0.04/0.09 % Problem : Vampire---4.8_26328 : TPTP v0.0.0. Released v0.0.0. 0.04/0.10 % Command : run_E %s %d THM 0.09/0.30 % Computer : n029.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1440 0.09/0.30 % WCLimit : 180 0.09/0.30 % DateTime : Mon Jul 3 13:06:12 EDT 2023 0.09/0.30 % CPUTime : 0.14/0.39 Running higher-order theorem provingRunning: /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.81LhgHf0EA/Vampire---4.8_26328 0.14/0.39 # Version: 3.1pre001-ho 0.14/0.52 # Preprocessing class: HSMSSMSSSSMNHHA. 0.14/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.52 # Starting ehoh_best4_fo with 720s (4) cores 0.14/0.52 # Starting ehoh_best_nonlift_rwall with 360s (2) cores 0.14/0.52 # Starting lpo1_lambda_fix with 180s (1) cores 0.14/0.52 # Starting full_lambda_9 with 180s (1) cores 0.14/0.52 # ehoh_best4_fo with pid 26506 completed with status 0 0.14/0.52 # Result found by ehoh_best4_fo 0.14/0.52 # Preprocessing class: HSMSSMSSSSMNHHA. 0.14/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.52 # Starting ehoh_best4_fo with 720s (4) cores 0.14/0.52 # No SInE strategy applied 0.14/0.52 # Search class: HGUNF-FFMF22-MHHFFMBN 0.14/0.52 # partial match(1): HGUNF-FFMF22-SHHFFMBN 0.14/0.52 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 0.14/0.52 # Starting ehoh_best_nonlift with 389s (1) cores 0.14/0.52 # Starting ehoh_best4_fo with 73s (1) cores 0.14/0.52 # Starting sh2l with 65s (1) cores 0.14/0.52 # Starting lpo1_def_fix with 65s (1) cores 0.14/0.52 # ehoh_best4_fo with pid 26513 completed with status 0 0.14/0.52 # Result found by ehoh_best4_fo 0.14/0.52 # Preprocessing class: HSMSSMSSSSMNHHA. 0.14/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.52 # Starting ehoh_best4_fo with 720s (4) cores 0.14/0.52 # No SInE strategy applied 0.14/0.52 # Search class: HGUNF-FFMF22-MHHFFMBN 0.14/0.52 # partial match(1): HGUNF-FFMF22-SHHFFMBN 0.14/0.52 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 0.14/0.52 # Starting ehoh_best_nonlift with 389s (1) cores 0.14/0.52 # Starting ehoh_best4_fo with 73s (1) cores 0.14/0.52 # Preprocessing time : 0.001 s 0.14/0.52 # Presaturation interreduction done 0.14/0.52 0.14/0.52 # Proof found! 0.14/0.52 # SZS status Theorem 0.14/0.52 # SZS output start CNFRefutation 0.14/0.52 thf(decl_22, type, p: $o). 0.14/0.52 thf(decl_23, type, epred1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 0.14/0.52 thf(decl_24, type, epred2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 0.14/0.52 thf(decl_25, type, epred3_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 0.14/0.52 thf(decl_26, type, esk1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 0.14/0.52 thf(decl_27, type, epred4_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 0.14/0.52 thf(decl_28, type, esk2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 0.14/0.52 thf(decl_52, type, esk26_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 0.14/0.52 thf(decl_78, type, esk52_0: $i). 0.14/0.52 thf(cTHM120E_pme, conjecture, ?[X1:($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 @ X6 @ X7 @ X3)|(X1 @ X6 @ X7 @ X3)))&![X3:$i]:(((X2 @ X5 @ X6 @ X3)|(X1 @ X5 @ X6 @ X3))))=>![X3:$i]:(((X2 @ X5 @ X7 @ X3)|(X1 @ X5 @ X7 @ X3))))))&![X8:$i > $o, X3:$i]:(((X1 @ X8 @ X8 @ X3)|(X2 @ X8 @ X8 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.81LhgHf0EA/Vampire---4.8_26328', cTHM120E_pme)). 0.14/0.52 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((~(![X3:$i]:(((X1 @ (^[Z0/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X3)|(X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X3))))&![X5:$i > $o, X6:$i > $o, X7:$i > $o]:(((![X3:$i]:(((X2 @ X6 @ X7 @ X3)|(X1 @ X6 @ X7 @ X3)))&![X3:$i]:(((X2 @ X5 @ X6 @ X3)|(X1 @ X5 @ X6 @ X3))))=>![X3:$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(assume_negation,[status(cth)],[cTHM120E_pme])])). 0.14/0.52 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))|((X21 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X26)|(X20 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X26)|((X20 @ (^[Z0/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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) @ X26)|(X20 @ (epred2_2 @ X20 @ X21) @ (epred3_2 @ X20 @ X21) @ X26)|((X20 @ (^[Z0/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22)))))&((~(X20 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|((X21 @ (epred1_2 @ X20 @ X21) @ (epred2_2 @ X20 @ X21) @ X27)|(X20 @ (epred1_2 @ X20 @ X21) @ (epred2_2 @ X20 @ X21) @ X27)|((X20 @ (^[Z0/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22))))&(~(X21 @ (epred4_2 @ X20 @ X21) @ (epred4_2 @ X20 @ X21) @ (esk2_2 @ X20 @ X21))|((X21 @ (epred1_2 @ X20 @ X21) @ (epred2_2 @ X20 @ X21) @ X27)|(X20 @ (epred1_2 @ X20 @ X21) @ (epred2_2 @ X20 @ X21) @ X27)|((X20 @ (^[Z0/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$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/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X22)|(X21 @ (^[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])])])])])). 0.14/0.52 thf(c_0_3, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X3)|(X2 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X3)|(X2 @ (^[Z0/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X4)|(X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.14/0.52 thf(c_0_4, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X3)|(X2 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_3])). 0.14/0.52 thf(c_0_5, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred1_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (epred1_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred2_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])). 0.14/0.52 thf(c_0_6, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($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 */:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.14/0.52 thf(c_0_7, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred1_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(X1 @ (epred1_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred2_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])])). 0.14/0.52 thf(c_0_8, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_6])). 0.14/0.52 thf(c_0_9, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X268:$i, X4:$i]:((((epred1_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X268)<=>(epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X268))|(X1 @ (epred1_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred2_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])). 0.14/0.52 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i]:((((epred4_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])). 0.14/0.52 thf(c_0_11, negated_conjecture, ![X3:$i, X1:($i > $o) > ($i > $o) > $i > $o, X11:$i, X4:$i]:(((X1 @ (epred1_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X3)|(epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X11)|~((epred1_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])])). 0.14/0.52 thf(c_0_12, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X4:$i]:((((epred4_2 @ (^[Z0/* 19 */:$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 @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4))), inference(arg_cong,[status(thm)],[c_0_10])). 0.14/0.52 thf(c_0_13, negated_conjecture, ![X3:$i]:((((epred4_2 @ (^[Z0/* 19 */:$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))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(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))) @ X3)|((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(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12])])])). 0.14/0.52 thf(c_0_14, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X1 @ (^[Z0/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X4)|(X2 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X4)|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.14/0.52 thf(c_0_15, negated_conjecture, ![X3:$i]:((((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))))|(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))) @ X3)|((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(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_13])])). 0.14/0.52 thf(c_0_16, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_14])). 0.14/0.52 thf(c_0_17, negated_conjecture, ![X3:$i]:((((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))))|(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))) @ X3)|~((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))) @ esk52_0)))), inference(neg_ext,[status(thm)],[c_0_15])). 0.14/0.52 thf(c_0_18, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($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 */:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.14/0.52 thf(c_0_19, negated_conjecture, ![X4:$i, X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1)=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1) @ (epred3_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)|((epred2_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_16])). 0.14/0.52 thf(c_0_20, negated_conjecture, ![X3:$i]:((((epred4_2 @ (^[Z0/* 19 */:$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))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(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))) @ X3))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_12])])). 0.14/0.52 thf(c_0_21, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_18])). 0.14/0.52 thf(c_0_22, plain, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($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]:(~($true))) @ X3))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(ext_eqfact,[status(thm)],[c_0_8])). 0.14/0.52 thf(c_0_23, negated_conjecture, ![X4:$i, X3:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1)=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1) @ (epred3_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)|~((epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ X1 @ (esk26_1 @ X1))))), inference(neg_ext,[status(thm)],[c_0_19])). 0.14/0.52 thf(c_0_24, negated_conjecture, ![X3:$i]:((((epred4_2 @ (^[Z0/* 19 */:$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))))|(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))) @ X3))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_20])])). 0.14/0.52 thf(c_0_25, plain, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($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]:(~($true))) @ X3))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X2 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(ext_eqfact,[status(thm)],[c_0_21])). 0.14/0.52 thf(c_0_26, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_22])])])). 0.14/0.52 thf(c_0_27, negated_conjecture, (((epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(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)))))|((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))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24])])). 0.14/0.52 thf(c_0_28, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_25])])])). 0.14/0.52 thf(c_0_29, plain, (((epred1_2 @ (^[Z0/* 19 */:$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))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27])])])). 0.14/0.52 thf(c_0_30, 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))))|((^[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(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29])])])). 0.14/0.52 thf(c_0_31, 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))))|((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_30])])). 0.14/0.52 thf(c_0_32, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($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 */:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.14/0.52 thf(c_0_33, negated_conjecture, (((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|((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(spm,[status(thm)],[c_0_31, c_0_27])). 0.14/0.52 thf(c_0_34, negated_conjecture, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($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 */:$i]:(((p)&~((p))))) @ X3)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.14/0.52 thf(c_0_35, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_32])). 0.14/0.52 thf(c_0_36, negated_conjecture, (((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0)!=(^[Z3/* 3 */:$i]:(($true)))))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(^[Z0/* 3 */:$i]:(($true))))|((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_33])])). 0.14/0.52 thf(c_0_37, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_34])). 0.14/0.52 thf(c_0_38, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (^[Z0/* 9 */:$i]:((~((p))|(p)))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X4)|(X1 @ (^[Z0/* 9 */:$i]:(((p)|~((p))))) @ (^[Z0/* 8 */:$i]:(((p)&~((p))))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.14/0.52 thf(c_0_39, negated_conjecture, ![X3:$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 @ (epred4_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_35])). 0.14/0.52 thf(c_0_40, 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))))=(^[Z0/* 3 */:$i]:(($true)))), inference(csr,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_36]), c_0_24])). 0.14/0.52 thf(c_0_41, plain, ![X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($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]:(~($true))) @ X3))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(ext_eqfact,[status(thm)],[c_0_37])). 0.14/0.52 thf(c_0_42, negated_conjecture, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_38])). 0.14/0.52 thf(c_0_43, negated_conjecture, (((epred1_2 @ (^[Z0/* 19 */:$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))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40])])])). 0.14/0.52 thf(c_0_44, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X3)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_41])])])). 0.14/0.52 thf(c_0_45, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3)<~>(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X3))|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(ext_eqfact,[status(thm)],[c_0_42])). 0.14/0.52 thf(c_0_46, negated_conjecture, ((epred1_2 @ (^[Z0/* 19 */:$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(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_43])])). 0.14/0.52 thf(c_0_47, plain, (((^[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(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_43])])])). 0.14/0.52 thf(c_0_48, plain, ![X4:$i, X3:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X3)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_45])])])). 0.14/0.52 thf(c_0_49, negated_conjecture, ((epred2_2 @ (^[Z0/* 19 */:$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)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_46])])])). 0.14/0.52 thf(c_0_50, plain, ((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_47])])). 0.14/0.52 thf(c_0_51, 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_48, c_0_40])])]), c_0_49]), c_0_49])]), c_0_50])). 0.14/0.52 thf(c_0_52, plain, ($false), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_51])]), ['proof']). 0.14/0.52 # SZS output end CNFRefutation 0.14/0.52 # Parsed axioms : 2 0.14/0.52 # Removed by relevancy pruning/SinE : 0 0.14/0.52 # Initial clauses : 9 0.14/0.52 # Removed in clause preprocessing : 1 0.14/0.52 # Initial clauses in saturation : 8 0.14/0.52 # Processed clauses : 371 0.14/0.52 # ...of these trivial : 21 0.14/0.52 # ...subsumed : 33 0.14/0.52 # ...remaining for further processing : 317 0.14/0.52 # Other redundant clauses eliminated : 8 0.14/0.52 # Clauses deleted for lack of memory : 0 0.14/0.52 # Backward-subsumed : 74 0.14/0.52 # Backward-rewritten : 149 0.14/0.52 # Generated clauses : 670 0.14/0.52 # ...of the previous two non-redundant : 580 0.14/0.52 # ...aggressively subsumed : 0 0.14/0.52 # Contextual simplify-reflections : 10 0.14/0.52 # Paramodulations : 229 0.14/0.52 # Factorizations : 0 0.14/0.52 # NegExts : 61 0.14/0.52 # Equation resolutions : 8 0.14/0.52 # Total rewrite steps : 294 0.14/0.52 # Propositional unsat checks : 0 0.14/0.52 # Propositional check models : 0 0.14/0.52 # Propositional check unsatisfiable : 0 0.14/0.52 # Propositional clauses : 0 0.14/0.52 # Propositional clauses after purity: 0 0.14/0.52 # Propositional unsat core size : 0 0.14/0.52 # Propositional preprocessing time : 0.000 0.14/0.52 # Propositional encoding time : 0.000 0.14/0.52 # Propositional solver time : 0.000 0.14/0.52 # Success case prop preproc time : 0.000 0.14/0.52 # Success case prop encoding time : 0.000 0.14/0.52 # Success case prop solver time : 0.000 0.14/0.52 # Current number of processed clauses : 42 0.14/0.52 # Positive orientable unit clauses : 15 0.14/0.52 # Positive unorientable unit clauses: 0 0.14/0.52 # Negative unit clauses : 5 0.14/0.52 # Non-unit-clauses : 22 0.14/0.52 # Current number of unprocessed clauses: 77 0.14/0.52 # ...number of literals in the above : 312 0.14/0.52 # Current number of archived formulas : 0 0.14/0.52 # Current number of archived clauses : 275 0.14/0.52 # Clause-clause subsumption calls (NU) : 5685 0.14/0.52 # Rec. Clause-clause subsumption calls : 2891 0.14/0.52 # Non-unit clause-clause subsumptions : 93 0.14/0.52 # Unit Clause-clause subsumption calls : 256 0.14/0.52 # Rewrite failures with RHS unbound : 0 0.14/0.52 # BW rewrite match attempts : 133 0.14/0.52 # BW rewrite match successes : 13 0.14/0.52 # Condensation attempts : 0 0.14/0.52 # Condensation successes : 0 0.14/0.52 # Termbank termtop insertions : 226877 0.14/0.52 0.14/0.52 # ------------------------------------------------- 0.14/0.52 # User time : 0.114 s 0.14/0.52 # System time : 0.006 s 0.14/0.52 # Total time : 0.120 s 0.14/0.52 # Maximum resident set size: 1876 pages 0.14/0.52 0.14/0.52 # ------------------------------------------------- 0.14/0.52 # User time : 0.464 s 0.14/0.52 # System time : 0.015 s 0.14/0.52 # Total time : 0.479 s 0.14/0.52 # Maximum resident set size: 1728 pages 0.14/0.52 % E---3.1 exiting 0.14/0.52 EOF