%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU823^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 08:25:47 AM UTC 2026
% Result : Theorem 3.65s 0.87s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU823^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:30:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.hDrGwnW7Pi/E---3.1_418719.p
% 3.65/0.87 % Version: 3.5.1-ho
% 3.65/0.87 % Preprocessing class: HSSSSLSSSLSNSFN.
% 3.65/0.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.65/0.87 % Starting new_ho_10 with 1500s (5) cores
% 3.65/0.87 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 3.65/0.87 % Starting lpo1_def_fix with 300s (1) cores
% 3.65/0.87 % Starting ehoh_best8_lambda with 300s (1) cores
% 3.65/0.87 % new_ho_10 with pid 418732 completed with status 0
% 3.65/0.87 % Result found by new_ho_10
% 3.65/0.87 % Preprocessing class: HSSSSLSSSLSNSFN.
% 3.65/0.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.65/0.87 % Starting new_ho_10 with 1500s (5) cores
% 3.65/0.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.65/0.87 % No SInE strategy applied
% 3.65/0.87 % Search class: HGHSF-FFMS21-SSFFMFNN
% 3.65/0.87 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.65/0.87 % Starting SubtermCWHack with 151s (1) cores
% 3.65/0.87 % Starting new_ho_10 with 901s (1) cores
% 3.65/0.87 % Starting ehoh_best_sine_rwall with 151s (1) cores
% 3.65/0.87 % Starting lpo1_def_fix with 151s (1) cores
% 3.65/0.87 % Starting sh4l with 146s (1) cores
% 3.65/0.87 % sh4l with pid 418743 completed with status 0
% 3.65/0.87 % Result found by sh4l
% 3.65/0.87 % Preprocessing class: HSSSSLSSSLSNSFN.
% 3.65/0.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.65/0.87 % Starting new_ho_10 with 1500s (5) cores
% 3.65/0.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.65/0.87 % No SInE strategy applied
% 3.65/0.87 % Search class: HGHSF-FFMS21-SSFFMFNN
% 3.65/0.87 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.65/0.87 % Starting SubtermCWHack with 151s (1) cores
% 3.65/0.87 % Starting new_ho_10 with 901s (1) cores
% 3.65/0.87 % Starting ehoh_best_sine_rwall with 151s (1) cores
% 3.65/0.87 % Starting lpo1_def_fix with 151s (1) cores
% 3.65/0.87 % Starting sh4l with 146s (1) cores
% 3.65/0.87 % Preprocessing time : 0.003 s
% 3.65/0.87
% 3.65/0.87 % Proof found!
% 3.65/0.87 % SZS status Theorem
% 3.65/0.87 % SZS output start CNFRefutation
% 3.65/0.87 thf(decl_23, type, in: $i > $i > $o).
% 3.65/0.87 thf(decl_24, type, powerset: $i > $i).
% 3.65/0.87 thf(decl_25, type, nonempty: $i > $o).
% 3.65/0.87 thf(decl_26, type, transitiveset: $i > $o).
% 3.65/0.87 thf(decl_27, type, stricttotalorderedByIn: $i > $o).
% 3.65/0.87 thf(decl_28, type, wellorderedByIn: $i > $o).
% 3.65/0.87 thf(decl_29, type, ordinal: $i > $o).
% 3.65/0.87 thf(decl_30, type, ordinalTransSet: $o).
% 3.65/0.87 thf(decl_31, type, ordinalIrrefl: $o).
% 3.65/0.87 thf(decl_32, type, epred1_1: $i > $o).
% 3.65/0.87 thf(decl_33, type, epred2_1: $i > $o).
% 3.65/0.87 thf(decl_34, type, epred3_1: $i > $o).
% 3.65/0.87 thf(decl_35, type, esk1_1: $i > $i).
% 3.65/0.87 thf(decl_36, type, esk2_1: $i > $i).
% 3.65/0.87 thf(decl_37, type, esk3_2: $i > $i > $i).
% 3.65/0.87 thf(decl_38, type, esk4_1: $i > $i).
% 3.65/0.87 thf(decl_39, type, esk5_1: $i > $i).
% 3.65/0.87 thf(decl_40, type, esk6_2: $i > $i > $i).
% 3.65/0.87 thf(decl_41, type, esk7_0: $i).
% 3.65/0.87 thf(decl_42, type, esk8_0: $i).
% 3.65/0.87 thf(decl_43, type, esk9_1: $i > $i).
% 3.65/0.87 thf(decl_44, type, esk10_1: $i > $i).
% 3.65/0.87 thf(decl_45, type, esk11_1: $i > $i).
% 3.65/0.87 thf(decl_46, type, esk12_1: $i > $i).
% 3.65/0.87 thf(decl_47, type, esk13_1: $i > $i).
% 3.65/0.87 thf(decl_53, type, esk19_2: $i > $i > $i).
% 3.65/0.87 thf(wellorderedByIn, axiom, ((wellorderedByIn)=(^[X1:$i]:((((stricttotalorderedByIn @ X1))&(![X3:$i]:((((in @ X3 @ (powerset @ X1)))=>((((nonempty @ X3))=>(?[X2:$i]:((((in @ X2 @ X3))&(![X4:$i]:((((in @ X4 @ X3))=>(((((X2)=(X4)))|((in @ X2 @ X4))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.hDrGwnW7Pi/E---3.1_418719.p', wellorderedByIn)).
% 3.65/0.87 thf(stricttotalorderedByIn, axiom, ((stricttotalorderedByIn)=(^[X1:$i]:(((((![X2:$i]:((((in @ X2 @ X1))=>(![X3:$i]:((((in @ X3 @ X1))=>(![X4:$i]:((((in @ X4 @ X1))=>((((((in @ X2 @ X3))&((in @ X3 @ X4))))=>((in @ X2 @ X4)))))))))))))&(![X3:$i]:((((in @ X3 @ X1))=>(![X4:$i]:((((in @ X4 @ X1))=>(((((((X3)=(X4)))|((in @ X3 @ X4))))|((in @ X4 @ X3))))))))))))&(![X3:$i]:((((in @ X3 @ X1))=>(~((in @ X3 @ X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.hDrGwnW7Pi/E---3.1_418719.p', stricttotalorderedByIn)).
% 3.65/0.87 thf(ordinal, axiom, ((ordinal)=(^[X2:$i]:((((transitiveset @ X2))&((wellorderedByIn @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.hDrGwnW7Pi/E---3.1_418719.p', ordinal)).
% 3.65/0.87 thf(ordinalNoCycle, conjecture, ((ordinalTransSet)=>((ordinalIrrefl)=>![X3:$i]:(((ordinal @ X3)=>![X1:$i]:(((in @ X3 @ X1)=>~((in @ X1 @ X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.hDrGwnW7Pi/E---3.1_418719.p', ordinalNoCycle)).
% 3.65/0.87 thf(ordinalTransSet, axiom, ((ordinalTransSet)<=>![X3:$i]:(((ordinal @ X3)=>![X2:$i, X1:$i]:(((in @ X1 @ X3)=>((in @ X2 @ X1)=>(in @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.hDrGwnW7Pi/E---3.1_418719.p', ordinalTransSet)).
% 3.65/0.87 thf(ordinalIrrefl, axiom, ((ordinalIrrefl)<=>![X3:$i]:(((ordinal @ X3)=>![X1:$i]:(((in @ X1 @ X3)=>~((in @ X1 @ X1))))))), file('/export/starexec/sandbox2/tmp/tmp.hDrGwnW7Pi/E---3.1_418719.p', ordinalIrrefl)).
% 3.65/0.87 thf(c_0_6, plain, ![X3:$i]:(((epred3_1 @ X3)<=>((transitiveset @ X3)&(((![X68:$i]:(((in @ X68 @ X3)=>![X69:$i]:(((in @ X69 @ X3)=>![X70:$i]:(((in @ X70 @ X3)=>(((in @ X68 @ X69)&(in @ X69 @ X70))=>(in @ X68 @ X70))))))))&![X71:$i]:(((in @ X71 @ X3)=>![X72:$i]:(((in @ X72 @ X3)=>(((X71)=(X72))|(in @ X71 @ X72)|(in @ X72 @ X71)))))))&![X73:$i]:(((in @ X73 @ X3)=>~(in @ X73 @ X73))))&![X74:$i]:(((in @ X74 @ (powerset @ X3))=>((nonempty @ X74)=>?[X75:$i]:(((in @ X75 @ X74)&![X76:$i]:(((in @ X76 @ X74)=>(((X75)=(X76))|(in @ X75 @ X76))))))))))))), introduced(definition)).
% 3.65/0.87 thf(c_0_7, plain, ![X45:$i]:(((epred1_1 @ X45)<=>(![X46:$i]:(((in @ X46 @ X45)=>![X47:$i]:(((in @ X47 @ X45)=>![X48:$i]:(((in @ X48 @ X45)=>(((in @ X46 @ X47)&(in @ X47 @ X48))=>(in @ X46 @ X48))))))))&![X49:$i]:(((in @ X49 @ X45)=>![X50:$i]:(((in @ X50 @ X45)=>(((X49)=(X50))|(in @ X49 @ X50)|(in @ X50 @ X49))))))))), introduced(definition)).
% 3.65/0.87 thf(c_0_8, plain, ((wellorderedByIn)=(^[Z0:$i]:((((((((![X12:$i]:((((in @ X12 @ Z0))=>(![X13:$i]:((((in @ X13 @ Z0))=>(![X14:$i]:((((in @ X14 @ Z0))=>((((((in @ X12 @ X13))&((in @ X13 @ X14))))=>((in @ X12 @ X14)))))))))))))&(![X15:$i]:((((in @ X15 @ Z0))=>(![X16:$i]:((((in @ X16 @ Z0))=>(((((((X15)=(X16)))|((in @ X15 @ X16))))|((in @ X16 @ X15))))))))))))&(![X17:$i]:((((in @ X17 @ Z0))=>(~((in @ X17 @ X17)))))))))&(![X3:$i]:((((in @ X3 @ (powerset @ Z0)))=>((((nonempty @ X3))=>(?[X2:$i]:((((in @ X2 @ X3))&(![X4:$i]:((((in @ X4 @ X3))=>(((((X2)=(X4)))|((in @ X2 @ X4))))))))))))))))))), inference(fof_simplification,[status(thm)],[wellorderedByIn])).
% 3.65/0.87 thf(c_0_9, plain, ((stricttotalorderedByIn)=(^[Z0:$i]:(((((![X2:$i]:((((in @ X2 @ Z0))=>(![X3:$i]:((((in @ X3 @ Z0))=>(![X4:$i]:((((in @ X4 @ Z0))=>((((((in @ X2 @ X3))&((in @ X3 @ X4))))=>((in @ X2 @ X4)))))))))))))&(![X3:$i]:((((in @ X3 @ Z0))=>(![X4:$i]:((((in @ X4 @ Z0))=>(((((((X3)=(X4)))|((in @ X3 @ X4))))|((in @ X4 @ X3))))))))))))&(![X3:$i]:((((in @ X3 @ Z0))=>(~((in @ X3 @ X3)))))))))), inference(fof_simplification,[status(thm)],[stricttotalorderedByIn])).
% 3.65/0.87 thf(c_0_10, plain, ![X3:$i]:(((epred3_1 @ X3)=>((transitiveset @ X3)&(((![X68:$i]:(((in @ X68 @ X3)=>![X69:$i]:(((in @ X69 @ X3)=>![X70:$i]:(((in @ X70 @ X3)=>(((in @ X68 @ X69)&(in @ X69 @ X70))=>(in @ X68 @ X70))))))))&![X71:$i]:(((in @ X71 @ X3)=>![X72:$i]:(((in @ X72 @ X3)=>(((X71)=(X72))|(in @ X71 @ X72)|(in @ X72 @ X71)))))))&![X73:$i]:(((in @ X73 @ X3)=>~(in @ X73 @ X73))))&![X74:$i]:(((in @ X74 @ (powerset @ X3))=>((nonempty @ X74)=>?[X75:$i]:(((in @ X75 @ X74)&![X76:$i]:(((in @ X76 @ X74)=>(((X75)=(X76))|(in @ X75 @ X76))))))))))))), inference(split_equiv,[status(thm)],[c_0_6])).
% 3.65/0.87 thf(c_0_11, plain, ![X45:$i]:(((![X46:$i]:(((in @ X46 @ X45)=>![X47:$i]:(((in @ X47 @ X45)=>![X48:$i]:(((in @ X48 @ X45)=>(((in @ X46 @ X47)&(in @ X47 @ X48))=>(in @ X46 @ X48))))))))&![X49:$i]:(((in @ X49 @ X45)=>![X50:$i]:(((in @ X50 @ X45)=>(((X49)=(X50))|(in @ X49 @ X50)|(in @ X50 @ X49)))))))=>(epred1_1 @ X45))), inference(split_equiv,[status(thm)],[c_0_7])).
% 3.65/0.87 thf(c_0_12, plain, ((ordinal)=(^[Z0:$i]:((((transitiveset @ Z0))&(((((((((![X18:$i]:((((in @ X18 @ Z0))=>(![X19:$i]:((((in @ X19 @ Z0))=>(![X20:$i]:((((in @ X20 @ Z0))=>((((((in @ X18 @ X19))&((in @ X19 @ X20))))=>((in @ X18 @ X20)))))))))))))&(![X21:$i]:((((in @ X21 @ Z0))=>(![X22:$i]:((((in @ X22 @ Z0))=>(((((((X21)=(X22)))|((in @ X21 @ X22))))|((in @ X22 @ X21))))))))))))&(![X23:$i]:((((in @ X23 @ Z0))=>(~((in @ X23 @ X23)))))))))&(![X24:$i]:((((in @ X24 @ (powerset @ Z0)))=>((((nonempty @ X24))=>(?[X25:$i]:((((in @ X25 @ X24))&(![X26:$i]:((((in @ X26 @ X24))=>(((((X25)=(X26)))|((in @ X25 @ X26)))))))))))))))))))))), inference(fof_simplification,[status(thm)],[ordinal])).
% 3.65/0.87 thf(c_0_13, plain, ((wellorderedByIn)=(^[Z0:$i]:((((((((![X12:$i]:((((in @ X12 @ Z0))=>(![X13:$i]:((((in @ X13 @ Z0))=>(![X14:$i]:((((in @ X14 @ Z0))=>((((((in @ X12 @ X13))&((in @ X13 @ X14))))=>((in @ X12 @ X14)))))))))))))&(![X15:$i]:((((in @ X15 @ Z0))=>(![X16:$i]:((((in @ X16 @ Z0))=>(((((((X15)=(X16)))|((in @ X15 @ X16))))|((in @ X16 @ X15))))))))))))&(![X17:$i]:((((in @ X17 @ Z0))=>(~((in @ X17 @ X17)))))))))&(![X3:$i]:((((in @ X3 @ (powerset @ Z0)))=>((((nonempty @ X3))=>(?[X2:$i]:((((in @ X2 @ X3))&(![X4:$i]:((((in @ X4 @ X3))=>(((((X2)=(X4)))|((in @ X2 @ X4))))))))))))))))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])).
% 3.65/0.87 thf(c_0_14, plain, ![X104:$i, X105:$i, X106:$i, X107:$i, X108:$i, X109:$i, X110:$i, X111:$i, X113:$i]:((((transitiveset @ X104)|~(epred3_1 @ X104))&((((~(in @ X105 @ X104)|(~(in @ X106 @ X104)|(~(in @ X107 @ X104)|(~(in @ X105 @ X106)|~(in @ X106 @ X107)|(in @ X105 @ X107))))|~(epred3_1 @ X104))&(~(in @ X108 @ X104)|(~(in @ X109 @ X104)|(((X108)=(X109))|(in @ X108 @ X109)|(in @ X109 @ X108)))|~(epred3_1 @ X104)))&(~(in @ X110 @ X104)|~(in @ X110 @ X110)|~(epred3_1 @ X104)))&(((in @ (esk19_2 @ X104 @ X111) @ X111)|~(nonempty @ X111)|~(in @ X111 @ (powerset @ X104))|~(epred3_1 @ X104))&(~(in @ X113 @ X111)|(((esk19_2 @ X104 @ X111)=(X113))|(in @ (esk19_2 @ X104 @ X111) @ X113))|~(nonempty @ X111)|~(in @ X111 @ (powerset @ X104))|~(epred3_1 @ X104)))))), 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_10])])])])])])).
% 3.65/0.87 thf(c_0_15, plain, ![X92:$i]:(((((in @ (esk12_1 @ X92) @ X92)|(in @ (esk9_1 @ X92) @ X92)|(epred1_1 @ X92))&(((in @ (esk13_1 @ X92) @ X92)|(in @ (esk9_1 @ X92) @ X92)|(epred1_1 @ X92))&(((((esk12_1 @ X92)!=(esk13_1 @ X92))|(in @ (esk9_1 @ X92) @ X92)|(epred1_1 @ X92))&(~(in @ (esk12_1 @ X92) @ (esk13_1 @ X92))|(in @ (esk9_1 @ X92) @ X92)|(epred1_1 @ X92)))&(~(in @ (esk13_1 @ X92) @ (esk12_1 @ X92))|(in @ (esk9_1 @ X92) @ X92)|(epred1_1 @ X92)))))&((((in @ (esk12_1 @ X92) @ X92)|(in @ (esk10_1 @ X92) @ X92)|(epred1_1 @ X92))&(((in @ (esk13_1 @ X92) @ X92)|(in @ (esk10_1 @ X92) @ X92)|(epred1_1 @ X92))&(((((esk12_1 @ X92)!=(esk13_1 @ X92))|(in @ (esk10_1 @ X92) @ X92)|(epred1_1 @ X92))&(~(in @ (esk12_1 @ X92) @ (esk13_1 @ X92))|(in @ (esk10_1 @ X92) @ X92)|(epred1_1 @ X92)))&(~(in @ (esk13_1 @ X92) @ (esk12_1 @ X92))|(in @ (esk10_1 @ X92) @ X92)|(epred1_1 @ X92)))))&((((in @ (esk12_1 @ X92) @ X92)|(in @ (esk11_1 @ X92) @ X92)|(epred1_1 @ X92))&(((in @ (esk13_1 @ X92) @ X92)|(in @ (esk11_1 @ X92) @ X92)|(epred1_1 @ X92))&(((((esk12_1 @ X92)!=(esk13_1 @ X92))|(in @ (esk11_1 @ X92) @ X92)|(epred1_1 @ X92))&(~(in @ (esk12_1 @ X92) @ (esk13_1 @ X92))|(in @ (esk11_1 @ X92) @ X92)|(epred1_1 @ X92)))&(~(in @ (esk13_1 @ X92) @ (esk12_1 @ X92))|(in @ (esk11_1 @ X92) @ X92)|(epred1_1 @ X92)))))&(((((in @ (esk12_1 @ X92) @ X92)|(in @ (esk9_1 @ X92) @ (esk10_1 @ X92))|(epred1_1 @ X92))&(((in @ (esk13_1 @ X92) @ X92)|(in @ (esk9_1 @ X92) @ (esk10_1 @ X92))|(epred1_1 @ X92))&(((((esk12_1 @ X92)!=(esk13_1 @ X92))|(in @ (esk9_1 @ X92) @ (esk10_1 @ X92))|(epred1_1 @ X92))&(~(in @ (esk12_1 @ X92) @ (esk13_1 @ X92))|(in @ (esk9_1 @ X92) @ (esk10_1 @ X92))|(epred1_1 @ X92)))&(~(in @ (esk13_1 @ X92) @ (esk12_1 @ X92))|(in @ (esk9_1 @ X92) @ (esk10_1 @ X92))|(epred1_1 @ X92)))))&(((in @ (esk12_1 @ X92) @ X92)|(in @ (esk10_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92))&(((in @ (esk13_1 @ X92) @ X92)|(in @ (esk10_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92))&(((((esk12_1 @ X92)!=(esk13_1 @ X92))|(in @ (esk10_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92))&(~(in @ (esk12_1 @ X92) @ (esk13_1 @ X92))|(in @ (esk10_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92)))&(~(in @ (esk13_1 @ X92) @ (esk12_1 @ X92))|(in @ (esk10_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92))))))&(((in @ (esk12_1 @ X92) @ X92)|~(in @ (esk9_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92))&(((in @ (esk13_1 @ X92) @ X92)|~(in @ (esk9_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92))&(((((esk12_1 @ X92)!=(esk13_1 @ X92))|~(in @ (esk9_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92))&(~(in @ (esk12_1 @ X92) @ (esk13_1 @ X92))|~(in @ (esk9_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92)))&(~(in @ (esk13_1 @ X92) @ (esk12_1 @ X92))|~(in @ (esk9_1 @ X92) @ (esk11_1 @ X92))|(epred1_1 @ X92)))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])).
% 3.65/0.87 thf(c_0_16, plain, ((ordinal)=(^[Z0:$i]:((((transitiveset @ Z0))&(((((((((![X18:$i]:((((in @ X18 @ Z0))=>(![X19:$i]:((((in @ X19 @ Z0))=>(![X20:$i]:((((in @ X20 @ Z0))=>((((((in @ X18 @ X19))&((in @ X19 @ X20))))=>((in @ X18 @ X20)))))))))))))&(![X21:$i]:((((in @ X21 @ Z0))=>(![X22:$i]:((((in @ X22 @ Z0))=>(((((((X21)=(X22)))|((in @ X21 @ X22))))|((in @ X22 @ X21))))))))))))&(![X23:$i]:((((in @ X23 @ Z0))=>(~((in @ X23 @ X23)))))))))&(![X24:$i]:((((in @ X24 @ (powerset @ Z0)))=>((((nonempty @ X24))=>(?[X25:$i]:((((in @ X25 @ X24))&(![X26:$i]:((((in @ X26 @ X24))=>(((((X25)=(X26)))|((in @ X25 @ X26)))))))))))))))))))))), inference(apply_def,[status(thm)],[c_0_12, c_0_13])).
% 3.65/0.87 thf(c_0_17, plain, ![X1:$i, X4:$i, X3:$i, X2:$i]:(((in @ X1 @ X4)|~((in @ X1 @ X2))|~((in @ X3 @ X2))|~((in @ X4 @ X2))|~((in @ X1 @ X3))|~((in @ X3 @ X4))|~((epred3_1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 3.65/0.87 thf(c_0_18, plain, ![X1:$i]:(((in @ (esk12_1 @ X1) @ X1)|(in @ (esk11_1 @ X1) @ X1)|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_19, negated_conjecture, ~(((ordinalTransSet)=>((ordinalIrrefl)=>![X3:$i]:(((ordinal @ X3)=>![X1:$i]:(((in @ X3 @ X1)=>~((in @ X1 @ X3))))))))), inference(assume_negation,[status(cth)],[ordinalNoCycle])).
% 3.65/0.87 thf(c_0_20, axiom, ((ordinalTransSet)=(![X3:$i]:(((((((transitiveset @ X3))&(((((((((![X27:$i]:((((in @ X27 @ X3))=>(![X28:$i]:((((in @ X28 @ X3))=>(![X29:$i]:((((in @ X29 @ X3))=>((((((in @ X27 @ X28))&((in @ X28 @ X29))))=>((in @ X27 @ X29)))))))))))))&(![X30:$i]:((((in @ X30 @ X3))=>(![X31:$i]:((((in @ X31 @ X3))=>(((((((X30)=(X31)))|((in @ X30 @ X31))))|((in @ X31 @ X30))))))))))))&(![X32:$i]:((((in @ X32 @ X3))=>(~((in @ X32 @ X32)))))))))&(![X33:$i]:((((in @ X33 @ (powerset @ X3)))=>((((nonempty @ X33))=>(?[X34:$i]:((((in @ X34 @ X33))&(![X35:$i]:((((in @ X35 @ X33))=>(((((X34)=(X35)))|((in @ X34 @ X35)))))))))))))))))))))=>(![X2:$i, X1:$i]:((((in @ X1 @ X3))=>((((in @ X2 @ X1))=>((in @ X2 @ X3))))))))))), inference(apply_def,[status(thm)],[ordinalTransSet, c_0_16])).
% 3.65/0.87 thf(c_0_21, axiom, ((ordinalIrrefl)=(![X3:$i]:(((((((transitiveset @ X3))&(((((((((![X36:$i]:((((in @ X36 @ X3))=>(![X37:$i]:((((in @ X37 @ X3))=>(![X38:$i]:((((in @ X38 @ X3))=>((((((in @ X36 @ X37))&((in @ X37 @ X38))))=>((in @ X36 @ X38)))))))))))))&(![X39:$i]:((((in @ X39 @ X3))=>(![X40:$i]:((((in @ X40 @ X3))=>(((((((X39)=(X40)))|((in @ X39 @ X40))))|((in @ X40 @ X39))))))))))))&(![X41:$i]:((((in @ X41 @ X3))=>(~((in @ X41 @ X41)))))))))&(![X42:$i]:((((in @ X42 @ (powerset @ X3)))=>((((nonempty @ X42))=>(?[X43:$i]:((((in @ X43 @ X42))&(![X44:$i]:((((in @ X44 @ X42))=>(((((X43)=(X44)))|((in @ X43 @ X44)))))))))))))))))))))=>(![X1:$i]:((((in @ X1 @ X3))=>(~((in @ X1 @ X1)))))))))), inference(apply_def,[status(thm)],[ordinalIrrefl, c_0_16])).
% 3.65/0.87 thf(c_0_22, plain, ![X57:$i]:(((epred2_1 @ X57)<=>(![X58:$i]:(((in @ X58 @ X57)=>![X59:$i]:(((in @ X59 @ X57)=>![X60:$i]:(((in @ X60 @ X57)=>(((in @ X58 @ X59)&(in @ X59 @ X60))=>(in @ X58 @ X60))))))))&![X61:$i]:(((in @ X61 @ X57)=>![X62:$i]:(((in @ X62 @ X57)=>(((X61)=(X62))|(in @ X61 @ X62)|(in @ X62 @ X61))))))))), introduced(definition)).
% 3.65/0.87 thf(c_0_23, plain, ![X3:$i, X2:$i, X1:$i]:(((in @ (esk12_1 @ X1) @ X1)|(in @ X2 @ (esk11_1 @ X1))|(epred1_1 @ X1)|~((in @ X3 @ (esk11_1 @ X1)))|~((in @ X3 @ X1))|~((in @ X2 @ X3))|~((in @ X2 @ X1))|~((epred3_1 @ X1)))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 3.65/0.87 thf(c_0_24, plain, ![X1:$i]:(((in @ (esk12_1 @ X1) @ X1)|(in @ (esk10_1 @ X1) @ (esk11_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_25, plain, ![X1:$i]:(((in @ (esk12_1 @ X1) @ X1)|(in @ (esk10_1 @ X1) @ X1)|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_26, negated_conjecture, ~((![X45:$i]:((((transitiveset @ X45)&(((epred1_1 @ X45)&![X51:$i]:(((in @ X51 @ X45)=>~(in @ X51 @ X51))))&![X52:$i]:(((in @ X52 @ (powerset @ X45))=>((nonempty @ X52)=>?[X53:$i]:(((in @ X53 @ X52)&![X54:$i]:(((in @ X54 @ X52)=>(((X53)=(X54))|(in @ X53 @ X54)))))))))))=>![X55:$i, X56:$i]:(((in @ X56 @ X45)=>((in @ X55 @ X56)=>(in @ X55 @ X45))))))=>(![X57:$i]:((((transitiveset @ X57)&(((epred2_1 @ X57)&![X63:$i]:(((in @ X63 @ X57)=>~(in @ X63 @ X63))))&![X64:$i]:(((in @ X64 @ (powerset @ X57))=>((nonempty @ X64)=>?[X65:$i]:(((in @ X65 @ X64)&![X66:$i]:(((in @ X66 @ X64)=>(((X65)=(X66))|(in @ X65 @ X66)))))))))))=>![X67:$i]:(((in @ X67 @ X57)=>~(in @ X67 @ X67)))))=>![X3:$i]:(((epred3_1 @ X3)=>![X1:$i]:(((in @ X3 @ X1)=>~(in @ X1 @ X3)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19, c_0_16]), c_0_20]), c_0_21])]), c_0_7]), c_0_22]), c_0_6])).
% 3.65/0.87 thf(c_0_27, plain, ![X1:$i]:(((in @ (esk13_1 @ X1) @ X1)|(in @ (esk11_1 @ X1) @ X1)|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_28, plain, ![X1:$i, X2:$i]:(((in @ X1 @ (esk11_1 @ X2))|(in @ (esk12_1 @ X2) @ X2)|(epred1_1 @ X2)|~((in @ X1 @ (esk10_1 @ X2)))|~((in @ X1 @ X2))|~((epred3_1 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])).
% 3.65/0.87 thf(c_0_29, plain, ![X1:$i]:(((in @ (esk12_1 @ X1) @ X1)|(in @ (esk9_1 @ X1) @ (esk10_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_30, plain, ![X1:$i]:(((in @ (esk12_1 @ X1) @ X1)|(in @ (esk9_1 @ X1) @ X1)|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_31, plain, ![X1:$i]:(((in @ (esk12_1 @ X1) @ X1)|(epred1_1 @ X1)|~((in @ (esk9_1 @ X1) @ (esk11_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_32, negated_conjecture, ![X77:$i, X80:$i, X82:$i, X83:$i, X84:$i, X87:$i, X89:$i]:((((((in @ (esk2_1 @ X77) @ (powerset @ X77))|((in @ (esk1_1 @ X77) @ X77)|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77))))&(((nonempty @ (esk2_1 @ X77))|((in @ (esk1_1 @ X77) @ X77)|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77))))&(((in @ (esk3_2 @ X77 @ X80) @ (esk2_1 @ X77))|~(in @ X80 @ (esk2_1 @ X77))|((in @ (esk1_1 @ X77) @ X77)|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77))))&((((X80)!=(esk3_2 @ X77 @ X80))|~(in @ X80 @ (esk2_1 @ X77))|((in @ (esk1_1 @ X77) @ X77)|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77))))&(~(in @ X80 @ (esk3_2 @ X77 @ X80))|~(in @ X80 @ (esk2_1 @ X77))|((in @ (esk1_1 @ X77) @ X77)|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77))))))))&(((in @ (esk2_1 @ X77) @ (powerset @ X77))|((in @ (esk1_1 @ X77) @ (esk1_1 @ X77))|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77))))&(((nonempty @ (esk2_1 @ X77))|((in @ (esk1_1 @ X77) @ (esk1_1 @ X77))|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77))))&(((in @ (esk3_2 @ X77 @ X80) @ (esk2_1 @ X77))|~(in @ X80 @ (esk2_1 @ X77))|((in @ (esk1_1 @ X77) @ (esk1_1 @ X77))|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77))))&((((X80)!=(esk3_2 @ X77 @ X80))|~(in @ X80 @ (esk2_1 @ X77))|((in @ (esk1_1 @ X77) @ (esk1_1 @ X77))|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77))))&(~(in @ X80 @ (esk3_2 @ X77 @ X80))|~(in @ X80 @ (esk2_1 @ X77))|((in @ (esk1_1 @ X77) @ (esk1_1 @ X77))|~(epred1_1 @ X77))|~(transitiveset @ X77)|(~(in @ X83 @ X77)|(~(in @ X82 @ X83)|(in @ X82 @ X77)))))))))&(((((in @ (esk5_1 @ X84) @ (powerset @ X84))|((in @ (esk4_1 @ X84) @ X84)|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89)))&(((nonempty @ (esk5_1 @ X84))|((in @ (esk4_1 @ X84) @ X84)|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89)))&(((in @ (esk6_2 @ X84 @ X87) @ (esk5_1 @ X84))|~(in @ X87 @ (esk5_1 @ X84))|((in @ (esk4_1 @ X84) @ X84)|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89)))&((((X87)!=(esk6_2 @ X84 @ X87))|~(in @ X87 @ (esk5_1 @ X84))|((in @ (esk4_1 @ X84) @ X84)|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89)))&(~(in @ X87 @ (esk6_2 @ X84 @ X87))|~(in @ X87 @ (esk5_1 @ X84))|((in @ (esk4_1 @ X84) @ X84)|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89)))))))&(((in @ (esk5_1 @ X84) @ (powerset @ X84))|((in @ (esk4_1 @ X84) @ (esk4_1 @ X84))|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89)))&(((nonempty @ (esk5_1 @ X84))|((in @ (esk4_1 @ X84) @ (esk4_1 @ X84))|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89)))&(((in @ (esk6_2 @ X84 @ X87) @ (esk5_1 @ X84))|~(in @ X87 @ (esk5_1 @ X84))|((in @ (esk4_1 @ X84) @ (esk4_1 @ X84))|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89)))&((((X87)!=(esk6_2 @ X84 @ X87))|~(in @ X87 @ (esk5_1 @ X84))|((in @ (esk4_1 @ X84) @ (esk4_1 @ X84))|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89)))&(~(in @ X87 @ (esk6_2 @ X84 @ X87))|~(in @ X87 @ (esk5_1 @ X84))|((in @ (esk4_1 @ X84) @ (esk4_1 @ X84))|~(epred2_1 @ X84))|~(transitiveset @ X84)|(~(in @ X89 @ X84)|~(in @ X89 @ X89))))))))&((epred3_1 @ esk7_0)&((in @ esk7_0 @ esk8_0)&(in @ esk8_0 @ esk7_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_26])])])])])])).
% 3.65/0.87 thf(c_0_33, plain, ![X3:$i, X2:$i, X1:$i]:(((in @ (esk13_1 @ X1) @ X1)|(in @ X2 @ (esk11_1 @ X1))|(epred1_1 @ X1)|~((in @ X3 @ (esk11_1 @ X1)))|~((in @ X3 @ X1))|~((in @ X2 @ X3))|~((in @ X2 @ X1))|~((epred3_1 @ X1)))), inference(spm,[status(thm)],[c_0_17, c_0_27])).
% 3.65/0.87 thf(c_0_34, plain, ![X1:$i]:(((in @ (esk13_1 @ X1) @ X1)|(in @ (esk10_1 @ X1) @ (esk11_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_35, plain, ![X1:$i]:(((in @ (esk13_1 @ X1) @ X1)|(in @ (esk10_1 @ X1) @ X1)|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_36, plain, ![X1:$i]:(((in @ (esk12_1 @ X1) @ X1)|(epred1_1 @ X1)|~((epred3_1 @ X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31])).
% 3.65/0.87 thf(c_0_37, negated_conjecture, (epred3_1 @ esk7_0), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_38, plain, ![X1:$i, X2:$i]:(((in @ X1 @ (esk11_1 @ X2))|(in @ (esk13_1 @ X2) @ X2)|(epred1_1 @ X2)|~((in @ X1 @ (esk10_1 @ X2)))|~((in @ X1 @ X2))|~((epred3_1 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])).
% 3.65/0.87 thf(c_0_39, plain, ![X1:$i]:(((in @ (esk13_1 @ X1) @ X1)|(in @ (esk9_1 @ X1) @ (esk10_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_40, plain, ![X1:$i]:(((in @ (esk13_1 @ X1) @ X1)|(in @ (esk9_1 @ X1) @ X1)|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_41, plain, ![X1:$i]:(((in @ (esk13_1 @ X1) @ X1)|(epred1_1 @ X1)|~((in @ (esk9_1 @ X1) @ (esk11_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_42, plain, ![X1:$i, X3:$i, X2:$i]:((((X1)=(X3))|(in @ X1 @ X3)|(in @ X3 @ X1)|~((in @ X1 @ X2))|~((in @ X3 @ X2))|~((epred3_1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 3.65/0.87 thf(c_0_43, negated_conjecture, ((in @ (esk12_1 @ esk7_0) @ esk7_0)|(epred1_1 @ esk7_0)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 3.65/0.87 thf(c_0_44, plain, ![X1:$i]:(((in @ (esk13_1 @ X1) @ X1)|(epred1_1 @ X1)|~((epred3_1 @ X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40]), c_0_41])).
% 3.65/0.87 thf(c_0_45, plain, ![X1:$i]:((((X1)=(esk12_1 @ esk7_0))|(in @ (esk12_1 @ esk7_0) @ X1)|(in @ X1 @ (esk12_1 @ esk7_0))|(epred1_1 @ esk7_0)|~((in @ X1 @ esk7_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_37])])).
% 3.65/0.87 thf(c_0_46, negated_conjecture, ((in @ (esk13_1 @ esk7_0) @ esk7_0)|(epred1_1 @ esk7_0)), inference(spm,[status(thm)],[c_0_44, c_0_37])).
% 3.65/0.87 thf(c_0_47, plain, ![X1:$i]:(((in @ (esk11_1 @ X1) @ X1)|(epred1_1 @ X1)|~((in @ (esk13_1 @ X1) @ (esk12_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_48, plain, (((esk13_1 @ esk7_0)=(esk12_1 @ esk7_0))|(in @ (esk13_1 @ esk7_0) @ (esk12_1 @ esk7_0))|(in @ (esk12_1 @ esk7_0) @ (esk13_1 @ esk7_0))|(epred1_1 @ esk7_0)), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 3.65/0.87 thf(c_0_49, plain, ![X1:$i]:(((in @ (esk11_1 @ X1) @ X1)|(epred1_1 @ X1)|~((in @ (esk12_1 @ X1) @ (esk13_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_50, plain, ![X1:$i]:(((in @ (esk11_1 @ X1) @ X1)|(epred1_1 @ X1)|((esk12_1 @ X1)!=(esk13_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_51, plain, ((in @ (esk11_1 @ esk7_0) @ esk7_0)|(epred1_1 @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49]), c_0_50])).
% 3.65/0.87 thf(c_0_52, plain, ![X1:$i]:(((in @ (esk10_1 @ X1) @ (esk11_1 @ X1))|(epred1_1 @ X1)|~((in @ (esk13_1 @ X1) @ (esk12_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_53, plain, ![X1:$i]:(((in @ (esk10_1 @ X1) @ (esk11_1 @ X1))|(epred1_1 @ X1)|~((in @ (esk12_1 @ X1) @ (esk13_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_54, plain, ![X1:$i]:(((in @ (esk10_1 @ X1) @ (esk11_1 @ X1))|(epred1_1 @ X1)|((esk12_1 @ X1)!=(esk13_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_55, plain, ![X1:$i]:(((in @ (esk10_1 @ X1) @ X1)|(epred1_1 @ X1)|~((in @ (esk13_1 @ X1) @ (esk12_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_56, plain, ![X1:$i]:(((in @ (esk10_1 @ X1) @ X1)|(epred1_1 @ X1)|~((in @ (esk12_1 @ X1) @ (esk13_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_57, plain, ![X1:$i]:(((in @ (esk10_1 @ X1) @ X1)|(epred1_1 @ X1)|((esk12_1 @ X1)!=(esk13_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_58, negated_conjecture, (in @ esk8_0 @ esk7_0), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_59, plain, ![X1:$i, X2:$i]:(((in @ X1 @ (esk11_1 @ esk7_0))|(epred1_1 @ esk7_0)|~((in @ X2 @ (esk11_1 @ esk7_0)))|~((in @ X2 @ esk7_0))|~((in @ X1 @ esk7_0))|~((in @ X1 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_51]), c_0_37])])).
% 3.65/0.87 thf(c_0_60, plain, ((in @ (esk10_1 @ esk7_0) @ (esk11_1 @ esk7_0))|(epred1_1 @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_48]), c_0_53]), c_0_54])).
% 3.65/0.87 thf(c_0_61, plain, ((in @ (esk10_1 @ esk7_0) @ esk7_0)|(epred1_1 @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_48]), c_0_56]), c_0_57])).
% 3.65/0.87 thf(c_0_62, plain, ![X1:$i]:(((in @ (esk9_1 @ X1) @ (esk10_1 @ X1))|(epred1_1 @ X1)|~((in @ (esk13_1 @ X1) @ (esk12_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_63, plain, ![X1:$i]:(((in @ (esk9_1 @ X1) @ (esk10_1 @ X1))|(epred1_1 @ X1)|~((in @ (esk12_1 @ X1) @ (esk13_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_64, plain, ![X1:$i]:(((in @ (esk9_1 @ X1) @ (esk10_1 @ X1))|(epred1_1 @ X1)|((esk12_1 @ X1)!=(esk13_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_65, plain, ![X1:$i]:(((in @ (esk9_1 @ X1) @ X1)|(epred1_1 @ X1)|~((in @ (esk13_1 @ X1) @ (esk12_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_66, plain, ![X1:$i]:(((in @ (esk9_1 @ X1) @ X1)|(epred1_1 @ X1)|~((in @ (esk12_1 @ X1) @ (esk13_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_67, plain, ![X1:$i]:(((in @ (esk9_1 @ X1) @ X1)|(epred1_1 @ X1)|((esk12_1 @ X1)!=(esk13_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_68, plain, ![X1:$i, X2:$i]:((~((in @ X1 @ X2))|~((in @ X1 @ X1))|~((epred3_1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 3.65/0.87 thf(c_0_69, negated_conjecture, ![X1:$i, X2:$i]:(((in @ X1 @ esk8_0)|~((in @ X2 @ esk8_0))|~((in @ X2 @ esk7_0))|~((in @ X1 @ esk7_0))|~((in @ X1 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_58]), c_0_37])])).
% 3.65/0.87 thf(c_0_70, negated_conjecture, (in @ esk7_0 @ esk8_0), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_71, plain, ![X1:$i]:(((in @ X1 @ (esk11_1 @ esk7_0))|(epred1_1 @ esk7_0)|~((in @ X1 @ (esk10_1 @ esk7_0)))|~((in @ X1 @ esk7_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])).
% 3.65/0.87 thf(c_0_72, plain, ((in @ (esk9_1 @ esk7_0) @ (esk10_1 @ esk7_0))|(epred1_1 @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_48]), c_0_63]), c_0_64])).
% 3.65/0.87 thf(c_0_73, plain, ((in @ (esk9_1 @ esk7_0) @ esk7_0)|(epred1_1 @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_48]), c_0_66]), c_0_67])).
% 3.65/0.87 thf(c_0_74, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:(((in @ (esk2_1 @ X1) @ (powerset @ X1))|(in @ (esk1_1 @ X1) @ X1)|(in @ X3 @ X1)|~((epred1_1 @ X1))|~((transitiveset @ X1))|~((in @ X2 @ X1))|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_75, plain, ![X1:$i]:(((transitiveset @ X1)|~((epred3_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 3.65/0.87 thf(c_0_76, negated_conjecture, ~((in @ esk8_0 @ esk8_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_58]), c_0_37])])).
% 3.65/0.87 thf(c_0_77, negated_conjecture, ![X1:$i]:(((in @ X1 @ esk8_0)|~((in @ esk7_0 @ esk7_0))|~((in @ X1 @ esk7_0)))), inference(spm,[status(thm)],[c_0_69, c_0_70])).
% 3.65/0.87 thf(c_0_78, plain, ![X1:$i]:(((epred1_1 @ X1)|~((in @ (esk13_1 @ X1) @ (esk12_1 @ X1)))|~((in @ (esk9_1 @ X1) @ (esk11_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_79, plain, ((in @ (esk9_1 @ esk7_0) @ (esk11_1 @ esk7_0))|(epred1_1 @ esk7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73])).
% 3.65/0.87 thf(c_0_80, plain, ![X1:$i]:(((epred1_1 @ X1)|~((in @ (esk12_1 @ X1) @ (esk13_1 @ X1)))|~((in @ (esk9_1 @ X1) @ (esk11_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_81, plain, ![X1:$i]:(((epred1_1 @ X1)|((esk12_1 @ X1)!=(esk13_1 @ X1))|~((in @ (esk9_1 @ X1) @ (esk11_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 3.65/0.87 thf(c_0_82, negated_conjecture, ![X1:$i]:(((in @ (esk2_1 @ X1) @ (powerset @ X1))|(in @ (esk1_1 @ X1) @ X1)|(in @ esk7_0 @ X1)|~((in @ esk8_0 @ X1))|~((transitiveset @ X1))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_74, c_0_70])).
% 3.65/0.87 thf(c_0_83, negated_conjecture, (transitiveset @ esk7_0), inference(spm,[status(thm)],[c_0_75, c_0_37])).
% 3.65/0.87 thf(c_0_84, negated_conjecture, ~((in @ esk7_0 @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_58])])).
% 3.65/0.87 thf(c_0_85, plain, ((epred1_1 @ esk7_0)|~((in @ (esk13_1 @ esk7_0) @ (esk12_1 @ esk7_0)))), inference(spm,[status(thm)],[c_0_78, c_0_79])).
% 3.65/0.87 thf(c_0_86, plain, ((epred1_1 @ esk7_0)|~((in @ (esk12_1 @ esk7_0) @ (esk13_1 @ esk7_0)))), inference(spm,[status(thm)],[c_0_80, c_0_79])).
% 3.65/0.87 thf(c_0_87, plain, ((epred1_1 @ esk7_0)|((esk13_1 @ esk7_0)!=(esk12_1 @ esk7_0))), inference(spm,[status(thm)],[c_0_81, c_0_79])).
% 3.65/0.87 thf(c_0_88, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:(((nonempty @ (esk2_1 @ X1))|(in @ (esk1_1 @ X1) @ X1)|(in @ X3 @ X1)|~((epred1_1 @ X1))|~((transitiveset @ X1))|~((in @ X2 @ X1))|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_89, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X3:$i]:(((in @ (esk3_2 @ X1 @ X2) @ (esk2_1 @ X1))|(in @ (esk1_1 @ X1) @ X1)|(in @ X4 @ X1)|~((in @ X2 @ (esk2_1 @ X1)))|~((epred1_1 @ X1))|~((transitiveset @ X1))|~((in @ X3 @ X1))|~((in @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_90, plain, ![X2:$i, X1:$i]:(((in @ (esk19_2 @ X1 @ X2) @ X2)|~((nonempty @ X2))|~((in @ X2 @ (powerset @ X1)))|~((epred3_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 3.65/0.87 thf(c_0_91, negated_conjecture, ((in @ (esk2_1 @ esk7_0) @ (powerset @ esk7_0))|(in @ (esk1_1 @ esk7_0) @ esk7_0)|~((epred1_1 @ esk7_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_58]), c_0_83])]), c_0_84])).
% 3.65/0.87 thf(c_0_92, plain, (epred1_1 @ esk7_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_48]), c_0_86]), c_0_87])).
% 3.65/0.87 thf(c_0_93, negated_conjecture, ![X1:$i]:(((in @ (esk1_1 @ X1) @ X1)|(in @ esk7_0 @ X1)|(nonempty @ (esk2_1 @ X1))|~((in @ esk8_0 @ X1))|~((transitiveset @ X1))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_88, c_0_70])).
% 3.65/0.87 thf(c_0_94, plain, ![X1:$i, X4:$i, X3:$i, X2:$i]:(((in @ (esk3_2 @ X1 @ (esk19_2 @ X2 @ (esk2_1 @ X1))) @ (esk2_1 @ X1))|(in @ (esk1_1 @ X1) @ X1)|(in @ X3 @ X1)|~((in @ (esk2_1 @ X1) @ (powerset @ X2)))|~((in @ X3 @ X4))|~((in @ X4 @ X1))|~((transitiveset @ X1))|~((epred1_1 @ X1))|~((epred3_1 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_88])).
% 3.65/0.87 thf(c_0_95, negated_conjecture, ((in @ (esk2_1 @ esk7_0) @ (powerset @ esk7_0))|(in @ (esk1_1 @ esk7_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91, c_0_92])])).
% 3.65/0.87 thf(c_0_96, negated_conjecture, ((in @ (esk1_1 @ esk7_0) @ esk7_0)|(nonempty @ (esk2_1 @ esk7_0))|~((epred1_1 @ esk7_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_58]), c_0_83])]), c_0_84])).
% 3.65/0.87 thf(c_0_97, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))) @ (esk2_1 @ esk7_0))|(in @ (esk1_1 @ esk7_0) @ esk7_0)|(in @ X1 @ esk7_0)|~((in @ X2 @ esk7_0))|~((in @ X1 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_83]), c_0_92]), c_0_37])])).
% 3.65/0.87 thf(c_0_98, plain, ![X1:$i, X2:$i, X3:$i]:((((esk19_2 @ X3 @ X2)=(X1))|(in @ (esk19_2 @ X3 @ X2) @ X1)|~((in @ X1 @ X2))|~((nonempty @ X2))|~((in @ X2 @ (powerset @ X3)))|~((epred3_1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 3.65/0.87 thf(c_0_99, negated_conjecture, ((in @ (esk1_1 @ esk7_0) @ esk7_0)|(nonempty @ (esk2_1 @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_92])])).
% 3.65/0.87 thf(c_0_100, negated_conjecture, ![X1:$i]:(((in @ (esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))) @ (esk2_1 @ esk7_0))|(in @ (esk1_1 @ esk7_0) @ esk7_0)|(in @ X1 @ esk7_0)|~((in @ X1 @ esk8_0)))), inference(spm,[status(thm)],[c_0_97, c_0_58])).
% 3.65/0.87 thf(c_0_101, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X3:$i]:(((in @ (esk1_1 @ X2) @ X2)|(in @ X4 @ X2)|((X1)!=(esk3_2 @ X2 @ X1))|~((in @ X1 @ (esk2_1 @ X2)))|~((epred1_1 @ X2))|~((transitiveset @ X2))|~((in @ X3 @ X2))|~((in @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_102, plain, ![X1:$i]:((((esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))=(X1))|(in @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)) @ X1)|(in @ (esk1_1 @ esk7_0) @ esk7_0)|~((in @ X1 @ (esk2_1 @ esk7_0))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_95]), c_0_37])]), c_0_99])).
% 3.65/0.87 thf(c_0_103, negated_conjecture, ((in @ (esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))) @ (esk2_1 @ esk7_0))|(in @ (esk1_1 @ esk7_0) @ esk7_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_70]), c_0_84])).
% 3.65/0.87 thf(c_0_104, plain, ![X2:$i, X1:$i, X4:$i, X3:$i]:(((in @ (esk1_1 @ X1) @ X1)|(in @ X2 @ X1)|((esk3_2 @ X1 @ (esk19_2 @ X3 @ (esk2_1 @ X1)))!=(esk19_2 @ X3 @ (esk2_1 @ X1)))|~((in @ (esk2_1 @ X1) @ (powerset @ X3)))|~((in @ X2 @ X4))|~((in @ X4 @ X1))|~((transitiveset @ X1))|~((epred1_1 @ X1))|~((epred3_1 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_90]), c_0_88])).
% 3.65/0.87 thf(c_0_105, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X3:$i]:(((in @ (esk1_1 @ X2) @ X2)|(in @ X4 @ X2)|~((in @ X1 @ (esk3_2 @ X2 @ X1)))|~((in @ X1 @ (esk2_1 @ X2)))|~((epred1_1 @ X2))|~((transitiveset @ X2))|~((in @ X3 @ X2))|~((in @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_106, plain, (((esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)))=(esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)))|(in @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)) @ (esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))))|(in @ (esk1_1 @ esk7_0) @ esk7_0)), inference(spm,[status(thm)],[c_0_102, c_0_103])).
% 3.65/0.87 thf(c_0_107, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (esk1_1 @ esk7_0) @ esk7_0)|(in @ X1 @ esk7_0)|((esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)))!=(esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)))|~((in @ X2 @ esk7_0))|~((in @ X1 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_95]), c_0_83]), c_0_92]), c_0_37])])).
% 3.65/0.87 thf(c_0_108, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (esk1_1 @ esk7_0) @ esk7_0)|(in @ X1 @ esk7_0)|~((in @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)) @ (esk2_1 @ esk7_0)))|~((in @ X2 @ esk7_0))|~((in @ X1 @ X2)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_83]), c_0_92])]), c_0_107])).
% 3.65/0.87 thf(c_0_109, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:(((in @ (esk2_1 @ X1) @ (powerset @ X1))|(in @ (esk1_1 @ X1) @ (esk1_1 @ X1))|(in @ X3 @ X1)|~((epred1_1 @ X1))|~((transitiveset @ X1))|~((in @ X2 @ X1))|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_110, plain, ![X1:$i, X2:$i]:(((in @ (esk1_1 @ esk7_0) @ esk7_0)|(in @ X1 @ esk7_0)|~((in @ X2 @ esk7_0))|~((in @ X1 @ X2)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_90]), c_0_37])]), c_0_99]), c_0_95])).
% 3.65/0.87 thf(c_0_111, negated_conjecture, ![X1:$i]:(((in @ (esk1_1 @ X1) @ (esk1_1 @ X1))|(in @ (esk2_1 @ X1) @ (powerset @ X1))|(in @ esk7_0 @ X1)|~((in @ esk8_0 @ X1))|~((transitiveset @ X1))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_109, c_0_70])).
% 3.65/0.87 thf(c_0_112, negated_conjecture, ![X1:$i]:(((in @ (esk1_1 @ esk7_0) @ esk7_0)|(in @ X1 @ esk7_0)|~((in @ X1 @ esk8_0)))), inference(spm,[status(thm)],[c_0_110, c_0_58])).
% 3.65/0.87 thf(c_0_113, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:(((nonempty @ (esk2_1 @ X1))|(in @ (esk1_1 @ X1) @ (esk1_1 @ X1))|(in @ X3 @ X1)|~((epred1_1 @ X1))|~((transitiveset @ X1))|~((in @ X2 @ X1))|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_114, negated_conjecture, ((in @ (esk2_1 @ esk7_0) @ (powerset @ esk7_0))|(in @ (esk1_1 @ esk7_0) @ (esk1_1 @ esk7_0))|~((epred1_1 @ esk7_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_58]), c_0_83])]), c_0_84])).
% 3.65/0.87 thf(c_0_115, negated_conjecture, (in @ (esk1_1 @ esk7_0) @ esk7_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_70]), c_0_84])).
% 3.65/0.87 thf(c_0_116, negated_conjecture, ![X1:$i]:(((in @ (esk1_1 @ X1) @ (esk1_1 @ X1))|(in @ esk7_0 @ X1)|(nonempty @ (esk2_1 @ X1))|~((in @ esk8_0 @ X1))|~((transitiveset @ X1))|~((epred1_1 @ X1)))), inference(spm,[status(thm)],[c_0_113, c_0_70])).
% 3.65/0.87 thf(c_0_117, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X3:$i]:(((in @ (esk3_2 @ X1 @ X2) @ (esk2_1 @ X1))|(in @ (esk1_1 @ X1) @ (esk1_1 @ X1))|(in @ X4 @ X1)|~((in @ X2 @ (esk2_1 @ X1)))|~((epred1_1 @ X1))|~((transitiveset @ X1))|~((in @ X3 @ X1))|~((in @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_118, negated_conjecture, ((in @ (esk1_1 @ esk7_0) @ (esk1_1 @ esk7_0))|(in @ (esk2_1 @ esk7_0) @ (powerset @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114, c_0_92])])).
% 3.65/0.87 thf(c_0_119, plain, ~((in @ (esk1_1 @ esk7_0) @ (esk1_1 @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_115]), c_0_37])])).
% 3.65/0.87 thf(c_0_120, negated_conjecture, ((in @ (esk1_1 @ esk7_0) @ (esk1_1 @ esk7_0))|(nonempty @ (esk2_1 @ esk7_0))|~((epred1_1 @ esk7_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_58]), c_0_83])]), c_0_84])).
% 3.65/0.87 thf(c_0_121, plain, ![X1:$i, X4:$i, X3:$i, X2:$i]:(((in @ (esk3_2 @ X1 @ (esk19_2 @ X2 @ (esk2_1 @ X1))) @ (esk2_1 @ X1))|(in @ (esk1_1 @ X1) @ (esk1_1 @ X1))|(in @ X3 @ X1)|~((in @ (esk2_1 @ X1) @ (powerset @ X2)))|~((in @ X3 @ X4))|~((in @ X4 @ X1))|~((transitiveset @ X1))|~((epred1_1 @ X1))|~((epred3_1 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_90]), c_0_113])).
% 3.65/0.87 thf(c_0_122, negated_conjecture, (in @ (esk2_1 @ esk7_0) @ (powerset @ esk7_0)), inference(sr,[status(thm)],[c_0_118, c_0_119])).
% 3.65/0.87 thf(c_0_123, negated_conjecture, ((in @ (esk1_1 @ esk7_0) @ (esk1_1 @ esk7_0))|(nonempty @ (esk2_1 @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120, c_0_92])])).
% 3.65/0.87 thf(c_0_124, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))) @ (esk2_1 @ esk7_0))|(in @ X1 @ esk7_0)|~((in @ X2 @ esk7_0))|~((in @ X1 @ X2)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_122]), c_0_83]), c_0_92]), c_0_37])]), c_0_119])).
% 3.65/0.87 thf(c_0_125, negated_conjecture, (nonempty @ (esk2_1 @ esk7_0)), inference(sr,[status(thm)],[c_0_123, c_0_119])).
% 3.65/0.87 thf(c_0_126, negated_conjecture, ![X1:$i]:(((in @ (esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))) @ (esk2_1 @ esk7_0))|(in @ X1 @ esk7_0)|~((in @ X1 @ esk8_0)))), inference(spm,[status(thm)],[c_0_124, c_0_58])).
% 3.65/0.87 thf(c_0_127, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X3:$i]:(((in @ (esk1_1 @ X2) @ (esk1_1 @ X2))|(in @ X4 @ X2)|((X1)!=(esk3_2 @ X2 @ X1))|~((in @ X1 @ (esk2_1 @ X2)))|~((epred1_1 @ X2))|~((transitiveset @ X2))|~((in @ X3 @ X2))|~((in @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_128, plain, ![X1:$i]:((((esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))=(X1))|(in @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)) @ X1)|~((in @ X1 @ (esk2_1 @ esk7_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_122]), c_0_37])]), c_0_125])])).
% 3.65/0.87 thf(c_0_129, negated_conjecture, (in @ (esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))) @ (esk2_1 @ esk7_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_70]), c_0_84])).
% 3.65/0.87 thf(c_0_130, plain, ![X2:$i, X1:$i, X4:$i, X3:$i]:(((in @ (esk1_1 @ X1) @ (esk1_1 @ X1))|(in @ X2 @ X1)|((esk3_2 @ X1 @ (esk19_2 @ X3 @ (esk2_1 @ X1)))!=(esk19_2 @ X3 @ (esk2_1 @ X1)))|~((in @ (esk2_1 @ X1) @ (powerset @ X3)))|~((in @ X2 @ X4))|~((in @ X4 @ X1))|~((transitiveset @ X1))|~((epred1_1 @ X1))|~((epred3_1 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_90]), c_0_113])).
% 3.65/0.87 thf(c_0_131, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X3:$i]:(((in @ (esk1_1 @ X2) @ (esk1_1 @ X2))|(in @ X4 @ X2)|~((in @ X1 @ (esk3_2 @ X2 @ X1)))|~((in @ X1 @ (esk2_1 @ X2)))|~((epred1_1 @ X2))|~((transitiveset @ X2))|~((in @ X3 @ X2))|~((in @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.65/0.87 thf(c_0_132, plain, (((esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)))=(esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)))|(in @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)) @ (esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0))))), inference(spm,[status(thm)],[c_0_128, c_0_129])).
% 3.65/0.87 thf(c_0_133, plain, ![X1:$i, X2:$i]:(((in @ X1 @ esk7_0)|((esk3_2 @ esk7_0 @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)))!=(esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)))|~((in @ X2 @ esk7_0))|~((in @ X1 @ X2)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_122]), c_0_83]), c_0_92]), c_0_37])]), c_0_119])).
% 3.65/0.87 thf(c_0_134, negated_conjecture, ![X1:$i, X2:$i]:(((in @ X1 @ esk7_0)|~((in @ (esk19_2 @ esk7_0 @ (esk2_1 @ esk7_0)) @ (esk2_1 @ esk7_0)))|~((in @ X2 @ esk7_0))|~((in @ X1 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_83]), c_0_92])]), c_0_119]), c_0_133])).
% 3.65/0.87 thf(c_0_135, plain, ![X1:$i, X2:$i]:(((in @ X1 @ esk7_0)|~((in @ X2 @ esk7_0))|~((in @ X1 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_90]), c_0_122]), c_0_125]), c_0_37])])).
% 3.65/0.87 thf(c_0_136, negated_conjecture, ![X1:$i]:(((in @ X1 @ esk7_0)|~((in @ X1 @ esk8_0)))), inference(spm,[status(thm)],[c_0_135, c_0_58])).
% 3.65/0.87 thf(c_0_137, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_70]), c_0_84]), ['proof']).
% 3.65/0.87 % SZS output end CNFRefutation
% 3.65/0.87 % Parsed axioms : 15
% 3.65/0.87 % Removed by relevancy pruning/SinE : 0
% 3.65/0.87 % Initial clauses : 98
% 3.65/0.87 % Removed in clause preprocessing : 9
% 3.65/0.87 % Initial clauses in saturation : 89
% 3.65/0.87 % Processed clauses : 1562
% 3.65/0.87 % ...of these trivial : 24
% 3.65/0.87 % ...subsumed : 362
% 3.65/0.87 % ...remaining for further processing : 1176
% 3.65/0.87 % Other redundant clauses eliminated : 0
% 3.65/0.87 % Clauses deleted for lack of memory : 0
% 3.65/0.87 % Backward-subsumed : 214
% 3.65/0.87 % Backward-rewritten : 327
% 3.65/0.87 % Generated clauses : 7779
% 3.65/0.87 % ...of the previous two non-redundant : 7142
% 3.65/0.87 % ...aggressively subsumed : 0
% 3.65/0.87 % Contextual simplify-reflections : 113
% 3.65/0.87 % Paramodulations : 7703
% 3.65/0.87 % Factorizations : 62
% 3.65/0.87 % NegExts : 0
% 3.65/0.87 % Equation resolutions : 0
% 3.65/0.87 % Disequality decompositions : 0
% 3.65/0.87 % Total rewrite steps : 977
% 3.65/0.87 % ...of those cached : 968
% 3.65/0.87 % Propositional unsat checks : 0
% 3.65/0.87 % Propositional check models : 0
% 3.65/0.87 % Propositional check unsatisfiable : 0
% 3.65/0.87 % Propositional clauses : 0
% 3.65/0.87 % Propositional clauses after purity: 0
% 3.65/0.87 % Propositional unsat core size : 0
% 3.65/0.87 % Propositional preprocessing time : 0.000
% 3.65/0.87 % Propositional encoding time : 0.000
% 3.65/0.87 % Propositional solver time : 0.000
% 3.65/0.87 % Success case prop preproc time : 0.000
% 3.65/0.87 % Success case prop encoding time : 0.000
% 3.65/0.87 % Success case prop solver time : 0.000
% 3.65/0.87 % Current number of processed clauses : 621
% 3.65/0.87 % Positive orientable unit clauses : 10
% 3.65/0.87 % Positive unorientable unit clauses: 0
% 3.65/0.87 % Negative unit clauses : 3
% 3.65/0.87 % Non-unit-clauses : 608
% 3.65/0.87 % Current number of unprocessed clauses: 4267
% 3.65/0.87 % ...number of literals in the above : 41182
% 3.65/0.87 % Current number of archived formulas : 0
% 3.65/0.87 % Current number of archived clauses : 555
% 3.65/0.87 % Clause-clause subsumption calls (NU) : 325016
% 3.65/0.87 % Rec. Clause-clause subsumption calls : 5467
% 3.65/0.87 % Non-unit clause-clause subsumptions : 681
% 3.65/0.87 % Unit Clause-clause subsumption calls : 2175
% 3.65/0.87 % Rewrite failures with RHS unbound : 0
% 3.65/0.87 % BW rewrite match attempts : 4
% 3.65/0.87 % BW rewrite match successes : 4
% 3.65/0.87 % Condensation attempts : 1562
% 3.65/0.87 % Condensation successes : 0
% 3.65/0.87 % Termbank termtop insertions : 495479
% 3.65/0.87 % Search garbage collected termcells : 1704
% 3.65/0.87
% 3.65/0.87 % -------------------------------------------------
% 3.65/0.87 % User time : 0.519 s
% 3.65/0.87 % System time : 0.008 s
% 3.65/0.87 % Total time : 0.527 s
% 3.65/0.87 % Maximum resident set size: 3900 pages
% 3.65/0.87
% 3.65/0.87 % -------------------------------------------------
% 3.65/0.87 % User time : 2.318 s
% 3.65/0.87 % System time : 0.051 s
% 3.65/0.87 % Total time : 2.369 s
% 3.65/0.87 % Maximum resident set size: 4864 pages
% 3.65/0.87 % E exiting
%------------------------------------------------------------------------------