0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.17/0.43 % Computer : n003.cluster.edu 0.17/0.43 % Model : x86_64 x86_64 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.43 % Memory : 8046.5625MB 0.17/0.43 % OS : Linux 6.8.0-71-generic 0.17/0.43 % CPULimit : 1440 0.17/0.43 % WCLimit : 180 0.17/0.43 % DateTime : Mon Jul 27 10:09:08 UTC 2026 0.17/0.44 % CPUTime : 0.17/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.27/0.51 Running higher-order theorem proving 0.27/0.53 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=180 /export/starexec/sandbox/tmp/tmp.BRHpvXNCFT/E---3.1_3819447.p 1.21/0.77 % Version: 3.5.1-ho 1.21/0.77 % Preprocessing class: HSMSSMSSSSMNHHA. 1.21/0.77 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.21/0.77 % Starting ehoh_best4_fo with 720s (4) cores 1.21/0.77 % Starting ehoh_best_nonlift_rwall with 360s (2) cores 1.21/0.77 % Starting lpo1_lambda_fix with 180s (1) cores 1.21/0.77 % Starting full_lambda_9 with 180s (1) cores 1.21/0.77 % ehoh_best4_fo with pid 3819460 completed with status 0 1.21/0.77 % Result found by ehoh_best4_fo 1.21/0.77 % Preprocessing class: HSMSSMSSSSMNHHA. 1.21/0.77 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.21/0.77 % Starting ehoh_best4_fo with 720s (4) cores 1.21/0.77 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 1.21/0.77 % No SInE strategy applied 1.21/0.77 % Search class: HGUNF-FFMF22-MHHFFMBN 1.21/0.77 % partial match(1): HGUNF-FFMF22-SHHFFMBN 1.21/0.77 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 1.21/0.77 % Starting SubtermCWHack with 65s (1) cores 1.21/0.77 % Starting ehoh_best4_fo with 73s (1) cores 1.21/0.77 % Starting sh2lt with 65s (1) cores 1.21/0.77 % Starting sh2l with 65s (1) cores 1.21/0.77 % SubtermCWHack with pid 3819464 completed with status 10 1.21/0.77 % Starting lpo1_def_fix with 65s (1) cores 1.21/0.77 % ehoh_best4_fo with pid 3819466 completed with status 0 1.21/0.77 % Result found by ehoh_best4_fo 1.21/0.77 % Preprocessing class: HSMSSMSSSSMNHHA. 1.21/0.77 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.21/0.77 % Starting ehoh_best4_fo with 720s (4) cores 1.21/0.77 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 1.21/0.77 % No SInE strategy applied 1.21/0.77 % Search class: HGUNF-FFMF22-MHHFFMBN 1.21/0.77 % partial match(1): HGUNF-FFMF22-SHHFFMBN 1.21/0.77 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 1.21/0.77 % Starting SubtermCWHack with 65s (1) cores 1.21/0.77 % Starting ehoh_best4_fo with 73s (1) cores 1.21/0.77 % Preprocessing time : 0.002 s 1.21/0.77 % Presaturation interreduction done 1.21/0.77 1.21/0.77 % Proof found! 1.21/0.77 % SZS status Theorem 1.21/0.77 % SZS output start CNFRefutation 1.21/0.77 thf(decl_23, type, p: $o). 1.21/0.77 thf(decl_24, type, epred1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.21/0.77 thf(decl_25, type, esk1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 1.21/0.77 thf(decl_26, type, epred2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.21/0.77 thf(decl_27, type, epred3_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.21/0.77 thf(decl_28, type, epred4_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.21/0.77 thf(decl_29, type, esk2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 1.21/0.77 thf(decl_46, type, esk21_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 1.21/0.77 thf(decl_73, type, esk48_0: $i). 1.21/0.77 thf(cTHM120F_pme, conjecture, ?[X1:($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 > $o, X3:$i]:(((X2 @ X5 @ X5 @ X3)|(X1 @ X5 @ X5 @ X3))))&![X6:$i > $o, X7:$i > $o, X8:$i > $o]:(((![X3:$i]:(((X2 @ X6 @ X7 @ X3)|(X1 @ X6 @ X7 @ X3)))&![X3:$i]:(((X1 @ X7 @ X8 @ X3)|(X2 @ X7 @ X8 @ X3))))=>![X3:$i]:(((X1 @ X6 @ X8 @ X3)|(X2 @ X6 @ X8 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.BRHpvXNCFT/E---3.1_3819447.p', cTHM120F_pme)). 1.21/0.77 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((~(![X3:$i]:(((X1 @ (^[X4:$i]:((((p))|(~((p)))))) @ (^[X4:$i]:((((p))&(~((p)))))) @ X3)|(X2 @ (^[X4:$i]:(((~((p)))|((p))))) @ (^[X4:$i]:(((~((p)))&((p))))) @ 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]:(((X2 @ X6 @ X7 @ X3)|(X1 @ X6 @ X7 @ X3)))&![X3:$i]:(((X1 @ X7 @ X8 @ X3)|(X2 @ X7 @ X8 @ X3))))=>![X3:$i]:(((X1 @ X6 @ X8 @ X3)|(X2 @ X6 @ X8 @ X3)))))))), inference(assume_negation,[status(cth)],[cTHM120F_pme])). 1.21/0.77 thf(c_0_2, 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 > $o, X3:$i]:(((X2 @ X5 @ X5 @ X3)|(X1 @ X5 @ X5 @ X3))))&![X6:$i > $o, X7:$i > $o, X8:$i > $o]:(((![X3:$i]:(((X2 @ X6 @ X7 @ X3)|(X1 @ 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)],[c_0_1])). 1.21/0.77 thf(c_0_3, negated_conjecture, ![X20:($i > $o) > ($i > $o) > $i > $o, X21:($i > $o) > ($i > $o) > $i > $o, X22:$i, X28:$i, X29:$i]:((((((X21 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X28)|(X20 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X28)|(~(X21 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X22)|(X21 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ 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:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X22)|(X21 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ 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:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X22)|(X21 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ 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:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X22)|(X21 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ X22))))))&((((X21 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X28)|(X20 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X28)|(~(X20 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X20 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X22)|(X21 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ 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:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X22)|(X21 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ 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:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X22)|(X21 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ 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:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X22)|(X21 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ X22)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])). 1.21/0.77 thf(c_0_4, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X4)|(X1 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ X4)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_3])). 1.21/0.77 thf(c_0_5, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_4])). 1.21/0.77 thf(c_0_6, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)=(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|(X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_5])). 1.21/0.77 thf(c_0_7, 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:$i]:(((~((p)))&((p))))) @ X3)|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_3])). 1.21/0.77 thf(c_0_8, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)=(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))|(X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_6])])). 1.21/0.77 thf(c_0_9, 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]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_7])). 1.21/0.77 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X245:$i, X4:$i]:((((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1 @ X245)<=>(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1 @ X245))|(X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))), inference(arg_cong,[status(thm)],[c_0_8])). 1.21/0.77 thf(c_0_11, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i]:((((epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_9])). 1.21/0.77 thf(c_0_12, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o, X11:$i, X4:$i]:(((X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X3)|(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1 @ X4)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X11)|~((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1 @ X4)))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_10])])). 1.21/0.77 thf(c_0_13, 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)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|(epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))), inference(arg_cong,[status(thm)],[c_0_11])). 1.21/0.77 thf(c_0_14, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X3)|((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(^[Z0:$i]:(($true)))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13])])])). 1.21/0.77 thf(c_0_15, 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]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X4)|(X2 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ X4)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_3])). 1.21/0.77 thf(c_0_16, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X3)|((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(^[Z0:$i]:(($true)))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_14])])). 1.21/0.77 thf(c_0_17, 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:$i]:(((~((p)))&((p))))) @ X3)|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_3])). 1.21/0.77 thf(c_0_18, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X2 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_15])). 1.21/0.77 thf(c_0_19, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X3)|~((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ esk48_0)))), inference(neg_ext,[status(thm)],[c_0_16])). 1.21/0.77 thf(c_0_20, 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]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_17])). 1.21/0.77 thf(c_0_21, negated_conjecture, ![X4:$i, X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|(X1 @ (epred3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true))))))) @ (epred4_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true))))))) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|((epred3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(^[Z0:$i]:(($true)))))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_18])). 1.21/0.77 thf(c_0_22, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X3))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_13])])). 1.21/0.77 thf(c_0_23, 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:$i]:(((~((p)))&((p))))) @ X3)|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_3])). 1.21/0.77 thf(c_0_24, negated_conjecture, ![X3:$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_20])). 1.21/0.77 thf(c_0_25, negated_conjecture, ![X4:$i, X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|(X1 @ (epred3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true))))))) @ (epred4_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true))))))) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((epred3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ (esk21_1 @ X1))))), inference(neg_ext,[status(thm)],[c_0_21])). 1.21/0.77 thf(c_0_26, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))) @ X3))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_22])])). 1.21/0.77 thf(c_0_27, 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]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_23])). 1.21/0.77 thf(c_0_28, negated_conjecture, ![X3:$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_24])])). 1.21/0.77 thf(c_0_29, negated_conjecture, (((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true))))))))|((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26])])). 1.21/0.77 thf(c_0_30, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X3)|~((X1 @ (epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true))))))) @ (epred4_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true))))))) @ (esk2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true))))))))))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_27])). 1.21/0.77 thf(c_0_31, negated_conjecture, (((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29])])])). 1.21/0.77 thf(c_0_32, negated_conjecture, (((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31])])])). 1.21/0.77 thf(c_0_33, negated_conjecture, (((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_32])])). 1.21/0.77 thf(c_0_34, 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:$i]:(((~((p)))&((p))))) @ X3)|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_3])). 1.21/0.77 thf(c_0_35, negated_conjecture, (((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(^[Z0:$i]:(($true))))), inference(spm,[status(thm)],[c_0_33, c_0_29])). 1.21/0.77 thf(c_0_36, 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]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_34])). 1.21/0.77 thf(c_0_37, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($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]:(~($true))) @ X3))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X2 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(ext_eqfact,[status(thm)],[c_0_20])). 1.21/0.77 thf(c_0_38, negated_conjecture, (((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_35])])). 1.21/0.77 thf(c_0_39, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($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]:(~($true))) @ X3))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(ext_eqfact,[status(thm)],[c_0_36])). 1.21/0.77 thf(c_0_40, negated_conjecture, ![X1:($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]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X4)|(X2 @ (^[Z0:$i]:(((~((p)))|((p))))) @ (^[Z0:$i]:(((~((p)))&((p))))) @ X4)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_3])). 1.21/0.77 thf(c_0_41, plain, ![X3:$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]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_37])])])). 1.21/0.77 thf(c_0_42, negated_conjecture, ((epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true)))), inference(csr,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_38]), c_0_26])). 1.21/0.77 thf(c_0_43, plain, ![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]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_39])])])). 1.21/0.77 thf(c_0_44, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X2 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_40])). 1.21/0.77 thf(c_0_45, plain, (((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true))))|((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42])])])). 1.21/0.77 thf(c_0_46, plain, (((^[Z0:$i]:(~($true)))=(^[Z0:$i]:(($true))))|((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true))))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_42])])])). 1.21/0.77 thf(c_0_47, plain, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X1 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|((X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)<~>(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(ext_eqfact,[status(thm)],[c_0_44])). 1.21/0.77 thf(c_0_48, plain, ((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true)))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_45])])). 1.21/0.77 thf(c_0_49, plain, ((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_46])])). 1.21/0.77 thf(c_0_50, plain, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X2 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X1 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|(X2 @ (^[Z0:$i]:(($true))) @ (^[Z0:$i]:(~($true))) @ X4)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_47])])])). 1.21/0.77 thf(c_0_51, negated_conjecture, ((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))=(^[Z0:$i]:(($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_48])])])). 1.21/0.77 thf(c_0_52, plain, ((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3:$i]:(($true)))))))!=(^[Z0:$i]:(($true)))), inference(rw,[status(thm)],[c_0_49, c_0_48])). 1.21/0.77 thf(c_0_53, 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_50, c_0_42])])]), c_0_51]), c_0_51])]), c_0_52])). 1.21/0.77 thf(c_0_54, plain, ($false), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_53])]), ['proof']). 1.21/0.77 % SZS output end CNFRefutation 1.21/0.77 % Parsed axioms : 2 1.21/0.77 % Removed by relevancy pruning/SinE : 0 1.21/0.77 % Initial clauses : 9 1.21/0.77 % Removed in clause preprocessing : 1 1.21/0.77 % Initial clauses in saturation : 8 1.21/0.77 % Processed clauses : 368 1.21/0.77 % ...of these trivial : 16 1.21/0.77 % ...subsumed : 32 1.21/0.77 % ...remaining for further processing : 320 1.21/0.77 % Other redundant clauses eliminated : 8 1.21/0.77 % Clauses deleted for lack of memory : 0 1.21/0.77 % Backward-subsumed : 74 1.21/0.77 % Backward-rewritten : 148 1.21/0.77 % Generated clauses : 592 1.21/0.77 % ...of the previous two non-redundant : 558 1.21/0.77 % ...aggressively subsumed : 0 1.21/0.77 % Contextual simplify-reflections : 5 1.21/0.77 % Paramodulations : 155 1.21/0.77 % Factorizations : 0 1.21/0.77 % NegExts : 58 1.21/0.77 % Equation resolutions : 8 1.21/0.77 % Disequality decompositions : 0 1.21/0.77 % Total rewrite steps : 261 1.21/0.77 % ...of those cached : 234 1.21/0.77 % Propositional unsat checks : 0 1.21/0.77 % Propositional check models : 0 1.21/0.77 % Propositional check unsatisfiable : 0 1.21/0.77 % Propositional clauses : 0 1.21/0.77 % Propositional clauses after purity: 0 1.21/0.77 % Propositional unsat core size : 0 1.21/0.77 % Propositional preprocessing time : 0.000 1.21/0.77 % Propositional encoding time : 0.000 1.21/0.77 % Propositional solver time : 0.000 1.21/0.77 % Success case prop preproc time : 0.000 1.21/0.77 % Success case prop encoding time : 0.000 1.21/0.77 % Success case prop solver time : 0.000 1.21/0.77 % Current number of processed clauses : 44 1.21/0.77 % Positive orientable unit clauses : 15 1.21/0.77 % Positive unorientable unit clauses: 0 1.21/0.77 % Negative unit clauses : 6 1.21/0.77 % Non-unit-clauses : 23 1.21/0.77 % Current number of unprocessed clauses: 66 1.21/0.77 % ...number of literals in the above : 263 1.21/0.77 % Current number of archived formulas : 0 1.21/0.77 % Current number of archived clauses : 276 1.21/0.77 % Clause-clause subsumption calls (NU) : 5184 1.21/0.77 % Rec. Clause-clause subsumption calls : 2337 1.21/0.77 % Non-unit clause-clause subsumptions : 90 1.21/0.77 % Unit Clause-clause subsumption calls : 540 1.21/0.77 % Rewrite failures with RHS unbound : 0 1.21/0.77 % BW rewrite match attempts : 143 1.21/0.77 % BW rewrite match successes : 14 1.21/0.77 % Condensation attempts : 0 1.21/0.77 % Condensation successes : 0 1.21/0.77 % Termbank termtop insertions : 224895 1.21/0.77 % Search garbage collected termcells : 258 1.21/0.77 1.21/0.77 % ------------------------------------------------- 1.21/0.77 % User time : 0.212 s 1.21/0.77 % System time : 0.010 s 1.21/0.77 % Total time : 0.221 s 1.21/0.77 % Maximum resident set size: 3636 pages 1.21/0.77 1.21/0.77 % ------------------------------------------------- 1.21/0.77 % User time : 0.776 s 1.21/0.77 % System time : 0.035 s 1.21/0.77 % Total time : 0.811 s 1.21/0.77 % Maximum resident set size: 4864 pages 1.21/0.77 % E exiting 1.21/0.78 EOF