 thf(c_0_35, negated_conjecture, ![X1:($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]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_32])). 0.86/0.58 thf(c_0_36, negated_conjecture, (((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_33])])). 0.86/0.58 thf(c_0_37, 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]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_34])). 0.86/0.58 thf(c_0_38, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (^[Z0:$i]:((~((p))|(p)))) @ (^[Z0:$i]:(((p)&~((p))))) @ X4)|(X1 @ (^[Z0:$i]:(((p)|~((p))))) @ (^[Z0:$i]:(((p)&~((p))))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.86/0.58 thf(c_0_39, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1)=(^[Z0:$i]:(($true))))|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|~((X1 @ (epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1) @ (epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1) @ (esk2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X1))))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_35])). 0.86/0.58 thf(c_0_40, negated_conjecture, ((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true)))), inference(csr,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_36]), c_0_24])). 0.86/0.58 thf(c_0_41, plain, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|((X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)<~>(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(ext_eqfact,[status(thm)],[c_0_37])). 0.86/0.58 thf(c_0_42, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_38])). 0.86/0.58 thf(c_0_43, negated_conjecture, (((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40])])])). 0.86/0.58 thf(c_0_44, plain, ![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]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_41])])])). 0.86/0.58 thf(c_0_45, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)<~>(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3))|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(ext_eqfact,[status(thm)],[c_0_42])). 0.86/0.58 thf(c_0_46, negated_conjecture, ((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true)))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_43])])). 0.86/0.58 thf(c_0_47, plain, (((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_43])])])). 0.86/0.58 thf(c_0_48, plain, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_45])])])). 0.86/0.58 thf(c_0_49, negated_conjecture, ((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0:$i]:(($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_46])])])). 0.86/0.58 thf(c_0_50, plain, ((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0:$i]:(($true)))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_47])])). 0.86/0.58 thf(c_0_51, plain, ((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_40])])]), c_0_49]), c_0_49])]), c_0_50])). 0.86/0.58 thf(c_0_52, plain, ($false), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_51])]), ['proof']). 0.86/0.58 # SZS output end CNFRefutation 0.86/0.58 # Parsed axioms : 2 0.86/0.58 # Removed by relevancy pruning/SinE : 0 0.86/0.58 # Initial clauses : 9 0.86/0.58 # Removed in clause preprocessing : 1 0.86/0.58 # Initial clauses in saturation : 8 0.86/0.58 # Processed clauses : 371 0.86/0.58 # ...of these trivial : 21 0.86/0.58 # ...subsumed : 33 0.86/0.58 # ...remaining for further processing : 317 0.86/0.58 # Other redundant clauses eliminated : 8 0.86/0.58 # Clauses deleted for lack of memory : 0 0.86/0.58 # Backward-subsumed : 74 0.86/0.58 # Backward-rewritten : 149 0.86/0.58 # Generated clauses : 670 0.86/0.58 # ...of the previous two non-redundant : 580 0.86/0.58 # ...aggressively subsumed : 0 0.86/0.58 # Contextual simplify-reflections : 10 0.86/0.58 # Paramodulations : 229 0.86/0.58 # Factorizations : 0 0.86/0.58 # NegExts : 61 0.86/0.58 # Equation resolutions : 8 0.86/0.58 # Propositional unsat checks : 0 0.86/0.58 # Propositional check models : 0 0.86/0.58 # Propositional check unsatisfiable : 0 0.86/0.58 # Propositional clauses : 0 0.86/0.58 # Propositional clauses after purity: 0 0.86/0.58 # Propositional unsat core size : 0 0.86/0.58 # Propositional preprocessing time : 0.000 0.86/0.58 # Propositional encoding time : 0.000 0.86/0.58 # Propositional solver time : 0.000 0.86/0.58 # Success case prop preproc time : 0.000 0.86/0.58 # Success case prop encoding time : 0.000 0.86/0.58 # Success case prop solver time : 0.000 0.86/0.58 # Current number of processed clauses : 42 0.86/0.58 # Positive orientable unit clauses : 15 0.86/0.58 # Positive unorientable unit clauses: 0 0.86/0.58 # Negative unit clauses : 5 0.86/0.58 # Non-unit-clauses : 22 0.86/0.58 # Current number of unprocessed clauses: 77 0.86/0.58 # ...number of literals in the above : 312 0.86/0.58 # Current number of archived formulas : 0 0.86/0.58 # Current number of archived clauses : 275 0.86/0.58 # Clause-clause subsumption calls (NU) : 5685 0.86/0.58 # Rec. Clause-clause subsumption calls : 2891 0.86/0.58 # Non-unit clause-clause subsumptions : 93 0.86/0.58 # Unit Clause-clause subsumption calls : 256 0.86/0.58 # Rewrite failures with RHS unbound : 0 0.86/0.58 # BW rewrite match attempts : 133 0.86/0.58 # BW rewrite match successes : 13 0.86/0.58 # Condensation attempts : 0 0.86/0.58 # Condensation successes : 0 0.86/0.58 # Termbank termtop insertions : 229154 0.86/0.58 0.86/0.58 # ------------------------------------------------- 0.86/0.58 # User time : 0.118 s 0.86/0.58 # System time : 0.006 s 0.86/0.58 # Total time : 0.124 s 0.86/0.58 # Maximum resident set size: 1824 pages 0.86/0.58 0.86/0.58 # ------------------------------------------------- 0.86/0.58 # User time : 0.452 s 0.86/0.58 # System time : 0.018 s 0.86/0.58 # Total time : 0.470 s 0.86/0.58 # Maximum resident set size: 1728 pages 0.86/0.58 EOF