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 : n004.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 14:08:08 UTC 2026
0.17/0.43	% CPUTime  : 
0.17/0.43	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.26/0.51	Running higher-order theorem proving
0.26/0.53	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.oLaINcm2og/E---3.1_3099725.p
38.35/6.16	% Version: 3.5.1-ho
38.35/6.16	% Preprocessing class: HSMSSMSSMLSNHSN.
38.35/6.16	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
38.35/6.16	% Starting new_ho_10_cnf2 with 900s (5) cores
38.35/6.16	% Starting post_as_ho3 with 180s (1) cores
38.35/6.16	% Starting post_as_ho11 with 180s (1) cores
38.35/6.16	% Starting full_lambda_8 with 180s (1) cores
38.35/6.16	% new_ho_10_cnf2 with pid 3099740 completed with status 0
38.35/6.16	% Result found by new_ho_10_cnf2
38.35/6.16	% Preprocessing class: HSMSSMSSMLSNHSN.
38.35/6.16	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
38.35/6.16	% Starting new_ho_10_cnf2 with 900s (5) cores
38.35/6.16	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
38.35/6.16	% No SInE strategy applied
38.35/6.16	% Search class: HGUNF-FFSF11-SHSSMFNN
38.35/6.16	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
38.35/6.16	% Starting SubtermCWHack with 82s (1) cores
38.35/6.16	% Starting new_ho_10_cnf2 with 91s (1) cores
38.35/6.16	% Starting post_as_ho11 with 82s (1) cores
38.35/6.16	% Starting post_as_ho1 with 82s (1) cores
38.35/6.16	% Starting lpo5_fix with 82s (1) cores
38.35/6.16	% lpo5_fix with pid 3099751 completed with status 0
38.35/6.16	% Result found by lpo5_fix
38.35/6.16	% Preprocessing class: HSMSSMSSMLSNHSN.
38.35/6.16	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
38.35/6.16	% Starting new_ho_10_cnf2 with 900s (5) cores
38.35/6.16	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
38.35/6.16	% No SInE strategy applied
38.35/6.16	% Search class: HGUNF-FFSF11-SHSSMFNN
38.35/6.16	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
38.35/6.16	% Starting SubtermCWHack with 82s (1) cores
38.35/6.16	% Starting new_ho_10_cnf2 with 91s (1) cores
38.35/6.16	% Starting post_as_ho11 with 82s (1) cores
38.35/6.16	% Starting post_as_ho1 with 82s (1) cores
38.35/6.16	% Starting lpo5_fix with 82s (1) cores
38.35/6.16	% Preprocessing time       : 0.002 s
38.35/6.16	
38.35/6.16	% Proof found!
38.35/6.16	% SZS status Theorem
38.35/6.16	% SZS output start CNFRefutation
38.35/6.16	thf(decl_23, type, irel: $i > $i > $o).
38.35/6.16	thf(decl_24, type, mnot: ($i > $o) > $i > $o).
38.35/6.16	thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o).
38.35/6.16	thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o).
38.35/6.16	thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
38.35/6.16	thf(decl_28, type, mbox_s4: ($i > $o) > $i > $o).
38.35/6.16	thf(decl_29, type, iatom: ($i > $o) > $i > $o).
38.35/6.16	thf(decl_33, type, iand: ($i > $o) > ($i > $o) > $i > $o).
38.35/6.16	thf(decl_34, type, ior: ($i > $o) > ($i > $o) > $i > $o).
38.35/6.16	thf(decl_35, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
38.35/6.16	thf(decl_39, type, ivalid: ($i > $o) > $o).
38.35/6.16	thf(decl_43, type, f: $i > $o).
38.35/6.16	thf(decl_44, type, p1: $i > $o).
38.35/6.16	thf(decl_45, type, p2: $i > $o).
38.35/6.16	thf(decl_46, type, esk1_0: $i).
38.35/6.16	thf(decl_47, type, esk2_1: $i > $i).
38.35/6.16	thf(decl_48, type, esk3_1: $i > $i).
38.35/6.16	thf(decl_49, type, esk4_1: $i > $i).
38.35/6.16	thf(decl_50, type, esk5_1: $i > $i).
38.35/6.16	thf(decl_51, type, esk6_1: $i > $i).
38.35/6.16	thf(decl_52, type, esk7_1: $i > $i).
38.35/6.16	thf(decl_53, type, esk8_1: $i > $i).
38.35/6.16	thf(mimplies, axiom, ((mimplies)=(^[X4:$i > $o, X5:$i > $o]:(mor @ (mnot @ X4) @ X5))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', mimplies)).
38.35/6.16	thf(mnot, axiom, ((mnot)=(^[X1:$i > $o, X2:$i]:(~((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', mnot)).
38.35/6.16	thf(mor, axiom, ((mor)=(^[X1:$i > $o, X3:$i > $o, X2:$i]:((((X1 @ X2))|((X3 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', mor)).
38.35/6.16	thf(iand, axiom, ((iand)=(^[X6:$i > $o, X10:$i > $o]:(mand @ X6 @ X10))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', iand)).
38.35/6.16	thf(mand, axiom, ((mand)=(^[X1:$i > $o, X3:$i > $o, X2:$i]:((((X1 @ X2))&((X3 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', mand)).
38.35/6.16	thf(ior, axiom, ((ior)=(^[X6:$i > $o, X10:$i > $o]:(mor @ (mbox_s4 @ X6) @ (mbox_s4 @ X10)))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', ior)).
38.35/6.16	thf(mbox_s4, axiom, ((mbox_s4)=(^[X6:$i > $o, X7:$i]:(![X8:$i]:((((irel @ X7 @ X8))=>((X6 @ X8))))))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', mbox_s4)).
38.35/6.16	thf(iimplies, axiom, ((iimplies)=(^[X6:$i > $o, X10:$i > $o]:(mimplies @ (mbox_s4 @ X6) @ (mbox_s4 @ X10)))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', iimplies)).
38.35/6.16	thf(iatom, axiom, ((iatom)=(^[X6:$i > $o]:(X6))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', iatom)).
38.35/6.16	thf(ivalid, axiom, ((ivalid)=(^[X11:$i > $o]:(![X9:$i]:((X11 @ X9))))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', ivalid)).
38.35/6.16	thf(axiom1, axiom, (ivalid @ (iimplies @ (ior @ (iand @ (iatom @ p1) @ (iatom @ p2)) @ (ior @ (iimplies @ (iatom @ p1) @ (iatom @ f)) @ (iimplies @ (iatom @ p2) @ (iatom @ f)))) @ (iatom @ f))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', axiom1)).
38.35/6.16	thf(refl_axiom, axiom, ![X15:$i]:((irel @ X15 @ X15)), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', refl_axiom)).
38.35/6.16	thf(trans_axiom, axiom, ![X12:$i, X13:$i, X14:$i]:((((irel @ X13 @ X14)&(irel @ X12 @ X13))=>(irel @ X12 @ X14))), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', trans_axiom)).
38.35/6.16	thf(con, conjecture, (ivalid @ (iatom @ f)), file('/export/starexec/sandbox/tmp/tmp.oLaINcm2og/E---3.1_3099725.p', con)).
38.35/6.16	thf(c_0_14, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mimplies])).
38.35/6.16	thf(c_0_15, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
38.35/6.16	thf(c_0_16, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mor])).
38.35/6.16	thf(c_0_17, plain, ((iand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))&((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[iand])).
38.35/6.16	thf(c_0_18, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))&((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mand])).
38.35/6.16	thf(c_0_19, plain, ((ior)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((![X22:$i]:((((irel @ Z2 @ X22))=>((Z0 @ X22))))))|((![X23:$i]:((((irel @ Z2 @ X23))=>((Z1 @ X23)))))))))), inference(fof_simplification,[status(thm)],[ior])).
38.35/6.16	thf(c_0_20, plain, ((mbox_s4)=(^[Z0:$i > $o, Z1:$i]:(![X8:$i]:((((irel @ Z1 @ X8))=>((Z0 @ X8))))))), inference(fof_simplification,[status(thm)],[mbox_s4])).
38.35/6.16	thf(c_0_21, plain, ((iimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((![X24:$i]:((((irel @ Z2 @ X24))=>((Z0 @ X24))))))))|((![X25:$i]:((((irel @ Z2 @ X25))=>((Z1 @ X25)))))))))), inference(fof_simplification,[status(thm)],[iimplies])).
38.35/6.16	thf(c_0_22, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14, c_0_15]), c_0_16])).
38.35/6.16	thf(c_0_23, plain, ((iatom)=(^[Z0:$i > $o]:(Z0))), inference(fof_simplification,[status(thm)],[iatom])).
38.35/6.16	thf(c_0_24, plain, ((iand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))&((Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_17, c_0_18])).
38.35/6.16	thf(c_0_25, plain, ((ior)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((![X22:$i]:((((irel @ Z2 @ X22))=>((Z0 @ X22))))))|((![X23:$i]:((((irel @ Z2 @ X23))=>((Z1 @ X23)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19, c_0_16]), c_0_20])).
38.35/6.16	thf(c_0_26, plain, ((iimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((![X24:$i]:((((irel @ Z2 @ X24))=>((Z0 @ X24))))))))|((![X25:$i]:((((irel @ Z2 @ X25))=>((Z1 @ X25)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_22]), c_0_20])).
38.35/6.16	thf(c_0_27, plain, ((ivalid)=(^[Z0:$i > $o]:(![X9:$i]:((Z0 @ X9))))), inference(fof_simplification,[status(thm)],[ivalid])).
38.35/6.16	thf(c_0_28, plain, ![X48:$i]:((~(![X46:$i]:(((irel @ X48 @ X46)=>(![X44:$i]:(((irel @ X46 @ X44)=>((p1 @ X44)&(p2 @ X44))))|![X45:$i]:(((irel @ X46 @ X45)=>(![X42:$i]:(((irel @ X45 @ X42)=>(~(![X38:$i]:(((irel @ X42 @ X38)=>(p1 @ X38))))|![X39:$i]:(((irel @ X42 @ X39)=>(f @ X39))))))|![X43:$i]:(((irel @ X45 @ X43)=>(~(![X40:$i]:(((irel @ X43 @ X40)=>(p2 @ X40))))|![X41:$i]:(((irel @ X43 @ X41)=>(f @ X41)))))))))))))|![X47:$i]:(((irel @ X48 @ X47)=>(f @ X47))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom1, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27])).
38.35/6.16	thf(c_0_29, plain, ![X54:$i, X59:$i, X62:$i, X64:$i]:((((irel @ X54 @ (esk2_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64)))&((((irel @ (esk2_1 @ X54) @ (esk3_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64)))&(~(p1 @ (esk3_1 @ X54))|~(p2 @ (esk3_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64))))&(((irel @ (esk2_1 @ X54) @ (esk4_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64)))&((((irel @ (esk4_1 @ X54) @ (esk5_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64)))&((~(irel @ (esk5_1 @ X54) @ X59)|(p1 @ X59)|(~(irel @ X54 @ X64)|(f @ X64)))&(((irel @ (esk5_1 @ X54) @ (esk6_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64)))&(~(f @ (esk6_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64))))))&(((irel @ (esk4_1 @ X54) @ (esk7_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64)))&((~(irel @ (esk7_1 @ X54) @ X62)|(p2 @ X62)|(~(irel @ X54 @ X64)|(f @ X64)))&(((irel @ (esk7_1 @ X54) @ (esk8_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64)))&(~(f @ (esk8_1 @ X54))|(~(irel @ X54 @ X64)|(f @ X64))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])])])).
38.35/6.16	thf(c_0_30, plain, ![X52:$i]:((irel @ X52 @ X52)), inference(variable_rename,[status(thm)],[refl_axiom])).
38.35/6.16	thf(c_0_31, plain, ![X2:$i, X7:$i]:(((irel @ (esk5_1 @ X2) @ (esk6_1 @ X2))|(f @ X7)|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_32, plain, ![X2:$i]:((irel @ X2 @ X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
38.35/6.16	thf(c_0_33, plain, ![X2:$i, X7:$i]:(((f @ X7)|~((f @ (esk6_1 @ X2)))|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_34, plain, ![X49:$i, X50:$i, X51:$i]:((~(irel @ X50 @ X51)|~(irel @ X49 @ X50)|(irel @ X49 @ X51))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[trans_axiom])])])).
38.35/6.16	thf(c_0_35, plain, ![X2:$i, X7:$i]:(((irel @ X2 @ (esk2_1 @ X2))|(f @ X7)|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_36, plain, ![X2:$i]:(((irel @ (esk5_1 @ X2) @ (esk6_1 @ X2))|(f @ X2))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
38.35/6.16	thf(c_0_37, plain, ![X2:$i]:(((f @ X2)|~((f @ (esk6_1 @ X2))))), inference(spm,[status(thm)],[c_0_33, c_0_32])).
38.35/6.16	thf(c_0_38, plain, ![X8:$i, X7:$i, X2:$i]:(((irel @ X8 @ X7)|~((irel @ X2 @ X7))|~((irel @ X8 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_34])).
38.35/6.16	thf(c_0_39, plain, ![X2:$i]:(((irel @ (esk5_1 @ X2) @ (esk2_1 @ (esk5_1 @ X2)))|(f @ X2))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])).
38.35/6.16	thf(c_0_40, plain, ![X2:$i, X7:$i]:(((irel @ (esk2_1 @ X2) @ (esk4_1 @ X2))|(f @ X7)|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_41, plain, ![X2:$i, X7:$i]:(((irel @ (esk5_1 @ X2) @ X7)|(f @ X2)|~((irel @ (esk2_1 @ (esk5_1 @ X2)) @ X7)))), inference(spm,[status(thm)],[c_0_38, c_0_39])).
38.35/6.16	thf(c_0_42, plain, ![X2:$i]:(((irel @ (esk2_1 @ (esk5_1 @ X2)) @ (esk4_1 @ (esk5_1 @ X2)))|(f @ X2))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_36]), c_0_37])).
38.35/6.16	thf(c_0_43, plain, ![X2:$i]:(((irel @ (esk5_1 @ X2) @ (esk4_1 @ (esk5_1 @ X2)))|(f @ X2))), inference(spm,[status(thm)],[c_0_41, c_0_42])).
38.35/6.16	thf(c_0_44, plain, ![X2:$i, X7:$i]:(((irel @ (esk4_1 @ X2) @ (esk7_1 @ X2))|(f @ X7)|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_45, plain, ![X2:$i, X7:$i]:(((irel @ (esk7_1 @ X2) @ (esk8_1 @ X2))|(f @ X7)|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_46, plain, ![X2:$i]:(((irel @ X2 @ (esk2_1 @ X2))|(f @ X2))), inference(spm,[status(thm)],[c_0_35, c_0_32])).
38.35/6.16	thf(c_0_47, plain, ![X2:$i, X7:$i]:(((irel @ (esk2_1 @ X2) @ (esk3_1 @ X2))|(f @ X7)|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_48, plain, ![X2:$i, X7:$i]:(((irel @ (esk5_1 @ X2) @ X7)|(f @ X2)|~((irel @ (esk4_1 @ (esk5_1 @ X2)) @ X7)))), inference(spm,[status(thm)],[c_0_38, c_0_43])).
38.35/6.16	thf(c_0_49, plain, ![X2:$i]:(((irel @ (esk4_1 @ (esk5_1 @ X2)) @ (esk7_1 @ (esk5_1 @ X2)))|(f @ X2))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_36]), c_0_37])).
38.35/6.16	thf(c_0_50, plain, ![X2:$i]:(((irel @ (esk7_1 @ (esk5_1 @ X2)) @ (esk8_1 @ (esk5_1 @ X2)))|(f @ X2))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_36]), c_0_37])).
38.35/6.16	thf(c_0_51, plain, ![X2:$i, X7:$i]:(((irel @ X2 @ X7)|(f @ X2)|~((irel @ (esk2_1 @ X2) @ X7)))), inference(spm,[status(thm)],[c_0_38, c_0_46])).
38.35/6.16	thf(c_0_52, plain, ![X2:$i]:(((irel @ (esk2_1 @ X2) @ (esk3_1 @ X2))|(f @ X2))), inference(spm,[status(thm)],[c_0_47, c_0_32])).
38.35/6.16	thf(c_0_53, plain, ![X2:$i, X7:$i]:(((f @ X7)|~((f @ (esk8_1 @ X2)))|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_54, plain, ![X2:$i]:(((irel @ (esk5_1 @ X2) @ (esk7_1 @ (esk5_1 @ X2)))|(f @ X2))), inference(spm,[status(thm)],[c_0_48, c_0_49])).
38.35/6.16	thf(c_0_55, plain, ![X2:$i, X7:$i]:(((irel @ (esk7_1 @ (esk5_1 @ X2)) @ X7)|(f @ X2)|~((irel @ (esk8_1 @ (esk5_1 @ X2)) @ X7)))), inference(spm,[status(thm)],[c_0_38, c_0_50])).
38.35/6.16	thf(c_0_56, plain, ![X2:$i]:(((irel @ X2 @ (esk3_1 @ X2))|(f @ X2))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
38.35/6.16	thf(c_0_57, plain, ![X2:$i]:(((f @ X2)|~((f @ (esk8_1 @ (esk5_1 @ X2)))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_36]), c_0_37])).
38.35/6.16	thf(c_0_58, negated_conjecture, ~((ivalid @ (iatom @ f))), inference(assume_negation,[status(cth)],[con])).
38.35/6.16	thf(c_0_59, plain, ![X2:$i, X7:$i, X8:$i]:(((p1 @ X7)|(f @ X8)|~((irel @ (esk5_1 @ X2) @ X7))|~((irel @ X2 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_60, plain, ![X2:$i, X7:$i]:(((irel @ (esk5_1 @ X2) @ X7)|(f @ X2)|~((irel @ (esk7_1 @ (esk5_1 @ X2)) @ X7)))), inference(spm,[status(thm)],[c_0_38, c_0_54])).
38.35/6.16	thf(c_0_61, plain, ![X2:$i]:(((irel @ (esk7_1 @ (esk5_1 @ X2)) @ (esk3_1 @ (esk8_1 @ (esk5_1 @ X2))))|(f @ X2))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57])).
38.35/6.16	thf(c_0_62, plain, ![X2:$i, X7:$i, X8:$i]:(((p2 @ X7)|(f @ X8)|~((irel @ (esk7_1 @ X2) @ X7))|~((irel @ X2 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_63, negated_conjecture, ~(![X37:$i]:((f @ X37))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_58, c_0_23]), c_0_27])).
38.35/6.16	thf(c_0_64, plain, ![X2:$i, X7:$i]:(((f @ X7)|~((p1 @ (esk3_1 @ X2)))|~((p2 @ (esk3_1 @ X2)))|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_29])).
38.35/6.16	thf(c_0_65, plain, ![X2:$i, X7:$i]:(((f @ X2)|(p1 @ X7)|~((irel @ (esk5_1 @ X2) @ X7)))), inference(spm,[status(thm)],[c_0_59, c_0_32])).
38.35/6.16	thf(c_0_66, plain, ![X2:$i]:(((irel @ (esk5_1 @ X2) @ (esk3_1 @ (esk8_1 @ (esk5_1 @ X2))))|(f @ X2))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
38.35/6.16	thf(c_0_67, plain, ![X2:$i, X7:$i]:(((f @ X2)|(p2 @ X7)|~((irel @ (esk7_1 @ (esk5_1 @ X2)) @ X7)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_36]), c_0_37])).
38.35/6.16	thf(c_0_68, negated_conjecture, ~(f @ esk1_0), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])])).
38.35/6.16	thf(c_0_69, plain, ![X2:$i]:(((f @ X2)|~((p1 @ (esk3_1 @ X2)))|~((p2 @ (esk3_1 @ X2))))), inference(spm,[status(thm)],[c_0_64, c_0_32])).
38.35/6.16	thf(c_0_70, plain, ![X2:$i]:(((p1 @ (esk3_1 @ (esk8_1 @ (esk5_1 @ X2))))|(f @ X2))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
38.35/6.16	thf(c_0_71, plain, ![X2:$i]:(((p2 @ (esk3_1 @ (esk8_1 @ (esk5_1 @ X2))))|(f @ X2))), inference(spm,[status(thm)],[c_0_67, c_0_61])).
38.35/6.16	thf(c_0_72, negated_conjecture, ~((f @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_68])).
38.35/6.16	thf(c_0_73, plain, ![X2:$i]:((f @ X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71]), c_0_57])).
38.35/6.16	thf(c_0_74, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73])]), ['proof']).
38.35/6.16	% SZS output end CNFRefutation
38.35/6.16	% Parsed axioms                        : 46
38.35/6.16	% Removed by relevancy pruning/SinE    : 0
38.35/6.16	% Initial clauses                      : 38
38.35/6.16	% Removed in clause preprocessing      : 23
38.35/6.16	% Initial clauses in saturation        : 15
38.35/6.16	% Processed clauses                    : 5520
38.35/6.16	% ...of these trivial                  : 0
38.35/6.16	% ...subsumed                          : 3774
38.35/6.16	% ...remaining for further processing  : 1746
38.35/6.16	% Other redundant clauses eliminated   : 0
38.35/6.16	% Clauses deleted for lack of memory   : 0
38.35/6.16	% Backward-subsumed                    : 374
38.35/6.16	% Backward-rewritten                   : 1369
38.35/6.16	% Generated clauses                    : 173028
38.35/6.16	% ...of the previous two non-redundant : 173017
38.35/6.16	% ...aggressively subsumed             : 0
38.35/6.16	% Contextual simplify-reflections      : 328
38.35/6.16	% Paramodulations                      : 173028
38.35/6.16	% Factorizations                       : 0
38.35/6.16	% NegExts                              : 0
38.35/6.16	% Equation resolutions                 : 0
38.35/6.16	% Disequality decompositions           : 0
38.35/6.16	% Total rewrite steps                  : 892
38.35/6.16	% ...of those cached                   : 788
38.35/6.16	% Propositional unsat checks           : 0
38.35/6.16	%    Propositional check models        : 0
38.35/6.16	%    Propositional check unsatisfiable : 0
38.35/6.16	%    Propositional clauses             : 0
38.35/6.16	%    Propositional clauses after purity: 0
38.35/6.16	%    Propositional unsat core size     : 0
38.35/6.16	%    Propositional preprocessing time  : 0.000
38.35/6.16	%    Propositional encoding time       : 0.000
38.35/6.16	%    Propositional solver time         : 0.000
38.35/6.16	%    Success case prop preproc time    : 0.000
38.35/6.16	%    Success case prop encoding time   : 0.000
38.35/6.16	%    Success case prop solver time     : 0.000
38.35/6.16	% Current number of processed clauses  : 3
38.35/6.16	%    Positive orientable unit clauses  : 2
38.35/6.16	%    Positive unorientable unit clauses: 0
38.35/6.16	%    Negative unit clauses             : 0
38.35/6.16	%    Non-unit-clauses                  : 1
38.35/6.16	% Current number of unprocessed clauses: 165995
38.35/6.16	% ...number of literals in the above   : 651824
38.35/6.16	% Current number of archived formulas  : 0
38.35/6.16	% Current number of archived clauses   : 1743
38.35/6.16	% Clause-clause subsumption calls (NU) : 238451
38.35/6.16	% Rec. Clause-clause subsumption calls : 133162
38.35/6.16	% Non-unit clause-clause subsumptions  : 4476
38.35/6.16	% Unit Clause-clause subsumption calls : 0
38.35/6.16	% Rewrite failures with RHS unbound    : 0
38.35/6.16	% BW rewrite match attempts            : 104
38.35/6.16	% BW rewrite match successes           : 104
38.35/6.16	% Condensation attempts                : 5520
38.35/6.16	% Condensation successes               : 0
38.35/6.16	% Termbank termtop insertions          : 3301122
38.35/6.16	% Search garbage collected termcells   : 865
38.35/6.16	
38.35/6.16	% -------------------------------------------------
38.35/6.16	% User time                : 5.210 s
38.35/6.16	% System time              : 0.229 s
38.35/6.16	% Total time               : 5.439 s
38.35/6.16	% Maximum resident set size: 3664 pages
38.35/6.16	
38.35/6.16	% -------------------------------------------------
38.35/6.16	% User time                : 26.337 s
38.35/6.16	% System time              : 1.025 s
38.35/6.16	% Total time               : 27.362 s
38.35/6.16	% Maximum resident set size: 4864 pages
38.35/6.16	% E exiting
38.35/6.16	EOF