0.02/0.19 % Problem : Vampire---4.8_30816 : TPTP v0.0.0. Released v0.0.0. 0.10/0.20 % Command : run_E %s %d THM 0.11/0.40 % Computer : n005.cluster.edu 0.11/0.40 % Model : x86_64 x86_64 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.40 % Memory : 8042.1875MB 0.11/0.40 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.40 % CPULimit : 1440 0.11/0.40 % WCLimit : 180 0.11/0.40 % DateTime : Mon Jul 3 12:47:30 EDT 2023 0.11/0.41 % CPUTime : 0.15/0.51 Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.1MFf9YEnXV/Vampire---4.8_30816 0.15/0.51 # Version: 3.1pre001-ho 1.06/0.63 # Preprocessing class: HSMSSMSSSSMNHHA. 1.06/0.63 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.06/0.63 # Starting ehoh_best4_fo with 720s (4) cores 1.06/0.63 # Starting ehoh_best_nonlift_rwall with 360s (2) cores 1.06/0.63 # Starting lpo1_lambda_fix with 180s (1) cores 1.06/0.63 # Starting full_lambda_9 with 180s (1) cores 1.06/0.63 # ehoh_best4_fo with pid 30994 completed with status 0 1.06/0.63 # Result found by ehoh_best4_fo 1.06/0.63 # Preprocessing class: HSMSSMSSSSMNHHA. 1.06/0.63 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.06/0.63 # Starting ehoh_best4_fo with 720s (4) cores 1.06/0.63 # No SInE strategy applied 1.06/0.63 # Search class: HGUNF-FFMF22-MHHFFMBN 1.06/0.63 # partial match(1): HGUNF-FFMF22-SHHFFMBN 1.06/0.63 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 1.06/0.63 # Starting ehoh_best_nonlift with 389s (1) cores 1.06/0.63 # Starting ehoh_best4_fo with 73s (1) cores 1.06/0.63 # Starting sh2l with 65s (1) cores 1.06/0.63 # Starting lpo1_def_fix with 65s (1) cores 1.06/0.63 # ehoh_best4_fo with pid 31002 completed with status 0 1.06/0.63 # Result found by ehoh_best4_fo 1.06/0.63 # Preprocessing class: HSMSSMSSSSMNHHA. 1.06/0.63 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.06/0.63 # Starting ehoh_best4_fo with 720s (4) cores 1.06/0.63 # No SInE strategy applied 1.06/0.63 # Search class: HGUNF-FFMF22-MHHFFMBN 1.06/0.63 # partial match(1): HGUNF-FFMF22-SHHFFMBN 1.06/0.63 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 1.06/0.63 # Starting ehoh_best_nonlift with 389s (1) cores 1.06/0.63 # Starting ehoh_best4_fo with 73s (1) cores 1.06/0.63 # Preprocessing time : 0.001 s 1.06/0.63 # Presaturation interreduction done 1.06/0.63 1.06/0.63 # Proof found! 1.06/0.63 # SZS status Theorem 1.06/0.63 # SZS output start CNFRefutation 1.06/0.63 thf(decl_22, type, p: $o). 1.06/0.63 thf(decl_23, type, epred1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.06/0.63 thf(decl_24, type, esk1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 1.06/0.63 thf(decl_25, type, epred2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.06/0.63 thf(decl_26, type, epred3_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.06/0.63 thf(decl_27, type, epred4_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.06/0.63 thf(decl_28, type, esk2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 1.06/0.63 thf(decl_49, type, esk23_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 1.06/0.63 thf(decl_70, type, esk44_0: $i). 1.06/0.63 thf(cTHM120F_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((~(![X3:$i]:(((X2 @ (^[X4:$i]:(((p)|~((p))))) @ (^[X4:$i]:((~((p))&(p)))) @ X3)|(X1 @ (^[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]:(((X1 @ X6 @ X8 @ X3)|(X2 @ X6 @ X8 @ X3)))<=(![X3:$i]:(((X1 @ X6 @ X7 @ X3)|(X2 @ X6 @ X7 @ X3)))&![X3:$i]:(((X2 @ X7 @ X8 @ X3)|(X1 @ X7 @ X8 @ X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.1MFf9YEnXV/Vampire---4.8_30816', cTHM120F_pme)). 1.06/0.63 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((~(![X3:$i]:(((X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X3)|(X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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]:(((X1 @ X6 @ X7 @ X3)|(X2 @ X6 @ X7 @ X3)))&![X3:$i]:(((X2 @ X7 @ X8 @ X3)|(X1 @ X7 @ X8 @ X3))))=>![X3:$i]:(((X1 @ X6 @ X8 @ X3)|(X2 @ X6 @ X8 @ X3)))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM120F_pme])])])). 1.06/0.63 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))|((X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X22)|(X20 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22))))&((X21 @ (epred3_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ X29)|(X20 @ (epred3_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ X29)|(~(X21 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X22)|(X20 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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))|((X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X22)|(X20 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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))|((X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X22)|(X20 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ 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))|((X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X22)|(X20 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22))))&((X21 @ (epred3_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ X29)|(X20 @ (epred3_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ X29)|(~(X20 @ (epred1_2 @ X20 @ X21) @ (epred1_2 @ X20 @ X21) @ (esk1_2 @ X20 @ X21))|((X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X22)|(X20 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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))|((X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X22)|(X20 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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))|((X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X22)|(X20 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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])])])])])). 1.06/0.63 thf(c_0_3, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X4)|(X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X4)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.06/0.63 thf(c_0_4, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_3])). 1.06/0.63 thf(c_0_5, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_4])). 1.06/0.63 thf(c_0_6, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X3)|(X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.06/0.63 thf(c_0_7, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(X1 @ (epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_5])])). 1.06/0.63 thf(c_0_8, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_6])). 1.06/0.63 thf(c_0_9, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X270:$i, X4:$i]:((((epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X270)<=>(epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X270))|(X1 @ (epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4))), inference(arg_cong,[status(thm)],[c_0_7])). 1.06/0.63 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i]:((((epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1)=(^[Z0/* 3 */:$i]:(($true))))|((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1)=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])). 1.06/0.63 thf(c_0_11, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o, X11:$i, X4:$i]:(((X1 @ (epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X11)|~((epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X4)))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_9])])). 1.06/0.63 thf(c_0_12, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1)=(^[Z0/* 3 */:$i]:(($true))))|(epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1 @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4))), inference(arg_cong,[status(thm)],[c_0_10])). 1.06/0.63 thf(c_0_13, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3)|((epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0/* 3 */:$i]:(($true)))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12])])])). 1.06/0.63 thf(c_0_14, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X2 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X4)|(X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X4)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.06/0.63 thf(c_0_15, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|(epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3)|((epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0/* 3 */:$i]:(($true)))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_13])])). 1.06/0.63 thf(c_0_16, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X3)|(X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.06/0.63 thf(c_0_17, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X2 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_14])). 1.06/0.63 thf(c_0_18, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|(epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3)|~((epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ esk44_0)))), inference(neg_ext,[status(thm)],[c_0_15])). 1.06/0.63 thf(c_0_19, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_16])). 1.06/0.63 thf(c_0_20, negated_conjecture, ![X4:$i, X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1)=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1) @ (epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|((epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1)!=(^[Z0/* 3 */:$i]:(($true)))))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_17])). 1.06/0.63 thf(c_0_21, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_12])])). 1.06/0.63 thf(c_0_22, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X3)|(X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.06/0.63 thf(c_0_23, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred4_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (esk2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_19])). 1.06/0.63 thf(c_0_24, negated_conjecture, ![X4:$i, X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1)=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1) @ (epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1 @ (esk23_1 @ X1))))), inference(neg_ext,[status(thm)],[c_0_20])). 1.06/0.63 thf(c_0_25, negated_conjecture, ![X3:$i]:((((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|(epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X3))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_21])])). 1.06/0.63 thf(c_0_26, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_22])). 1.06/0.63 thf(c_0_27, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred4_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (esk2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_23])])). 1.06/0.63 thf(c_0_28, negated_conjecture, (((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25])])). 1.06/0.63 thf(c_0_29, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1)=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1) @ (epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1) @ (esk2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1))))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_26])). 1.06/0.63 thf(c_0_30, negated_conjecture, (((epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28])])])). 1.06/0.63 thf(c_0_31, negated_conjecture, (((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0/* 3 */:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30])])])). 1.06/0.63 thf(c_0_32, negated_conjecture, (((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0/* 3 */:$i]:(($true))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_31])])). 1.06/0.63 thf(c_0_33, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X3)|(X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.06/0.63 thf(c_0_34, negated_conjecture, (((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|((epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0/* 3 */:$i]:(($true))))), inference(spm,[status(thm)],[c_0_32, c_0_28])). 1.06/0.63 thf(c_0_35, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_33])). 1.06/0.63 thf(c_0_36, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)<~>(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3))|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(ext_eqfact,[status(thm)],[c_0_19])). 1.06/0.63 thf(c_0_37, negated_conjecture, (((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0/* 3 */:$i]:(($true))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_34])])). 1.06/0.63 thf(c_0_38, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)<~>(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3))|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X2 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(ext_eqfact,[status(thm)],[c_0_35])). 1.06/0.63 thf(c_0_39, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X2 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:((~((p))&(p)))) @ X4)|(X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X4)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.06/0.63 thf(c_0_40, plain, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_36])])])). 1.06/0.63 thf(c_0_41, negated_conjecture, ((epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true)))), inference(csr,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_37]), c_0_25])). 1.06/0.63 thf(c_0_42, plain, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_38])])])). 1.06/0.63 thf(c_0_43, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X2 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_39])). 1.06/0.63 thf(c_0_44, plain, (((epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41])])])). 1.06/0.63 thf(c_0_45, plain, (((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_41])])])). 1.06/0.63 thf(c_0_46, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X1 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)<~>(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4))|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(ext_eqfact,[status(thm)],[c_0_43])). 1.06/0.63 thf(c_0_47, plain, ((epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true)))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_44])])). 1.06/0.63 thf(c_0_48, plain, ((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_45])])). 1.06/0.63 thf(c_0_49, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X2 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_46])])])). 1.06/0.63 thf(c_0_50, negated_conjecture, ((epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_47])])])). 1.06/0.63 thf(c_0_51, plain, ((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(^[Z0/* 3 */:$i]:(($true)))), inference(rw,[status(thm)],[c_0_48, c_0_47])). 1.06/0.63 thf(c_0_52, plain, ((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($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_49, c_0_41])])]), c_0_50]), c_0_50])]), c_0_51])). 1.06/0.63 thf(c_0_53, plain, ($false), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_52])]), ['proof']). 1.06/0.63 # SZS output end CNFRefutation 1.06/0.63 # Parsed axioms : 2 1.06/0.63 # Removed by relevancy pruning/SinE : 0 1.06/0.63 # Initial clauses : 9 1.06/0.63 # Removed in clause preprocessing : 1 1.06/0.63 # Initial clauses in saturation : 8 1.06/0.63 # Processed clauses : 360 1.06/0.63 # ...of these trivial : 18 1.06/0.63 # ...subsumed : 34 1.06/0.63 # ...remaining for further processing : 308 1.06/0.63 # Other redundant clauses eliminated : 8 1.06/0.63 # Clauses deleted for lack of memory : 0 1.06/0.63 # Backward-subsumed : 70 1.06/0.63 # Backward-rewritten : 143 1.06/0.63 # Generated clauses : 576 1.06/0.63 # ...of the previous two non-redundant : 539 1.06/0.63 # ...aggressively subsumed : 0 1.06/0.63 # Contextual simplify-reflections : 5 1.06/0.63 # Paramodulations : 143 1.06/0.63 # Factorizations : 0 1.06/0.63 # NegExts : 56 1.06/0.63 # Equation resolutions : 8 1.06/0.63 # Total rewrite steps : 255 1.06/0.63 # Propositional unsat checks : 0 1.06/0.63 # Propositional check models : 0 1.06/0.63 # Propositional check unsatisfiable : 0 1.06/0.63 # Propositional clauses : 0 1.06/0.63 # Propositional clauses after purity: 0 1.06/0.63 # Propositional unsat core size : 0 1.06/0.63 # Propositional preprocessing time : 0.000 1.06/0.63 # Propositional encoding time : 0.000 1.06/0.63 # Propositional solver time : 0.000 1.06/0.63 # Success case prop preproc time : 0.000 1.06/0.63 # Success case prop encoding time : 0.000 1.06/0.63 # Success case prop solver time : 0.000 1.06/0.63 # Current number of processed clauses : 41 1.06/0.63 # Positive orientable unit clauses : 15 1.06/0.63 # Positive unorientable unit clauses: 0 1.06/0.63 # Negative unit clauses : 6 1.06/0.63 # Non-unit-clauses : 20 1.06/0.63 # Current number of unprocessed clauses: 59 1.06/0.63 # ...number of literals in the above : 239 1.06/0.63 # Current number of archived formulas : 0 1.06/0.63 # Current number of archived clauses : 267 1.06/0.63 # Clause-clause subsumption calls (NU) : 4566 1.06/0.63 # Rec. Clause-clause subsumption calls : 2248 1.06/0.63 # Non-unit clause-clause subsumptions : 89 1.06/0.63 # Unit Clause-clause subsumption calls : 319 1.06/0.63 # Rewrite failures with RHS unbound : 0 1.06/0.63 # BW rewrite match attempts : 136 1.06/0.63 # BW rewrite match successes : 14 1.06/0.63 # Condensation attempts : 0 1.06/0.63 # Condensation successes : 0 1.06/0.63 # Termbank termtop insertions : 213301 1.06/0.63 1.06/0.63 # ------------------------------------------------- 1.06/0.63 # User time : 0.110 s 1.06/0.63 # System time : 0.007 s 1.06/0.63 # Total time : 0.116 s 1.06/0.63 # Maximum resident set size: 1832 pages 1.06/0.63 1.06/0.63 # ------------------------------------------------- 1.06/0.63 # User time : 0.447 s 1.06/0.63 # System time : 0.015 s 1.06/0.63 # Total time : 0.462 s 1.06/0.63 # Maximum resident set size: 1728 pages 1.06/0.63 % E---3.1 exiting 1.06/0.63 EOF