%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO069^4.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:43:45 AM UTC 2026
% Result : Theorem 101.20s 15.00s
% Output : CNFRefutation 101.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO069^4.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n017.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Sep 29 16:24:52 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running higher-order theorem proving
% 0.06/0.22 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=300 /export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p
% 101.20/15.00 % Version: 3.5.1-ho
% 101.20/15.00 % Preprocessing class: HSMSSMSSMLSNHSN.
% 101.20/15.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 101.20/15.00 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 101.20/15.00 % Starting post_as_ho3 with 300s (1) cores
% 101.20/15.00 % Starting post_as_ho11 with 300s (1) cores
% 101.20/15.00 % Starting full_lambda_8 with 300s (1) cores
% 101.20/15.00 % new_ho_10_cnf2 with pid 548657 completed with status 0
% 101.20/15.00 % Result found by new_ho_10_cnf2
% 101.20/15.00 % Preprocessing class: HSMSSMSSMLSNHSN.
% 101.20/15.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 101.20/15.00 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 101.20/15.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 101.20/15.00 % No SInE strategy applied
% 101.20/15.00 % Search class: HGHNF-FFMF11-SHSSMFNN
% 101.20/15.00 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 101.20/15.00 % Starting SubtermCWHack with 151s (1) cores
% 101.20/15.00 % Starting new_ho_10_cnf2 with 901s (1) cores
% 101.20/15.00 % Starting post_as_ho11 with 151s (1) cores
% 101.20/15.00 % Starting new_ho_9 with 151s (1) cores
% 101.20/15.00 % Starting post_as_ho4 with 146s (1) cores
% 101.20/15.00 % post_as_ho11 with pid 548665 completed with status 0
% 101.20/15.00 % Result found by post_as_ho11
% 101.20/15.00 % Preprocessing class: HSMSSMSSMLSNHSN.
% 101.20/15.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 101.20/15.00 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 101.20/15.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 101.20/15.00 % No SInE strategy applied
% 101.20/15.00 % Search class: HGHNF-FFMF11-SHSSMFNN
% 101.20/15.00 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 101.20/15.00 % Starting SubtermCWHack with 151s (1) cores
% 101.20/15.00 % Starting new_ho_10_cnf2 with 901s (1) cores
% 101.20/15.00 % Starting post_as_ho11 with 151s (1) cores
% 101.20/15.00 % Preprocessing time : 0.002 s
% 101.20/15.00
% 101.20/15.00 % Proof found!
% 101.20/15.00 % SZS status Theorem
% 101.20/15.00 % SZS output start CNFRefutation
% 101.20/15.00 thf(decl_23, type, irel: $i > $i > $o).
% 101.20/15.00 thf(decl_24, type, mnot: ($i > $o) > $i > $o).
% 101.20/15.00 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 101.20/15.00 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 101.20/15.00 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 101.20/15.00 thf(decl_28, type, mbox_s4: ($i > $o) > $i > $o).
% 101.20/15.00 thf(decl_29, type, iatom: ($i > $o) > $i > $o).
% 101.20/15.00 thf(decl_33, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 101.20/15.00 thf(decl_35, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 101.20/15.00 thf(decl_39, type, ivalid: ($i > $o) > $o).
% 101.20/15.00 thf(decl_43, type, a0: $i > $o).
% 101.20/15.00 thf(decl_44, type, a1: $i > $o).
% 101.20/15.00 thf(decl_45, type, b0: $i > $o).
% 101.20/15.00 thf(decl_46, type, b1: $i > $o).
% 101.20/15.00 thf(decl_47, type, f: $i > $o).
% 101.20/15.00 thf(decl_48, type, epred1_1: $i > $o).
% 101.20/15.00 thf(decl_49, type, epred2_1: $i > $o).
% 101.20/15.00 thf(decl_50, type, esk1_0: $i).
% 101.20/15.00 thf(decl_51, type, esk2_0: $i).
% 101.20/15.00 thf(decl_52, type, esk3_0: $i).
% 101.20/15.00 thf(decl_53, type, esk4_1: $i > $i).
% 101.20/15.00 thf(decl_54, type, esk5_1: $i > $i).
% 101.20/15.00 thf(decl_55, type, esk6_1: $i > $i).
% 101.20/15.00 thf(decl_56, type, esk7_1: $i > $i).
% 101.20/15.00 thf(decl_57, type, esk8_1: $i > $i).
% 101.20/15.00 thf(decl_58, type, esk9_1: $i > $i).
% 101.20/15.00 thf(decl_59, type, esk10_1: $i > $i).
% 101.20/15.00 thf(decl_60, type, esk11_1: $i > $i).
% 101.20/15.00 thf(decl_61, type, esk12_1: $i > $i).
% 101.20/15.00 thf(decl_62, type, esk13_1: $i > $i).
% 101.20/15.00 thf(mimplies, axiom, ((mimplies)=(^[X10:$i > $o, X11:$i > $o]:(mor @ (mnot @ X10) @ X11))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', mimplies)).
% 101.20/15.00 thf(mnot, axiom, ((mnot)=(^[X4:$i > $o, X5:$i]:(~((X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', mnot)).
% 101.20/15.00 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X5:$i]:((((X6 @ X5))|((X7 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', mor)).
% 101.20/15.00 thf(refl_axiom, axiom, ![X1:$i]:((irel @ X1 @ X1)), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', refl_axiom)).
% 101.20/15.00 thf(trans_axiom, axiom, ![X1:$i, X2:$i, X3:$i]:((((irel @ X1 @ X2)&(irel @ X2 @ X3))=>(irel @ X1 @ X3))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', trans_axiom)).
% 101.20/15.00 thf(iand, axiom, ((iand)=(^[X12:$i > $o, X14:$i > $o]:(mand @ X12 @ X14))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', iand)).
% 101.20/15.00 thf(mand, axiom, ((mand)=(^[X8:$i > $o, X9:$i > $o, X5:$i]:((((X8 @ X5))&((X9 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', mand)).
% 101.20/15.00 thf(iimplies, axiom, ((iimplies)=(^[X12:$i > $o, X14:$i > $o]:(mimplies @ (mbox_s4 @ X12) @ (mbox_s4 @ X14)))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', iimplies)).
% 101.20/15.00 thf(mbox_s4, axiom, ((mbox_s4)=(^[X12:$i > $o, X1:$i]:(![X2:$i]:((((irel @ X1 @ X2))=>((X12 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', mbox_s4)).
% 101.20/15.00 thf(con, conjecture, (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))) @ (iatom @ f)))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', con)).
% 101.20/15.00 thf(iatom, axiom, ((iatom)=(^[X12:$i > $o]:(X12))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', iatom)).
% 101.20/15.00 thf(ivalid, axiom, ((ivalid)=(^[X15:$i > $o]:(![X13:$i]:((X15 @ X13))))), file('/export/starexec/sandbox/tmp/tmp.RK5GPZ51Xq/E---3.1_548644.p', ivalid)).
% 101.20/15.00 thf(c_0_12, plain, ![X59:$i]:(((epred2_1 @ X59)<=>((~(![X51:$i]:(((irel @ X59 @ X51)=>(~(![X49:$i]:(((irel @ X51 @ X49)=>(b0 @ X49))))|![X50:$i]:(((irel @ X51 @ X50)=>(a1 @ X50)))))))|![X52:$i]:(((irel @ X59 @ X52)=>(a0 @ X52))))&((~(![X55:$i]:(((irel @ X59 @ X55)=>(~(![X53:$i]:(((irel @ X55 @ X53)=>(b1 @ X53))))|![X54:$i]:(((irel @ X55 @ X54)=>(b0 @ X54)))))))|![X56:$i]:(((irel @ X59 @ X56)=>(a1 @ X56))))&(~(![X57:$i]:(((irel @ X59 @ X57)=>(a0 @ X57))))|![X58:$i]:(((irel @ X59 @ X58)=>(f @ X58)))))))), introduced(definition)).
% 101.20/15.00 thf(c_0_13, plain, ![X47:$i]:(((epred1_1 @ X47)<=>((~(![X37:$i]:(((irel @ X47 @ X37)=>(a0 @ X37))))|![X38:$i]:(((irel @ X47 @ X38)=>(f @ X38))))&((~(![X41:$i]:(((irel @ X47 @ X41)=>(~(![X39:$i]:(((irel @ X41 @ X39)=>(b1 @ X39))))|![X40:$i]:(((irel @ X41 @ X40)=>(b0 @ X40)))))))|![X42:$i]:(((irel @ X47 @ X42)=>(a1 @ X42))))&(~(![X45:$i]:(((irel @ X47 @ X45)=>(~(![X43:$i]:(((irel @ X45 @ X43)=>(b0 @ X43))))|![X44:$i]:(((irel @ X45 @ X44)=>(a1 @ X44)))))))|![X46:$i]:(((irel @ X47 @ X46)=>(a0 @ X46)))))))), introduced(definition)).
% 101.20/15.00 thf(c_0_14, plain, ![X59:$i]:(((epred2_1 @ X59)=>((~(![X51:$i]:(((irel @ X59 @ X51)=>(~(![X49:$i]:(((irel @ X51 @ X49)=>(b0 @ X49))))|![X50:$i]:(((irel @ X51 @ X50)=>(a1 @ X50)))))))|![X52:$i]:(((irel @ X59 @ X52)=>(a0 @ X52))))&((~(![X55:$i]:(((irel @ X59 @ X55)=>(~(![X53:$i]:(((irel @ X55 @ X53)=>(b1 @ X53))))|![X54:$i]:(((irel @ X55 @ X54)=>(b0 @ X54)))))))|![X56:$i]:(((irel @ X59 @ X56)=>(a1 @ X56))))&(~(![X57:$i]:(((irel @ X59 @ X57)=>(a0 @ X57))))|![X58:$i]:(((irel @ X59 @ X58)=>(f @ X58)))))))), inference(split_equiv,[status(thm)],[c_0_12])).
% 101.20/15.00 thf(c_0_15, plain, ![X47:$i]:(((epred1_1 @ X47)=>((~(![X37:$i]:(((irel @ X47 @ X37)=>(a0 @ X37))))|![X38:$i]:(((irel @ X47 @ X38)=>(f @ X38))))&((~(![X41:$i]:(((irel @ X47 @ X41)=>(~(![X39:$i]:(((irel @ X41 @ X39)=>(b1 @ X39))))|![X40:$i]:(((irel @ X41 @ X40)=>(b0 @ X40)))))))|![X42:$i]:(((irel @ X47 @ X42)=>(a1 @ X42))))&(~(![X45:$i]:(((irel @ X47 @ X45)=>(~(![X43:$i]:(((irel @ X45 @ X43)=>(b0 @ X43))))|![X44:$i]:(((irel @ X45 @ X44)=>(a1 @ X44)))))))|![X46:$i]:(((irel @ X47 @ X46)=>(a0 @ X46)))))))), inference(split_equiv,[status(thm)],[c_0_13])).
% 101.20/15.00 thf(c_0_16, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mimplies])).
% 101.20/15.00 thf(c_0_17, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
% 101.20/15.00 thf(c_0_18, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mor])).
% 101.20/15.00 thf(c_0_19, plain, ![X82:$i, X84:$i, X86:$i, X88:$i, X90:$i, X92:$i]:(((((irel @ X82 @ (esk9_1 @ X82))|(~(irel @ X82 @ X86)|(a0 @ X86))|~(epred2_1 @ X82))&((~(irel @ (esk9_1 @ X82) @ X84)|(b0 @ X84)|(~(irel @ X82 @ X86)|(a0 @ X86))|~(epred2_1 @ X82))&(((irel @ (esk9_1 @ X82) @ (esk10_1 @ X82))|(~(irel @ X82 @ X86)|(a0 @ X86))|~(epred2_1 @ X82))&(~(a1 @ (esk10_1 @ X82))|(~(irel @ X82 @ X86)|(a0 @ X86))|~(epred2_1 @ X82)))))&((((irel @ X82 @ (esk11_1 @ X82))|(~(irel @ X82 @ X90)|(a1 @ X90))|~(epred2_1 @ X82))&((~(irel @ (esk11_1 @ X82) @ X88)|(b1 @ X88)|(~(irel @ X82 @ X90)|(a1 @ X90))|~(epred2_1 @ X82))&(((irel @ (esk11_1 @ X82) @ (esk12_1 @ X82))|(~(irel @ X82 @ X90)|(a1 @ X90))|~(epred2_1 @ X82))&(~(b0 @ (esk12_1 @ X82))|(~(irel @ X82 @ X90)|(a1 @ X90))|~(epred2_1 @ X82)))))&(((irel @ X82 @ (esk13_1 @ X82))|(~(irel @ X82 @ X92)|(f @ X92))|~(epred2_1 @ X82))&(~(a0 @ (esk13_1 @ X82))|(~(irel @ X82 @ X92)|(f @ X92))|~(epred2_1 @ X82)))))), 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_14])])])])])])).
% 101.20/15.00 thf(c_0_20, plain, ![X62:$i]:((irel @ X62 @ X62)), inference(variable_rename,[status(thm)],[refl_axiom])).
% 101.20/15.00 thf(c_0_21, plain, ![X63:$i, X64:$i, X65:$i]:((~(irel @ X63 @ X64)|~(irel @ X64 @ X65)|(irel @ X63 @ X65))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[trans_axiom])])])).
% 101.20/15.00 thf(c_0_22, plain, ![X71:$i, X73:$i, X75:$i, X77:$i, X79:$i, X81:$i]:(((((irel @ X71 @ (esk4_1 @ X71))|(~(irel @ X71 @ X73)|(f @ X73))|~(epred1_1 @ X71))&(~(a0 @ (esk4_1 @ X71))|(~(irel @ X71 @ X73)|(f @ X73))|~(epred1_1 @ X71)))&((((irel @ X71 @ (esk5_1 @ X71))|(~(irel @ X71 @ X77)|(a1 @ X77))|~(epred1_1 @ X71))&((~(irel @ (esk5_1 @ X71) @ X75)|(b1 @ X75)|(~(irel @ X71 @ X77)|(a1 @ X77))|~(epred1_1 @ X71))&(((irel @ (esk5_1 @ X71) @ (esk6_1 @ X71))|(~(irel @ X71 @ X77)|(a1 @ X77))|~(epred1_1 @ X71))&(~(b0 @ (esk6_1 @ X71))|(~(irel @ X71 @ X77)|(a1 @ X77))|~(epred1_1 @ X71)))))&(((irel @ X71 @ (esk7_1 @ X71))|(~(irel @ X71 @ X81)|(a0 @ X81))|~(epred1_1 @ X71))&((~(irel @ (esk7_1 @ X71) @ X79)|(b0 @ X79)|(~(irel @ X71 @ X81)|(a0 @ X81))|~(epred1_1 @ X71))&(((irel @ (esk7_1 @ X71) @ (esk8_1 @ X71))|(~(irel @ X71 @ X81)|(a0 @ X81))|~(epred1_1 @ X71))&(~(a1 @ (esk8_1 @ X71))|(~(irel @ X71 @ X81)|(a0 @ X81))|~(epred1_1 @ X71)))))))), 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_15])])])])])])).
% 101.20/15.00 thf(c_0_23, plain, ((iand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))&((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[iand])).
% 101.20/15.00 thf(c_0_24, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))&((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mand])).
% 101.20/15.00 thf(c_0_25, 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])).
% 101.20/15.00 thf(c_0_26, 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_16, c_0_17]), c_0_18])).
% 101.20/15.00 thf(c_0_27, plain, ((mbox_s4)=(^[Z0:$i > $o, Z1:$i]:(![X2:$i]:((((irel @ Z1 @ X2))=>((Z0 @ X2))))))), inference(fof_simplification,[status(thm)],[mbox_s4])).
% 101.20/15.00 thf(c_0_28, plain, ![X3:$i, X2:$i, X1:$i]:(((b0 @ X2)|(a0 @ X3)|~((irel @ (esk9_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 101.20/15.00 thf(c_0_29, plain, ![X1:$i]:((irel @ X1 @ X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
% 101.20/15.00 thf(c_0_30, plain, ![X1:$i, X2:$i, X3:$i]:(((irel @ X1 @ X3)|~((irel @ X1 @ X2))|~((irel @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_21])).
% 101.20/15.00 thf(c_0_31, plain, ![X2:$i, X1:$i]:(((irel @ (esk9_1 @ X1) @ (esk10_1 @ X1))|(a0 @ X2)|~((irel @ X1 @ X2))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 101.20/15.00 thf(c_0_32, plain, ![X2:$i, X1:$i]:(((irel @ (esk11_1 @ X1) @ (esk12_1 @ X1))|(a1 @ X2)|~((irel @ X1 @ X2))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 101.20/15.00 thf(c_0_33, plain, ![X3:$i, X2:$i, X1:$i]:(((b0 @ X2)|(a0 @ X3)|~((irel @ (esk7_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 101.20/15.00 thf(c_0_34, plain, ![X2:$i, X1:$i]:(((irel @ (esk7_1 @ X1) @ (esk8_1 @ X1))|(a0 @ X2)|~((irel @ X1 @ X2))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 101.20/15.00 thf(c_0_35, plain, ![X2:$i, X1:$i]:(((irel @ (esk5_1 @ X1) @ (esk6_1 @ X1))|(a1 @ X2)|~((irel @ X1 @ X2))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 101.20/15.00 thf(c_0_36, negated_conjecture, ~((ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))) @ (iatom @ f))))), inference(assume_negation,[status(cth)],[con])).
% 101.20/15.00 thf(c_0_37, plain, ((iatom)=(^[Z0:$i > $o]:(Z0))), inference(fof_simplification,[status(thm)],[iatom])).
% 101.20/15.00 thf(c_0_38, plain, ((iand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))&((Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_23, c_0_24])).
% 101.20/15.00 thf(c_0_39, 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_25, c_0_26]), c_0_27])).
% 101.20/15.00 thf(c_0_40, plain, ((ivalid)=(^[Z0:$i > $o]:(![X13:$i]:((Z0 @ X13))))), inference(fof_simplification,[status(thm)],[ivalid])).
% 101.20/15.00 thf(c_0_41, plain, ![X2:$i, X1:$i]:(((a1 @ X2)|~((b0 @ (esk12_1 @ X1)))|~((irel @ X1 @ X2))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 101.20/15.00 thf(c_0_42, plain, ![X2:$i, X1:$i]:(((a0 @ X1)|(b0 @ X2)|~((irel @ (esk9_1 @ X1) @ X2))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 101.20/15.00 thf(c_0_43, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ (esk9_1 @ X1) @ X2)|(a0 @ X3)|~((irel @ (esk10_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 101.20/15.00 thf(c_0_44, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ (esk11_1 @ X1))|(a1 @ X2)|~((irel @ X1 @ X2))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 101.20/15.00 thf(c_0_45, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ (esk11_1 @ X1) @ X2)|(a1 @ X3)|~((irel @ (esk12_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_32])).
% 101.20/15.00 thf(c_0_46, plain, ![X2:$i, X1:$i]:(((a1 @ X2)|~((b0 @ (esk6_1 @ X1)))|~((irel @ X1 @ X2))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 101.20/15.00 thf(c_0_47, plain, ![X2:$i, X1:$i]:(((a0 @ X1)|(b0 @ X2)|~((irel @ (esk7_1 @ X1) @ X2))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_33, c_0_29])).
% 101.20/15.00 thf(c_0_48, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ (esk7_1 @ X1) @ X2)|(a0 @ X3)|~((irel @ (esk8_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_34])).
% 101.20/15.00 thf(c_0_49, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ (esk5_1 @ X1))|(a1 @ X2)|~((irel @ X1 @ X2))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 101.20/15.00 thf(c_0_50, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ (esk5_1 @ X1) @ X2)|(a1 @ X3)|~((irel @ (esk6_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_35])).
% 101.20/15.00 thf(c_0_51, negated_conjecture, ~(![X61:$i]:(((~(![X47:$i]:(((irel @ X61 @ X47)=>(epred1_1 @ X47))))|![X48:$i]:(((irel @ X61 @ X48)=>(f @ X48))))&(~(![X59:$i]:(((irel @ X61 @ X59)=>(epred2_1 @ X59))))|![X60:$i]:(((irel @ X61 @ X60)=>(f @ X60))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_36, c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_13]), c_0_12])).
% 101.20/15.00 thf(c_0_52, plain, ![X1:$i]:(((a1 @ X1)|~((b0 @ (esk12_1 @ X1)))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_41, c_0_29])).
% 101.20/15.00 thf(c_0_53, plain, ![X1:$i, X3:$i, X2:$i]:(((b0 @ X1)|(a0 @ X2)|~((irel @ (esk9_1 @ X2) @ X3))|~((irel @ X3 @ X1))|~((epred2_1 @ X2)))), inference(spm,[status(thm)],[c_0_42, c_0_30])).
% 101.20/15.00 thf(c_0_54, plain, ![X2:$i, X1:$i]:(((irel @ (esk9_1 @ X1) @ X2)|(a0 @ X1)|~((irel @ (esk10_1 @ X1) @ X2))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_43, c_0_29])).
% 101.20/15.00 thf(c_0_55, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ X1 @ X2)|(a1 @ X3)|~((irel @ (esk11_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_44])).
% 101.20/15.00 thf(c_0_56, plain, ![X2:$i, X1:$i]:(((irel @ (esk11_1 @ X1) @ X2)|(a1 @ X1)|~((irel @ (esk12_1 @ X1) @ X2))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_45, c_0_29])).
% 101.20/15.00 thf(c_0_57, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ (esk9_1 @ X1))|(a0 @ X2)|~((irel @ X1 @ X2))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 101.20/15.00 thf(c_0_58, plain, ![X1:$i]:(((a1 @ X1)|~((b0 @ (esk6_1 @ X1)))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_46, c_0_29])).
% 101.20/15.00 thf(c_0_59, plain, ![X1:$i, X3:$i, X2:$i]:(((b0 @ X1)|(a0 @ X2)|~((irel @ (esk7_1 @ X2) @ X3))|~((irel @ X3 @ X1))|~((epred1_1 @ X2)))), inference(spm,[status(thm)],[c_0_47, c_0_30])).
% 101.20/15.00 thf(c_0_60, plain, ![X2:$i, X1:$i]:(((irel @ (esk7_1 @ X1) @ X2)|(a0 @ X1)|~((irel @ (esk8_1 @ X1) @ X2))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_48, c_0_29])).
% 101.20/15.00 thf(c_0_61, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ X1 @ X2)|(a1 @ X3)|~((irel @ (esk5_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_49])).
% 101.20/15.00 thf(c_0_62, plain, ![X2:$i, X1:$i]:(((irel @ (esk5_1 @ X1) @ X2)|(a1 @ X1)|~((irel @ (esk6_1 @ X1) @ X2))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_50, c_0_29])).
% 101.20/15.00 thf(c_0_63, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ (esk7_1 @ X1))|(a0 @ X2)|~((irel @ X1 @ X2))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 101.20/15.00 thf(c_0_64, negated_conjecture, ![X67:$i, X69:$i]:((((~(irel @ esk1_0 @ X69)|(epred2_1 @ X69)|(~(irel @ esk1_0 @ X67)|(epred1_1 @ X67)))&(((irel @ esk1_0 @ esk3_0)|(~(irel @ esk1_0 @ X67)|(epred1_1 @ X67)))&(~(f @ esk3_0)|(~(irel @ esk1_0 @ X67)|(epred1_1 @ X67)))))&(((~(irel @ esk1_0 @ X69)|(epred2_1 @ X69)|(irel @ esk1_0 @ esk2_0))&(((irel @ esk1_0 @ esk3_0)|(irel @ esk1_0 @ esk2_0))&(~(f @ esk3_0)|(irel @ esk1_0 @ esk2_0))))&((~(irel @ esk1_0 @ X69)|(epred2_1 @ X69)|~(f @ esk2_0))&(((irel @ esk1_0 @ esk3_0)|~(f @ esk2_0))&(~(f @ esk3_0)|~(f @ esk2_0))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])])])])).
% 101.20/15.00 thf(c_0_65, plain, ![X3:$i, X2:$i, X1:$i]:(((a0 @ X1)|(a1 @ X2)|~((irel @ (esk9_1 @ X1) @ X3))|~((irel @ X3 @ (esk12_1 @ X2)))|~((epred2_1 @ X2))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_52, c_0_53])).
% 101.20/15.00 thf(c_0_66, plain, ![X1:$i]:(((irel @ (esk9_1 @ X1) @ (esk10_1 @ X1))|(a0 @ X1)|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_54, c_0_29])).
% 101.20/15.00 thf(c_0_67, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ X2)|(a1 @ X1)|~((irel @ (esk11_1 @ X1) @ X2))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_55, c_0_29])).
% 101.20/15.00 thf(c_0_68, plain, ![X1:$i]:(((irel @ (esk11_1 @ X1) @ (esk12_1 @ X1))|(a1 @ X1)|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_56, c_0_29])).
% 101.20/15.00 thf(c_0_69, plain, ![X2:$i, X1:$i]:(((a0 @ X2)|~((a1 @ (esk10_1 @ X1)))|~((irel @ X1 @ X2))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 101.20/15.00 thf(c_0_70, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ X1 @ X2)|(a0 @ X3)|~((irel @ (esk9_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_57])).
% 101.20/15.00 thf(c_0_71, plain, ![X3:$i, X2:$i, X1:$i]:(((a0 @ X1)|(a1 @ X2)|~((irel @ (esk7_1 @ X1) @ X3))|~((irel @ X3 @ (esk6_1 @ X2)))|~((epred1_1 @ X2))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 101.20/15.00 thf(c_0_72, plain, ![X1:$i]:(((irel @ (esk7_1 @ X1) @ (esk8_1 @ X1))|(a0 @ X1)|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_60, c_0_29])).
% 101.20/15.00 thf(c_0_73, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ X2)|(a1 @ X1)|~((irel @ (esk5_1 @ X1) @ X2))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_61, c_0_29])).
% 101.20/15.00 thf(c_0_74, plain, ![X1:$i]:(((irel @ (esk5_1 @ X1) @ (esk6_1 @ X1))|(a1 @ X1)|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_62, c_0_29])).
% 101.20/15.00 thf(c_0_75, plain, ![X2:$i, X1:$i]:(((a0 @ X2)|~((a1 @ (esk8_1 @ X1)))|~((irel @ X1 @ X2))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 101.20/15.00 thf(c_0_76, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ X1 @ X2)|(a0 @ X3)|~((irel @ (esk7_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_63])).
% 101.20/15.00 thf(c_0_77, plain, ![X2:$i, X1:$i]:(((f @ X2)|~((a0 @ (esk13_1 @ X1)))|~((irel @ X1 @ X2))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 101.20/15.00 thf(c_0_78, negated_conjecture, ((irel @ esk1_0 @ esk3_0)|(irel @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_64])).
% 101.20/15.00 thf(c_0_79, plain, ![X1:$i, X2:$i]:(((a1 @ X1)|(a0 @ X2)|~((irel @ (esk10_1 @ X2) @ (esk12_1 @ X1)))|~((epred2_1 @ X1))|~((epred2_1 @ X2)))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
% 101.20/15.00 thf(c_0_80, plain, ![X1:$i]:(((irel @ X1 @ (esk12_1 @ X1))|(a1 @ X1)|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 101.20/15.00 thf(c_0_81, plain, ![X1:$i]:(((a0 @ X1)|~((a1 @ (esk10_1 @ X1)))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_69, c_0_29])).
% 101.20/15.00 thf(c_0_82, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ X2)|(a0 @ X1)|~((irel @ (esk9_1 @ X1) @ X2))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_70, c_0_29])).
% 101.20/15.00 thf(c_0_83, plain, ![X1:$i, X2:$i]:(((a1 @ X1)|(a0 @ X2)|~((irel @ (esk8_1 @ X2) @ (esk6_1 @ X1)))|~((epred1_1 @ X1))|~((epred1_1 @ X2)))), inference(spm,[status(thm)],[c_0_71, c_0_72])).
% 101.20/15.00 thf(c_0_84, plain, ![X1:$i]:(((irel @ X1 @ (esk6_1 @ X1))|(a1 @ X1)|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
% 101.20/15.00 thf(c_0_85, plain, ![X1:$i]:(((a0 @ X1)|~((a1 @ (esk8_1 @ X1)))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_75, c_0_29])).
% 101.20/15.00 thf(c_0_86, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ X2)|(a0 @ X1)|~((irel @ (esk7_1 @ X1) @ X2))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_76, c_0_29])).
% 101.20/15.00 thf(c_0_87, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ (esk4_1 @ X1))|(f @ X2)|~((irel @ X1 @ X2))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 101.20/15.00 thf(c_0_88, plain, ![X1:$i, X3:$i, X2:$i]:(((f @ X1)|~((a0 @ (esk13_1 @ X2)))|~((irel @ X3 @ X1))|~((irel @ X2 @ X3))|~((epred2_1 @ X2)))), inference(spm,[status(thm)],[c_0_77, c_0_30])).
% 101.20/15.00 thf(c_0_89, negated_conjecture, ![X1:$i]:(((irel @ esk1_0 @ esk2_0)|(irel @ X1 @ esk3_0)|~((irel @ X1 @ esk1_0)))), inference(spm,[status(thm)],[c_0_30, c_0_78])).
% 101.20/15.00 thf(c_0_90, negated_conjecture, ((irel @ esk1_0 @ esk2_0)|~((f @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_64])).
% 101.20/15.00 thf(c_0_91, plain, ![X1:$i]:(((a0 @ X1)|~((epred2_1 @ (esk10_1 @ X1)))|~((epred2_1 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_81])).
% 101.20/15.01 thf(c_0_92, negated_conjecture, ![X1:$i]:(((epred2_1 @ X1)|(irel @ esk1_0 @ esk2_0)|~((irel @ esk1_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_64])).
% 101.20/15.01 thf(c_0_93, plain, ![X1:$i]:(((irel @ X1 @ (esk10_1 @ X1))|(a0 @ X1)|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_82, c_0_66])).
% 101.20/15.01 thf(c_0_94, plain, ![X1:$i]:(((a0 @ X1)|~((epred1_1 @ (esk8_1 @ X1)))|~((epred1_1 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_85])).
% 101.20/15.01 thf(c_0_95, negated_conjecture, ![X1:$i]:(((irel @ esk1_0 @ esk3_0)|(epred1_1 @ X1)|~((irel @ esk1_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_64])).
% 101.20/15.01 thf(c_0_96, plain, ![X1:$i]:(((irel @ X1 @ (esk8_1 @ X1))|(a0 @ X1)|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_86, c_0_72])).
% 101.20/15.01 thf(c_0_97, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ X1 @ X2)|(f @ X3)|~((irel @ (esk4_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_87])).
% 101.20/15.01 thf(c_0_98, negated_conjecture, ![X2:$i, X1:$i]:(((irel @ esk1_0 @ esk2_0)|~((a0 @ (esk13_1 @ X1)))|~((irel @ X2 @ esk1_0))|~((irel @ X1 @ X2))|~((epred2_1 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90])).
% 101.20/15.01 thf(c_0_99, negated_conjecture, ![X1:$i]:(((irel @ esk1_0 @ esk2_0)|(a0 @ X1)|~((irel @ esk1_0 @ (esk10_1 @ X1)))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_91, c_0_92])).
% 101.20/15.01 thf(c_0_100, plain, ![X1:$i, X2:$i]:(((irel @ X1 @ (esk10_1 @ X2))|(a0 @ X2)|~((irel @ X1 @ X2))|~((epred2_1 @ X2)))), inference(spm,[status(thm)],[c_0_30, c_0_93])).
% 101.20/15.01 thf(c_0_101, plain, ![X2:$i, X1:$i]:(((f @ X2)|~((a0 @ (esk4_1 @ X1)))|~((irel @ X1 @ X2))|~((epred1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 101.20/15.01 thf(c_0_102, negated_conjecture, ![X1:$i]:(((irel @ esk1_0 @ esk3_0)|(a0 @ X1)|~((irel @ esk1_0 @ (esk8_1 @ X1)))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_94, c_0_95])).
% 101.20/15.01 thf(c_0_103, plain, ![X1:$i, X2:$i]:(((irel @ X1 @ (esk8_1 @ X2))|(a0 @ X2)|~((irel @ X1 @ X2))|~((epred1_1 @ X2)))), inference(spm,[status(thm)],[c_0_30, c_0_96])).
% 101.20/15.01 thf(c_0_104, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ X2)|(f @ X1)|~((irel @ (esk4_1 @ X1) @ X2))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_97, c_0_29])).
% 101.20/15.01 thf(c_0_105, negated_conjecture, ![X1:$i, X2:$i]:(((epred2_1 @ X1)|(epred1_1 @ X2)|~((irel @ esk1_0 @ X1))|~((irel @ esk1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_64])).
% 101.20/15.01 thf(c_0_106, negated_conjecture, ![X1:$i]:(((irel @ esk1_0 @ esk2_0)|~((a0 @ (esk13_1 @ X1)))|~((irel @ X1 @ esk1_0))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_98, c_0_29])).
% 101.20/15.01 thf(c_0_107, plain, ![X1:$i]:(((irel @ esk1_0 @ esk2_0)|(a0 @ X1)|~((irel @ esk1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_92])).
% 101.20/15.01 thf(c_0_108, plain, ![X1:$i]:(((f @ X1)|~((a0 @ (esk4_1 @ X1)))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_101, c_0_29])).
% 101.20/15.01 thf(c_0_109, plain, ![X1:$i]:(((irel @ esk1_0 @ esk3_0)|(a0 @ X1)|~((irel @ esk1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_95])).
% 101.20/15.01 thf(c_0_110, plain, ![X1:$i]:(((irel @ X1 @ (esk4_1 @ X1))|(f @ X1)|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_104, c_0_29])).
% 101.20/15.01 thf(c_0_111, negated_conjecture, ![X1:$i, X2:$i]:(((epred2_1 @ X1)|(a0 @ X2)|~((irel @ esk1_0 @ (esk8_1 @ X2)))|~((irel @ esk1_0 @ X1))|~((epred1_1 @ X2)))), inference(spm,[status(thm)],[c_0_94, c_0_105])).
% 101.20/15.01 thf(c_0_112, negated_conjecture, ![X1:$i]:(((irel @ esk1_0 @ esk2_0)|~((irel @ esk1_0 @ (esk13_1 @ X1)))|~((irel @ X1 @ esk1_0))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_106, c_0_107])).
% 101.20/15.01 thf(c_0_113, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ (esk13_1 @ X1))|(f @ X2)|~((irel @ X1 @ X2))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 101.20/15.01 thf(c_0_114, plain, ![X1:$i]:(((irel @ esk1_0 @ esk3_0)|(f @ X1)|~((irel @ esk1_0 @ (esk4_1 @ X1)))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_108, c_0_109])).
% 101.20/15.01 thf(c_0_115, plain, ![X1:$i, X2:$i]:(((irel @ X1 @ (esk4_1 @ X2))|(f @ X2)|~((irel @ X1 @ X2))|~((epred1_1 @ X2)))), inference(spm,[status(thm)],[c_0_30, c_0_110])).
% 101.20/15.01 thf(c_0_116, plain, ![X2:$i, X1:$i]:(((a0 @ X1)|(epred2_1 @ X2)|~((irel @ esk1_0 @ X2))|~((irel @ esk1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_103]), c_0_105])).
% 101.20/15.01 thf(c_0_117, plain, ![X1:$i]:(((irel @ esk1_0 @ esk2_0)|(f @ X1)|~((irel @ esk1_0 @ X1))|~((epred2_1 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_29])])).
% 101.20/15.01 thf(c_0_118, negated_conjecture, ((irel @ esk1_0 @ esk3_0)|~((f @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_64])).
% 101.20/15.01 thf(c_0_119, plain, ![X1:$i]:(((irel @ esk1_0 @ esk3_0)|(f @ X1)|~((irel @ esk1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_115]), c_0_95])).
% 101.20/15.01 thf(c_0_120, plain, ![X1:$i, X2:$i]:(((epred2_1 @ X1)|(f @ X2)|~((irel @ esk1_0 @ (esk4_1 @ X2)))|~((irel @ esk1_0 @ X1))|~((epred1_1 @ X2)))), inference(spm,[status(thm)],[c_0_108, c_0_116])).
% 101.20/15.01 thf(c_0_121, negated_conjecture, ![X1:$i]:(((irel @ esk1_0 @ esk2_0)|(f @ X1)|~((irel @ esk1_0 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_92]), c_0_29])])).
% 101.20/15.01 thf(c_0_122, negated_conjecture, (irel @ esk1_0 @ esk3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_119]), c_0_78])).
% 101.20/15.01 thf(c_0_123, negated_conjecture, (~((f @ esk3_0))|~((f @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_64])).
% 101.20/15.01 thf(c_0_124, plain, ![X2:$i, X1:$i]:(((f @ X1)|(epred2_1 @ X2)|~((irel @ esk1_0 @ X2))|~((irel @ esk1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_115]), c_0_105])).
% 101.20/15.01 thf(c_0_125, negated_conjecture, (irel @ esk1_0 @ esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_121]), c_0_122])])).
% 101.20/15.01 thf(c_0_126, negated_conjecture, ![X1:$i]:(((epred2_1 @ X1)|~((irel @ esk1_0 @ X1))|~((f @ esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_125])])).
% 101.20/15.01 thf(c_0_127, plain, ![X3:$i, X2:$i, X1:$i]:(((irel @ X1 @ X2)|(f @ X3)|~((irel @ (esk13_1 @ X1) @ X2))|~((irel @ X1 @ X3))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_113])).
% 101.20/15.01 thf(c_0_128, plain, ![X1:$i]:(((epred2_1 @ X1)|~((irel @ esk1_0 @ X1)))), inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_124]), c_0_122])])])).
% 101.20/15.01 thf(c_0_129, negated_conjecture, ![X1:$i]:(((irel @ X1 @ esk3_0)|~((irel @ X1 @ esk1_0)))), inference(spm,[status(thm)],[c_0_30, c_0_122])).
% 101.20/15.01 thf(c_0_130, plain, ![X2:$i, X1:$i]:(((irel @ X1 @ X2)|(f @ X1)|~((irel @ (esk13_1 @ X1) @ X2))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_127, c_0_29])).
% 101.20/15.01 thf(c_0_131, plain, ![X1:$i]:(((a0 @ X1)|~((irel @ esk1_0 @ (esk10_1 @ X1)))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_91, c_0_128])).
% 101.20/15.01 thf(c_0_132, negated_conjecture, ![X2:$i, X1:$i]:(((irel @ X1 @ X2)|~((irel @ esk3_0 @ X2))|~((irel @ X1 @ esk1_0)))), inference(spm,[status(thm)],[c_0_30, c_0_129])).
% 101.20/15.01 thf(c_0_133, plain, ![X1:$i]:(((irel @ X1 @ (esk13_1 @ X1))|(f @ X1)|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_130, c_0_29])).
% 101.20/15.01 thf(c_0_134, plain, ![X1:$i]:(((f @ X1)|~((a0 @ (esk13_1 @ X1)))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_77, c_0_29])).
% 101.20/15.01 thf(c_0_135, plain, ![X1:$i]:(((a0 @ X1)|~((irel @ esk1_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_100]), c_0_128])).
% 101.20/15.01 thf(c_0_136, plain, ![X1:$i]:(((irel @ X1 @ (esk13_1 @ esk3_0))|(f @ esk3_0)|~((irel @ X1 @ esk1_0))|~((epred2_1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_132, c_0_133])).
% 101.20/15.01 thf(c_0_137, negated_conjecture, ![X1:$i]:(((irel @ X1 @ esk2_0)|~((irel @ X1 @ esk1_0)))), inference(spm,[status(thm)],[c_0_30, c_0_125])).
% 101.20/15.01 thf(c_0_138, plain, ![X1:$i]:(((f @ X1)|~((irel @ esk1_0 @ (esk13_1 @ X1)))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_134, c_0_135])).
% 101.20/15.01 thf(c_0_139, plain, ![X1:$i]:(((irel @ X1 @ (esk13_1 @ esk3_0))|(f @ esk3_0)|~((irel @ X1 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_128]), c_0_122])])).
% 101.20/15.01 thf(c_0_140, negated_conjecture, ![X2:$i, X1:$i]:(((irel @ X1 @ X2)|~((irel @ esk2_0 @ X2))|~((irel @ X1 @ esk1_0)))), inference(spm,[status(thm)],[c_0_30, c_0_137])).
% 101.20/15.01 thf(c_0_141, plain, ((f @ esk3_0)|~((epred2_1 @ esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_139]), c_0_29])])).
% 101.20/15.01 thf(c_0_142, plain, ![X1:$i]:(((irel @ X1 @ (esk13_1 @ esk2_0))|(f @ esk2_0)|~((irel @ X1 @ esk1_0))|~((epred2_1 @ esk2_0)))), inference(spm,[status(thm)],[c_0_140, c_0_133])).
% 101.20/15.01 thf(c_0_143, plain, (f @ esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_128]), c_0_122])])).
% 101.20/15.01 thf(c_0_144, plain, ![X1:$i]:(((irel @ X1 @ (esk13_1 @ esk2_0))|(f @ esk2_0)|~((irel @ X1 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_128]), c_0_125])])).
% 101.20/15.01 thf(c_0_145, negated_conjecture, ~((f @ esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123, c_0_143])])).
% 101.20/15.01 thf(c_0_146, plain, ~((epred2_1 @ esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_144]), c_0_29])]), c_0_145])).
% 101.20/15.01 thf(c_0_147, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_128]), c_0_125])]), ['proof']).
% 101.20/15.01 % SZS output end CNFRefutation
% 101.20/15.01 % Parsed axioms : 47
% 101.20/15.01 % Removed by relevancy pruning/SinE : 0
% 101.20/15.01 % Initial clauses : 56
% 101.20/15.01 % Removed in clause preprocessing : 25
% 101.20/15.01 % Initial clauses in saturation : 31
% 101.20/15.01 % Processed clauses : 4049
% 101.20/15.01 % ...of these trivial : 0
% 101.20/15.01 % ...subsumed : 2433
% 101.20/15.01 % ...remaining for further processing : 1616
% 101.20/15.01 % Other redundant clauses eliminated : 0
% 101.20/15.01 % Clauses deleted for lack of memory : 0
% 101.20/15.01 % Backward-subsumed : 453
% 101.20/15.01 % Backward-rewritten : 213
% 101.20/15.01 % Generated clauses : 202762
% 101.20/15.01 % ...of the previous two non-redundant : 202672
% 101.20/15.01 % ...aggressively subsumed : 0
% 101.20/15.01 % Contextual simplify-reflections : 165
% 101.20/15.01 % Paramodulations : 202758
% 101.20/15.01 % Factorizations : 4
% 101.20/15.01 % NegExts : 0
% 101.20/15.01 % Equation resolutions : 0
% 101.20/15.01 % Disequality decompositions : 0
% 101.20/15.01 % Total rewrite steps : 531
% 101.20/15.01 % ...of those cached : 524
% 101.20/15.01 % Propositional unsat checks : 0
% 101.20/15.01 % Propositional check models : 0
% 101.20/15.01 % Propositional check unsatisfiable : 0
% 101.20/15.01 % Propositional clauses : 0
% 101.20/15.01 % Propositional clauses after purity: 0
% 101.20/15.01 % Propositional unsat core size : 0
% 101.20/15.01 % Propositional preprocessing time : 0.000
% 101.20/15.01 % Propositional encoding time : 0.000
% 101.20/15.01 % Propositional solver time : 0.000
% 101.20/15.01 % Success case prop preproc time : 0.000
% 101.20/15.01 % Success case prop encoding time : 0.000
% 101.20/15.01 % Success case prop solver time : 0.000
% 101.20/15.01 % Current number of processed clauses : 950
% 101.20/15.01 % Positive orientable unit clauses : 5
% 101.20/15.01 % Positive unorientable unit clauses: 0
% 101.20/15.01 % Negative unit clauses : 2
% 101.20/15.01 % Non-unit-clauses : 943
% 101.20/15.01 % Current number of unprocessed clauses: 198221
% 101.20/15.01 % ...number of literals in the above : 1666924
% 101.20/15.01 % Current number of archived formulas : 0
% 101.20/15.01 % Current number of archived clauses : 666
% 101.20/15.01 % Clause-clause subsumption calls (NU) : 182118
% 101.20/15.01 % Rec. Clause-clause subsumption calls : 29045
% 101.20/15.01 % Non-unit clause-clause subsumptions : 3087
% 101.20/15.01 % Unit Clause-clause subsumption calls : 1143
% 101.20/15.01 % Rewrite failures with RHS unbound : 0
% 101.20/15.01 % BW rewrite match attempts : 7
% 101.20/15.01 % BW rewrite match successes : 4
% 101.20/15.01 % Condensation attempts : 4049
% 101.20/15.01 % Condensation successes : 61
% 101.20/15.01 % Termbank termtop insertions : 22474258
% 101.20/15.01 % Search garbage collected termcells : 1622
% 101.20/15.01
% 101.20/15.01 % -------------------------------------------------
% 101.20/15.01 % User time : 14.189 s
% 101.20/15.01 % System time : 0.264 s
% 101.20/15.01 % Total time : 14.454 s
% 101.20/15.01 % Maximum resident set size: 3924 pages
% 101.20/15.01
% 101.20/15.01 % -------------------------------------------------
% 101.20/15.01 % User time : 70.626 s
% 101.20/15.01 % System time : 1.793 s
% 101.20/15.01 % Total time : 72.419 s
% 101.20/15.01 % Maximum resident set size: 4864 pages
% 101.20/15.01 % E exiting
%------------------------------------------------------------------------------