%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL489+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n020.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 : Mon Sep 7 11:21:04 AM UTC 2026
% Result : Theorem 47.76s 47.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL489+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n020.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 4 22:56:27 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 47.76/47.80 % Version : CSI_E---1.1
% 47.76/47.80 % Problem : theBenchmark.p
% 47.76/47.80 % Proof found!
% 47.76/47.80 % SZS status Theorem for theBenchmark.p
% 47.76/47.80 % SZS output start Proof
% 47.76/47.80 fof(op_implies_and, axiom, (op_implies_and=>![X1, X2]:implies(X1,X2)=not(and(X1,not(X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax', op_implies_and)).
% 47.76/47.80 fof(modus_ponens, axiom, (modus_ponens<=>![X1, X2]:((is_a_theorem(X1)&is_a_theorem(implies(X1,X2)))=>is_a_theorem(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', modus_ponens)).
% 47.76/47.80 fof(r3, axiom, (r3<=>![X4, X5]:is_a_theorem(implies(or(X4,X5),or(X5,X4)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', r3)).
% 47.76/47.80 fof(op_or, axiom, (op_or=>![X1, X2]:or(X1,X2)=not(and(not(X1),not(X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax', op_or)).
% 47.76/47.80 fof(hilbert_op_implies_and, axiom, op_implies_and, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', hilbert_op_implies_and)).
% 47.76/47.80 fof(principia_modus_ponens, axiom, modus_ponens, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_modus_ponens)).
% 47.76/47.80 fof(principia_r3, axiom, r3, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_r3)).
% 47.76/47.80 fof(op_implies_or, axiom, (op_implies_or=>![X1, X2]:implies(X1,X2)=or(not(X1),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax', op_implies_or)).
% 47.76/47.80 fof(r1, axiom, (r1<=>![X4]:is_a_theorem(implies(or(X4,X4),X4))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', r1)).
% 47.76/47.80 fof(hilbert_op_or, axiom, op_or, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', hilbert_op_or)).
% 47.76/47.80 fof(principia_op_implies_or, axiom, op_implies_or, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_op_implies_or)).
% 47.76/47.80 fof(principia_r1, axiom, r1, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_r1)).
% 47.76/47.80 fof(r2, axiom, (r2<=>![X4, X5]:is_a_theorem(implies(X5,or(X4,X5)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', r2)).
% 47.76/47.80 fof(principia_r2, axiom, r2, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_r2)).
% 47.76/47.80 fof(r4, axiom, (r4<=>![X4, X5, X6]:is_a_theorem(implies(or(X4,or(X5,X6)),or(X5,or(X4,X6))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', r4)).
% 47.76/47.80 fof(op_and, axiom, (op_and=>![X1, X2]:and(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax', op_and)).
% 47.76/47.80 fof(principia_r4, axiom, r4, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_r4)).
% 47.76/47.80 fof(principia_op_and, axiom, op_and, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_op_and)).
% 47.76/47.80 fof(op_equiv, axiom, (op_equiv=>![X1, X2]:equiv(X1,X2)=and(implies(X1,X2),implies(X2,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax', op_equiv)).
% 47.76/47.80 fof(principia_op_equiv, axiom, op_equiv, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_op_equiv)).
% 47.76/47.80 fof(substitution_of_equivalents, axiom, (substitution_of_equivalents<=>![X1, X2]:(is_a_theorem(equiv(X1,X2))=>X1=X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', substitution_of_equivalents)).
% 47.76/47.80 fof(use_substitution_of_equivalents, axiom, substitution_of_equivalents, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', use_substitution_of_equivalents)).
% 47.76/47.80 fof(r5, axiom, (r5<=>![X4, X5, X6]:is_a_theorem(implies(implies(X5,X6),implies(or(X4,X5),or(X4,X6))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', r5)).
% 47.76/47.80 fof(principia_r5, axiom, r5, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax', principia_r5)).
% 47.76/47.80 fof(and_3, axiom, (and_3<=>![X1, X2]:is_a_theorem(implies(X1,implies(X2,and(X1,X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', and_3)).
% 47.76/47.80 fof(hilbert_and_3, conjecture, and_3, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', hilbert_and_3)).
% 47.76/47.80 fof(c_0_26, plain, ![X186, X187]:(~op_implies_and|implies(X186,X187)=not(and(X186,not(X187)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_implies_and])])])).
% 47.76/47.80 fof(c_0_27, plain, ![X72, X73]:((~modus_ponens|(~is_a_theorem(X72)|~is_a_theorem(implies(X72,X73))|is_a_theorem(X73)))&(((is_a_theorem(esk1_0)|modus_ponens)&(is_a_theorem(implies(esk1_0,esk2_0))|modus_ponens))&(~is_a_theorem(esk2_0)|modus_ponens))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[modus_ponens])])])])])).
% 47.76/47.80 fof(c_0_28, plain, ![X166, X167]:((~r3|is_a_theorem(implies(or(X166,X167),or(X167,X166))))&(~is_a_theorem(implies(or(esk48_0,esk49_0),or(esk49_0,esk48_0)))|r3)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r3])])])])).
% 47.76/47.80 fof(c_0_29, plain, ![X182, X183]:(~op_or|or(X182,X183)=not(and(not(X182),not(X183)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_or])])])).
% 47.76/47.80 cnf(c_0_30, plain, (implies(X1,X2)=not(and(X1,not(X2)))|~op_implies_and), inference(split_conjunct,[status(thm)],[c_0_26])).
% 47.76/47.80 cnf(c_0_31, plain, (op_implies_and), inference(split_conjunct,[status(thm)],[hilbert_op_implies_and])).
% 47.76/47.80 cnf(c_0_32, plain, (is_a_theorem(X2)|~modus_ponens|~is_a_theorem(X1)|~is_a_theorem(implies(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_27])).
% 47.76/47.80 cnf(c_0_33, plain, (modus_ponens), inference(split_conjunct,[status(thm)],[principia_modus_ponens])).
% 47.76/47.80 cnf(c_0_34, plain, (is_a_theorem(implies(or(X1,X2),or(X2,X1)))|~r3), inference(split_conjunct,[status(thm)],[c_0_28])).
% 47.76/47.80 cnf(c_0_35, plain, (r3), inference(split_conjunct,[status(thm)],[principia_r3])).
% 47.76/47.80 fof(c_0_36, plain, ![X188, X189]:(~op_implies_or|implies(X188,X189)=or(not(X188),X189)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_implies_or])])])).
% 47.76/47.80 fof(c_0_37, plain, ![X160]:((~r1|is_a_theorem(implies(or(X160,X160),X160)))&(~is_a_theorem(implies(or(esk45_0,esk45_0),esk45_0))|r1)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r1])])])])).
% 47.76/47.80 cnf(c_0_38, plain, (or(X1,X2)=not(and(not(X1),not(X2)))|~op_or), inference(split_conjunct,[status(thm)],[c_0_29])).
% 47.76/47.80 cnf(c_0_39, plain, (not(and(X1,not(X2)))=implies(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 47.76/47.80 cnf(c_0_40, plain, (op_or), inference(split_conjunct,[status(thm)],[hilbert_op_or])).
% 47.76/47.80 cnf(c_0_41, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,X1))|~is_a_theorem(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 47.76/47.80 cnf(c_0_42, plain, (is_a_theorem(implies(or(X1,X2),or(X2,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 47.76/47.80 cnf(c_0_43, plain, (implies(X1,X2)=or(not(X1),X2)|~op_implies_or), inference(split_conjunct,[status(thm)],[c_0_36])).
% 47.76/47.80 cnf(c_0_44, plain, (op_implies_or), inference(split_conjunct,[status(thm)],[principia_op_implies_or])).
% 47.76/47.80 cnf(c_0_45, plain, (is_a_theorem(implies(or(X1,X1),X1))|~r1), inference(split_conjunct,[status(thm)],[c_0_37])).
% 47.76/47.80 cnf(c_0_46, plain, (r1), inference(split_conjunct,[status(thm)],[principia_r1])).
% 47.76/47.80 fof(c_0_47, plain, ![X162, X163]:((~r2|is_a_theorem(implies(X163,or(X162,X163))))&(~is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0)))|r2)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r2])])])])).
% 47.76/47.80 cnf(c_0_48, plain, (implies(not(X1),X2)=or(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39]), c_0_40])])).
% 47.76/47.80 cnf(c_0_49, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_41, c_0_42])).
% 47.76/47.80 cnf(c_0_50, plain, (or(not(X1),X2)=implies(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 47.76/47.80 cnf(c_0_51, plain, (is_a_theorem(implies(or(X1,X1),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])])).
% 47.76/47.80 cnf(c_0_52, plain, (is_a_theorem(implies(X1,or(X2,X1)))|~r2), inference(split_conjunct,[status(thm)],[c_0_47])).
% 47.76/47.80 cnf(c_0_53, plain, (r2), inference(split_conjunct,[status(thm)],[principia_r2])).
% 47.76/47.80 fof(c_0_54, plain, ![X170, X171, X172]:((~r4|is_a_theorem(implies(or(X170,or(X171,X172)),or(X171,or(X170,X172)))))&(~is_a_theorem(implies(or(esk50_0,or(esk51_0,esk52_0)),or(esk51_0,or(esk50_0,esk52_0))))|r4)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r4])])])])).
% 47.76/47.80 cnf(c_0_55, plain, (is_a_theorem(X1)|~is_a_theorem(or(X2,X1))|~is_a_theorem(not(X2))), inference(spm,[status(thm)],[c_0_41, c_0_48])).
% 47.76/47.80 cnf(c_0_56, plain, (is_a_theorem(or(X1,not(X2)))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 47.76/47.80 fof(c_0_57, plain, ![X184, X185]:(~op_and|and(X184,X185)=not(or(not(X184),not(X185)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_and])])])).
% 47.76/47.80 cnf(c_0_58, plain, (is_a_theorem(X1)|~is_a_theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_41, c_0_51])).
% 47.76/47.80 cnf(c_0_59, plain, (is_a_theorem(implies(X1,or(X2,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53])])).
% 47.76/47.80 cnf(c_0_60, plain, (is_a_theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))|~r4), inference(split_conjunct,[status(thm)],[c_0_54])).
% 47.76/47.80 cnf(c_0_61, plain, (r4), inference(split_conjunct,[status(thm)],[principia_r4])).
% 47.76/47.80 cnf(c_0_62, plain, (is_a_theorem(not(X1))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(not(X2))), inference(spm,[status(thm)],[c_0_55, c_0_56])).
% 47.76/47.80 cnf(c_0_63, plain, (and(X1,X2)=not(or(not(X1),not(X2)))|~op_and), inference(split_conjunct,[status(thm)],[c_0_57])).
% 47.76/47.80 cnf(c_0_64, plain, (op_and), inference(split_conjunct,[status(thm)],[principia_op_and])).
% 47.76/47.80 cnf(c_0_65, plain, (is_a_theorem(not(X1))|~is_a_theorem(implies(X1,not(X1)))), inference(spm,[status(thm)],[c_0_58, c_0_50])).
% 47.76/47.80 cnf(c_0_66, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_41, c_0_59])).
% 47.76/47.80 cnf(c_0_67, plain, (is_a_theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])])).
% 47.76/47.80 cnf(c_0_68, plain, (is_a_theorem(not(or(X1,X1)))|~is_a_theorem(not(X1))), inference(spm,[status(thm)],[c_0_62, c_0_51])).
% 47.76/47.80 cnf(c_0_69, plain, (not(implies(X1,not(X2)))=and(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_50]), c_0_64])])).
% 47.76/47.80 cnf(c_0_70, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(or(X1,not(not(X1))))), inference(spm,[status(thm)],[c_0_65, c_0_48])).
% 47.76/47.80 cnf(c_0_71, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_49, c_0_66])).
% 47.76/47.80 fof(c_0_72, plain, ![X190, X191]:(~op_equiv|equiv(X190,X191)=and(implies(X190,X191),implies(X191,X190))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_equiv])])])).
% 47.76/47.80 cnf(c_0_73, plain, (is_a_theorem(or(X1,or(X2,X3)))|~is_a_theorem(or(X2,or(X1,X3)))), inference(spm,[status(thm)],[c_0_41, c_0_67])).
% 47.76/47.80 cnf(c_0_74, plain, (is_a_theorem(or(X1,or(X2,not(X1))))), inference(spm,[status(thm)],[c_0_59, c_0_48])).
% 47.76/47.80 cnf(c_0_75, plain, (is_a_theorem(and(X1,X1))|~is_a_theorem(not(not(X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_50]), c_0_69])).
% 47.76/47.80 cnf(c_0_76, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_70, c_0_71])).
% 47.76/47.80 cnf(c_0_77, plain, (equiv(X1,X2)=and(implies(X1,X2),implies(X2,X1))|~op_equiv), inference(split_conjunct,[status(thm)],[c_0_72])).
% 47.76/47.80 cnf(c_0_78, plain, (op_equiv), inference(split_conjunct,[status(thm)],[principia_op_equiv])).
% 47.76/47.80 cnf(c_0_79, plain, (is_a_theorem(or(X1,or(X2,not(X2))))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
% 47.76/47.80 cnf(c_0_80, plain, (or(and(X1,not(X2)),X3)=implies(implies(X1,X2),X3)), inference(spm,[status(thm)],[c_0_48, c_0_39])).
% 47.76/47.80 cnf(c_0_81, plain, (or(and(X1,X2),X3)=implies(implies(X1,not(X2)),X3)), inference(spm,[status(thm)],[c_0_50, c_0_69])).
% 47.76/47.80 cnf(c_0_82, plain, (is_a_theorem(and(X1,X1))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_75, c_0_76])).
% 47.76/47.80 cnf(c_0_83, plain, (and(implies(X1,X2),implies(X2,X1))=equiv(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78])])).
% 47.76/47.80 cnf(c_0_84, plain, (is_a_theorem(or(X1,not(X1)))), inference(spm,[status(thm)],[c_0_58, c_0_79])).
% 47.76/47.80 cnf(c_0_85, plain, (implies(implies(X1,not(not(X2))),X3)=implies(implies(X1,X2),X3)), inference(rw,[status(thm)],[c_0_80, c_0_81])).
% 47.76/47.80 cnf(c_0_86, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(or(X1,X2))|~is_a_theorem(not(X2))), inference(spm,[status(thm)],[c_0_62, c_0_48])).
% 47.76/47.80 fof(c_0_87, plain, ![X76, X77]:((~substitution_of_equivalents|(~is_a_theorem(equiv(X76,X77))|X76=X77))&((is_a_theorem(equiv(esk3_0,esk4_0))|substitution_of_equivalents)&(esk3_0!=esk4_0|substitution_of_equivalents))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[substitution_of_equivalents])])])])])).
% 47.76/47.80 cnf(c_0_88, plain, (is_a_theorem(equiv(X1,X1))|~is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_82, c_0_83])).
% 47.76/47.80 cnf(c_0_89, plain, (is_a_theorem(implies(X1,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_84]), c_0_50])).
% 47.76/47.80 cnf(c_0_90, plain, (and(implies(X1,not(X2)),or(X2,X1))=equiv(X1,not(X2))), inference(spm,[status(thm)],[c_0_83, c_0_48])).
% 47.76/47.80 cnf(c_0_91, plain, (and(implies(X1,not(not(X2))),X3)=and(implies(X1,X2),X3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_85]), c_0_69])).
% 47.76/47.80 cnf(c_0_92, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(not(not(X2)))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_86, c_0_56])).
% 47.76/47.80 cnf(c_0_93, plain, (X1=X2|~substitution_of_equivalents|~is_a_theorem(equiv(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_87])).
% 47.76/47.80 cnf(c_0_94, plain, (substitution_of_equivalents), inference(split_conjunct,[status(thm)],[use_substitution_of_equivalents])).
% 47.76/47.80 cnf(c_0_95, plain, (is_a_theorem(equiv(X1,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_89])])).
% 47.76/47.80 cnf(c_0_96, plain, (equiv(X1,not(not(X2)))=equiv(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_50]), c_0_83])).
% 47.76/47.80 cnf(c_0_97, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(implies(X2,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_92, c_0_76])).
% 47.76/47.80 cnf(c_0_98, plain, (X1=X2|~is_a_theorem(equiv(X1,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])])).
% 47.76/47.80 cnf(c_0_99, plain, (is_a_theorem(equiv(not(not(X1)),X1))), inference(spm,[status(thm)],[c_0_95, c_0_96])).
% 47.76/47.80 cnf(c_0_100, plain, (is_a_theorem(X1)|~is_a_theorem(not(not(X2)))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_55, c_0_50])).
% 47.76/47.80 cnf(c_0_101, plain, (is_a_theorem(not(not(or(X1,X2))))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_97, c_0_59])).
% 47.76/47.80 cnf(c_0_102, plain, (not(not(X1))=X1), inference(spm,[status(thm)],[c_0_98, c_0_99])).
% 47.76/47.80 cnf(c_0_103, plain, (is_a_theorem(X1)|~is_a_theorem(implies(or(X2,X3),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_100, c_0_101])).
% 47.76/47.80 fof(c_0_104, plain, ![X176, X177, X178]:((~r5|is_a_theorem(implies(implies(X177,X178),implies(or(X176,X177),or(X176,X178)))))&(~is_a_theorem(implies(implies(esk54_0,esk55_0),implies(or(esk53_0,esk54_0),or(esk53_0,esk55_0))))|r5)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r5])])])])).
% 47.76/47.80 cnf(c_0_105, plain, (is_a_theorem(X1)|~is_a_theorem(or(X1,X2))|~is_a_theorem(not(X2))), inference(rw,[status(thm)],[c_0_86, c_0_102])).
% 47.76/47.80 cnf(c_0_106, plain, (is_a_theorem(or(X1,or(X2,X3)))|~is_a_theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_103, c_0_67])).
% 47.76/47.80 cnf(c_0_107, plain, (is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))|~r5), inference(split_conjunct,[status(thm)],[c_0_104])).
% 47.76/47.80 cnf(c_0_108, plain, (r5), inference(split_conjunct,[status(thm)],[principia_r5])).
% 47.76/47.80 cnf(c_0_109, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_59, c_0_50])).
% 47.76/47.80 cnf(c_0_110, plain, (is_a_theorem(X1)|~is_a_theorem(not(or(X2,X3)))|~is_a_theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_105, c_0_106])).
% 47.76/47.80 cnf(c_0_111, plain, (is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_108])])).
% 47.76/47.80 cnf(c_0_112, plain, (is_a_theorem(or(X1,implies(X2,not(X1))))), inference(spm,[status(thm)],[c_0_109, c_0_48])).
% 47.76/47.80 cnf(c_0_113, plain, (is_a_theorem(X1)|~is_a_theorem(not(implies(X2,X3)))|~is_a_theorem(or(X1,X3))), inference(spm,[status(thm)],[c_0_110, c_0_50])).
% 47.76/47.80 cnf(c_0_114, plain, (is_a_theorem(implies(or(X1,X2),or(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_41, c_0_111])).
% 47.76/47.80 cnf(c_0_115, plain, (is_a_theorem(or(implies(X1,not(X2)),X2))), inference(spm,[status(thm)],[c_0_49, c_0_112])).
% 47.76/47.80 cnf(c_0_116, plain, (or(implies(X1,not(X2)),X3)=implies(and(X1,X2),X3)), inference(spm,[status(thm)],[c_0_48, c_0_69])).
% 47.76/47.80 cnf(c_0_117, plain, (is_a_theorem(X1)|~is_a_theorem(or(X1,not(X2)))|~is_a_theorem(and(X3,X2))), inference(spm,[status(thm)],[c_0_113, c_0_69])).
% 47.76/47.80 cnf(c_0_118, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_103, c_0_114])).
% 47.76/47.80 cnf(c_0_119, plain, (is_a_theorem(implies(and(X1,X2),X2))), inference(rw,[status(thm)],[c_0_115, c_0_116])).
% 47.76/47.80 cnf(c_0_120, plain, (is_a_theorem(not(X1))|~is_a_theorem(implies(X1,not(X2)))|~is_a_theorem(and(X3,X2))), inference(spm,[status(thm)],[c_0_117, c_0_50])).
% 47.76/47.80 cnf(c_0_121, plain, (is_a_theorem(not(or(X1,X2)))|~is_a_theorem(not(or(X2,X1)))), inference(spm,[status(thm)],[c_0_62, c_0_42])).
% 47.76/47.80 cnf(c_0_122, plain, (not(or(X1,not(X2)))=and(not(X1),X2)), inference(spm,[status(thm)],[c_0_69, c_0_48])).
% 47.76/47.80 cnf(c_0_123, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(or(X1,X3))|~is_a_theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_41, c_0_114])).
% 47.76/47.80 cnf(c_0_124, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(and(X3,X2))), inference(spm,[status(thm)],[c_0_118, c_0_119])).
% 47.76/47.80 cnf(c_0_125, plain, (is_a_theorem(and(X1,X1))|~is_a_theorem(and(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_51]), c_0_50]), c_0_69])).
% 47.76/47.80 cnf(c_0_126, plain, (is_a_theorem(and(not(X1),X2))|~is_a_theorem(not(implies(X2,X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_50]), c_0_122])).
% 47.76/47.80 cnf(c_0_127, plain, (is_a_theorem(or(X1,and(not(X2),X3)))|~is_a_theorem(implies(or(X2,not(X3)),X1))), inference(spm,[status(thm)],[c_0_56, c_0_122])).
% 47.76/47.80 cnf(c_0_128, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X3,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_50]), c_0_50])).
% 47.76/47.80 cnf(c_0_129, plain, (is_a_theorem(implies(implies(X1,not(X1)),not(X1)))), inference(spm,[status(thm)],[c_0_51, c_0_50])).
% 47.76/47.80 cnf(c_0_130, plain, (is_a_theorem(or(X1,implies(X2,X3)))|~is_a_theorem(equiv(X3,X2))), inference(spm,[status(thm)],[c_0_124, c_0_83])).
% 47.76/47.80 cnf(c_0_131, plain, (is_a_theorem(and(X1,X1))|~is_a_theorem(not(implies(X1,X2)))), inference(spm,[status(thm)],[c_0_125, c_0_126])).
% 47.76/47.80 cnf(c_0_132, plain, (and(X1,not(X2))=not(implies(X1,X2))), inference(spm,[status(thm)],[c_0_69, c_0_102])).
% 47.76/47.80 cnf(c_0_133, plain, (is_a_theorem(and(not(X1),X2))|~is_a_theorem(implies(or(X1,not(X2)),X3))|~is_a_theorem(not(X3))), inference(spm,[status(thm)],[c_0_55, c_0_127])).
% 47.76/47.80 cnf(c_0_134, plain, (is_a_theorem(implies(or(X1,X1),X2))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_128, c_0_51])).
% 47.76/47.80 cnf(c_0_135, plain, (and(not(not(X1)),X2)=and(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_50]), c_0_69])).
% 47.76/47.80 cnf(c_0_136, plain, (is_a_theorem(implies(X1,not(X2)))|~is_a_theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_56, c_0_50])).
% 47.76/47.80 cnf(c_0_137, plain, (is_a_theorem(implies(or(X1,X1),not(not(X1))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_85]), c_0_48])).
% 47.76/47.80 cnf(c_0_138, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(or(X1,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_56]), c_0_48])).
% 47.76/47.80 cnf(c_0_139, plain, (is_a_theorem(or(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_130, c_0_95])).
% 47.76/47.80 cnf(c_0_140, plain, (is_a_theorem(not(or(X1,X1)))|~is_a_theorem(not(or(X1,X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_48]), c_0_132]), c_0_48])).
% 47.76/47.80 cnf(c_0_141, plain, (is_a_theorem(and(X1,X1))|~is_a_theorem(or(X1,X2))|~is_a_theorem(not(X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_134]), c_0_135]), c_0_48])).
% 47.76/47.80 cnf(c_0_142, plain, (is_a_theorem(or(X1,not(or(X1,X1))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_48])).
% 47.76/47.80 cnf(c_0_143, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(not(X1))), inference(spm,[status(thm)],[c_0_71, c_0_50])).
% 47.76/47.80 cnf(c_0_144, plain, (not(and(X1,implies(X2,X3)))=implies(X1,and(X2,not(X3)))), inference(spm,[status(thm)],[c_0_39, c_0_39])).
% 47.76/47.80 cnf(c_0_145, plain, (is_a_theorem(implies(X1,and(X1,X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_51]), c_0_50]), c_0_69])).
% 47.76/47.80 cnf(c_0_146, plain, (is_a_theorem(not(not(implies(X1,X1))))), inference(spm,[status(thm)],[c_0_138, c_0_139])).
% 47.76/47.80 cnf(c_0_147, plain, (is_a_theorem(not(or(X1,X1)))|~is_a_theorem(and(not(X1),X2))), inference(spm,[status(thm)],[c_0_140, c_0_122])).
% 47.76/47.80 cnf(c_0_148, plain, (is_a_theorem(and(X1,X1))|~is_a_theorem(or(X1,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_102])).
% 47.76/47.80 cnf(c_0_149, plain, (is_a_theorem(implies(and(X1,implies(X2,X3)),X4))|~is_a_theorem(implies(X1,and(X2,not(X3))))), inference(spm,[status(thm)],[c_0_143, c_0_144])).
% 47.76/47.80 cnf(c_0_150, plain, (is_a_theorem(implies(X1,and(X1,not(not(X1)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_135]), c_0_48]), c_0_50])).
% 47.76/47.80 cnf(c_0_151, plain, (and(X1,implies(X2,not(X3)))=not(implies(X1,and(X2,X3)))), inference(spm,[status(thm)],[c_0_69, c_0_69])).
% 47.76/47.80 cnf(c_0_152, plain, (is_a_theorem(implies(X1,not(not(X2))))|~is_a_theorem(or(X2,not(X1)))), inference(spm,[status(thm)],[c_0_136, c_0_48])).
% 47.76/47.80 cnf(c_0_153, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X1))), inference(spm,[status(thm)],[c_0_100, c_0_146])).
% 47.76/47.80 cnf(c_0_154, plain, (is_a_theorem(implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_50]), c_0_50])).
% 47.76/47.80 cnf(c_0_155, plain, (is_a_theorem(not(or(X1,X1)))|~is_a_theorem(implies(X1,not(X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_148]), c_0_50])).
% 47.76/47.80 cnf(c_0_156, plain, (is_a_theorem(or(implies(X1,and(X1,X1)),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_150]), c_0_151]), c_0_48])).
% 47.76/47.80 cnf(c_0_157, plain, (or(or(X1,not(X2)),X3)=implies(and(not(X1),X2),X3)), inference(spm,[status(thm)],[c_0_48, c_0_122])).
% 47.76/47.80 cnf(c_0_158, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(or(X1,not(X2)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_41, c_0_152])).
% 47.76/47.80 cnf(c_0_159, plain, (is_a_theorem(or(X1,implies(or(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_153, c_0_154])).
% 47.76/47.80 cnf(c_0_160, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(or(X3,X1),X2))), inference(spm,[status(thm)],[c_0_128, c_0_59])).
% 47.76/47.80 cnf(c_0_161, plain, (is_a_theorem(implies(or(X1,not(X2)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_42, c_0_50])).
% 47.76/47.80 cnf(c_0_162, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,not(X2)))|~is_a_theorem(or(X1,X2))), inference(spm,[status(thm)],[c_0_110, c_0_155])).
% 47.76/47.80 cnf(c_0_163, plain, (is_a_theorem(implies(and(not(X1),or(X1,X1)),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156, c_0_48]), c_0_132]), c_0_48]), c_0_157])).
% 47.76/47.80 cnf(c_0_164, plain, (is_a_theorem(X1)|~is_a_theorem(or(X1,not(X2)))|~is_a_theorem(X2)), inference(rw,[status(thm)],[c_0_158, c_0_102])).
% 47.76/47.80 cnf(c_0_165, plain, (is_a_theorem(or(implies(or(X1,X2),X2),X1))), inference(spm,[status(thm)],[c_0_49, c_0_159])).
% 47.76/47.80 cnf(c_0_166, plain, (is_a_theorem(or(X1,implies(X1,X2)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_161]), c_0_48])).
% 47.76/47.80 cnf(c_0_167, plain, (is_a_theorem(X1)|~is_a_theorem(or(X1,and(not(X2),or(X2,X2))))), inference(spm,[status(thm)],[c_0_162, c_0_163])).
% 47.76/47.80 cnf(c_0_168, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_165]), c_0_50])).
% 47.76/47.80 cnf(c_0_169, plain, (implies(implies(implies(X1,X2),not(implies(X2,X1))),X3)=or(equiv(X1,X2),X3)), inference(spm,[status(thm)],[c_0_81, c_0_83])).
% 47.76/47.80 cnf(c_0_170, plain, (is_a_theorem(or(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_49, c_0_166])).
% 47.76/47.80 cnf(c_0_171, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(or(X3,X2))|~is_a_theorem(implies(X3,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_56]), c_0_48])).
% 47.76/47.80 cnf(c_0_172, plain, (is_a_theorem(X1)|~is_a_theorem(or(X1,not(implies(X2,and(X2,X2)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167, c_0_50]), c_0_135]), c_0_151])).
% 47.76/47.80 cnf(c_0_173, plain, (is_a_theorem(or(equiv(X1,X2),not(implies(X2,X1))))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_168, c_0_169])).
% 47.76/47.80 cnf(c_0_174, plain, (is_a_theorem(implies(and(X1,X2),X1))), inference(spm,[status(thm)],[c_0_170, c_0_116])).
% 47.76/47.80 cnf(c_0_175, plain, (is_a_theorem(not(X1))|~is_a_theorem(implies(X1,not(X2)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_164, c_0_50])).
% 47.76/47.80 cnf(c_0_176, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(or(X3,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171, c_0_50]), c_0_48])).
% 47.76/47.80 cnf(c_0_177, plain, (is_a_theorem(equiv(and(X1,X1),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_173]), c_0_174])])).
% 47.76/47.80 cnf(c_0_178, plain, (is_a_theorem(and(X1,X2))|~is_a_theorem(X2)|~is_a_theorem(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_168]), c_0_69])).
% 47.76/47.80 cnf(c_0_179, plain, (is_a_theorem(or(X1,and(X2,X3)))|~is_a_theorem(implies(implies(X2,not(X3)),X1))), inference(spm,[status(thm)],[c_0_56, c_0_69])).
% 47.76/47.80 cnf(c_0_180, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(or(or(X2,X2),X1))), inference(spm,[status(thm)],[c_0_176, c_0_51])).
% 47.76/47.80 cnf(c_0_181, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(implies(implies(X2,X3),X1))), inference(spm,[status(thm)],[c_0_171, c_0_170])).
% 47.76/47.80 cnf(c_0_182, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_50]), c_0_50])).
% 47.76/47.80 cnf(c_0_183, plain, (not(and(X1,X2))=implies(X1,not(X2))), inference(spm,[status(thm)],[c_0_39, c_0_102])).
% 47.76/47.80 cnf(c_0_184, plain, (and(X1,X1)=X1), inference(spm,[status(thm)],[c_0_98, c_0_177])).
% 47.76/47.80 cnf(c_0_185, plain, (is_a_theorem(equiv(X1,X2))|~is_a_theorem(implies(X2,X1))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_178, c_0_83])).
% 47.76/47.80 cnf(c_0_186, plain, (is_a_theorem(implies(and(X1,X2),and(X3,X4)))|~is_a_theorem(implies(implies(X3,not(X4)),implies(X1,not(X2))))), inference(spm,[status(thm)],[c_0_179, c_0_116])).
% 47.76/47.80 cnf(c_0_187, plain, (is_a_theorem(implies(implies(X1,not(X2)),implies(X2,not(X1))))), inference(spm,[status(thm)],[c_0_161, c_0_50])).
% 47.76/47.80 cnf(c_0_188, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,or(X2,X2)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_56]), c_0_50])).
% 47.76/47.80 cnf(c_0_189, plain, (is_a_theorem(or(implies(implies(X1,X2),implies(X1,X3)),X2))), inference(spm,[status(thm)],[c_0_181, c_0_182])).
% 47.76/47.80 cnf(c_0_190, plain, (implies(X1,not(X1))=not(X1)), inference(spm,[status(thm)],[c_0_183, c_0_184])).
% 47.76/47.80 cnf(c_0_191, plain, (X1=X2|~is_a_theorem(implies(X2,X1))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_98, c_0_185])).
% 47.76/47.80 cnf(c_0_192, plain, (is_a_theorem(implies(and(X1,X2),and(X2,X1)))), inference(spm,[status(thm)],[c_0_186, c_0_187])).
% 47.76/47.80 cnf(c_0_193, plain, (is_a_theorem(implies(or(X1,X2),X3))|~is_a_theorem(implies(or(X2,X1),X3))), inference(spm,[status(thm)],[c_0_128, c_0_42])).
% 47.76/47.80 cnf(c_0_194, plain, (is_a_theorem(implies(or(X1,X2),X1))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_188, c_0_114])).
% 47.76/47.80 cnf(c_0_195, plain, (is_a_theorem(implies(and(implies(X1,X2),X1),X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189, c_0_190]), c_0_116])).
% 47.76/47.80 cnf(c_0_196, plain, (and(X1,X2)=and(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_192]), c_0_192])])).
% 47.76/47.80 cnf(c_0_197, plain, (is_a_theorem(implies(X1,or(X1,X2)))), inference(spm,[status(thm)],[c_0_160, c_0_42])).
% 47.76/47.80 cnf(c_0_198, plain, (is_a_theorem(implies(or(X1,X2),X2))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_193, c_0_194])).
% 47.76/47.80 cnf(c_0_199, plain, (is_a_theorem(implies(and(X1,implies(X1,X2)),X2))), inference(rw,[status(thm)],[c_0_195, c_0_196])).
% 47.76/47.80 cnf(c_0_200, plain, (is_a_theorem(implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_50]), c_0_50])).
% 47.76/47.80 cnf(c_0_201, plain, (or(X1,X2)=X1|~is_a_theorem(implies(X2,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_194]), c_0_197])])).
% 47.76/47.80 fof(c_0_202, plain, ![X106, X107]:((~and_3|is_a_theorem(implies(X106,implies(X107,and(X106,X107)))))&(~is_a_theorem(implies(esk18_0,implies(esk19_0,and(esk18_0,esk19_0))))|and_3)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[and_3])])])])).
% 47.76/47.80 fof(c_0_203, negated_conjecture, ~and_3, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[hilbert_and_3])])).
% 47.76/47.80 cnf(c_0_204, plain, (or(X1,X2)=X2|~is_a_theorem(implies(X1,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_198]), c_0_59])])).
% 47.76/47.80 cnf(c_0_205, plain, (is_a_theorem(implies(X1,implies(X2,and(X2,X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_199]), c_0_151]), c_0_102])).
% 47.76/47.80 cnf(c_0_206, plain, (or(X1,implies(X2,X3))=implies(X2,or(X1,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_200]), c_0_154])])).
% 47.76/47.80 cnf(c_0_207, plain, (or(X1,and(X2,X1))=X1), inference(spm,[status(thm)],[c_0_201, c_0_119])).
% 47.76/47.80 cnf(c_0_208, plain, (and_3|~is_a_theorem(implies(esk18_0,implies(esk19_0,and(esk18_0,esk19_0))))), inference(split_conjunct,[status(thm)],[c_0_202])).
% 47.76/47.80 cnf(c_0_209, negated_conjecture, (~and_3), inference(split_conjunct,[status(thm)],[c_0_203])).
% 47.76/47.80 cnf(c_0_210, plain, (implies(X1,and(X1,X2))=implies(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204, c_0_205]), c_0_206]), c_0_207])).
% 47.76/47.80 cnf(c_0_211, plain, (~is_a_theorem(implies(esk18_0,implies(esk19_0,and(esk18_0,esk19_0))))), inference(sr,[status(thm)],[c_0_208, c_0_209])).
% 47.76/47.80 cnf(c_0_212, plain, (implies(X1,and(X2,X1))=implies(X1,X2)), inference(spm,[status(thm)],[c_0_210, c_0_196])).
% 47.76/47.80 cnf(c_0_213, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_211, c_0_212]), c_0_109])]), ['proof']).
% 47.76/47.80 % SZS output end Proof
% 47.76/47.80 % User time : 45.299 s
% 47.76/47.80 % System time : 2.006 s
% 47.76/47.80 % Total time : 47.305 s
% 47.76/47.80
%------------------------------------------------------------------------------