%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL475+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n006.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 11:21:03 AM UTC 2026
% Result : Theorem 153.65s 153.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL475+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 13:39:01 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 153.65/153.78 % Version : CSI_E---1.1
% 153.65/153.78 % Problem : theBenchmark.p
% 153.65/153.78 % Proof found!
% 153.65/153.78 % SZS status Theorem for theBenchmark.p
% 153.65/153.78 % SZS output start Proof
% 153.65/153.78 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)).
% 153.65/153.78 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)).
% 153.65/153.78 fof(cn1, axiom, (cn1<=>![X4, X5, X6]:is_a_theorem(implies(implies(X4,X5),implies(implies(X5,X6),implies(X4,X6))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', cn1)).
% 153.65/153.78 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)).
% 153.65/153.78 fof(principia_op_implies_or, axiom, op_implies_or, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', principia_op_implies_or)).
% 153.65/153.78 fof(luka_modus_ponens, axiom, modus_ponens, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax', luka_modus_ponens)).
% 153.65/153.78 fof(luka_cn1, axiom, cn1, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax', luka_cn1)).
% 153.65/153.78 fof(cn2, axiom, (cn2<=>![X4, X5]:is_a_theorem(implies(X4,implies(not(X4),X5)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', cn2)).
% 153.65/153.78 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)).
% 153.65/153.78 fof(principia_op_and, axiom, op_and, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', principia_op_and)).
% 153.65/153.78 fof(luka_cn2, axiom, cn2, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax', luka_cn2)).
% 153.65/153.78 fof(luka_op_or, axiom, op_or, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax', luka_op_or)).
% 153.65/153.78 fof(cn3, axiom, (cn3<=>![X4]:is_a_theorem(implies(implies(not(X4),X4),X4))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', cn3)).
% 153.65/153.78 fof(luka_cn3, axiom, cn3, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax', luka_cn3)).
% 153.65/153.78 fof(r1, axiom, (r1<=>![X4]:is_a_theorem(implies(or(X4,X4),X4))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', r1)).
% 153.65/153.78 fof(principia_r1, conjecture, r1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', principia_r1)).
% 153.65/153.78 fof(c_0_16, 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])])])).
% 153.65/153.78 fof(c_0_17, 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])])])])])).
% 153.65/153.78 fof(c_0_18, plain, ![X148, X149, X150]:((~cn1|is_a_theorem(implies(implies(X148,X149),implies(implies(X149,X150),implies(X148,X150)))))&(~is_a_theorem(implies(implies(esk39_0,esk40_0),implies(implies(esk40_0,esk41_0),implies(esk39_0,esk41_0))))|cn1)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cn1])])])])).
% 153.65/153.78 fof(c_0_19, 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])])])).
% 153.65/153.78 cnf(c_0_20, plain, (implies(X1,X2)=or(not(X1),X2)|~op_implies_or), inference(split_conjunct,[status(thm)],[c_0_16])).
% 153.65/153.78 cnf(c_0_21, plain, (op_implies_or), inference(split_conjunct,[status(thm)],[principia_op_implies_or])).
% 153.65/153.78 cnf(c_0_22, plain, (is_a_theorem(X2)|~modus_ponens|~is_a_theorem(X1)|~is_a_theorem(implies(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_17])).
% 153.65/153.78 cnf(c_0_23, plain, (modus_ponens), inference(split_conjunct,[status(thm)],[luka_modus_ponens])).
% 153.65/153.78 cnf(c_0_24, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))|~cn1), inference(split_conjunct,[status(thm)],[c_0_18])).
% 153.65/153.78 cnf(c_0_25, plain, (cn1), inference(split_conjunct,[status(thm)],[luka_cn1])).
% 153.65/153.78 fof(c_0_26, plain, ![X154, X155]:((~cn2|is_a_theorem(implies(X154,implies(not(X154),X155))))&(~is_a_theorem(implies(esk42_0,implies(not(esk42_0),esk43_0)))|cn2)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cn2])])])])).
% 153.65/153.78 fof(c_0_27, 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])])])).
% 153.65/153.78 cnf(c_0_28, plain, (and(X1,X2)=not(or(not(X1),not(X2)))|~op_and), inference(split_conjunct,[status(thm)],[c_0_19])).
% 153.65/153.78 cnf(c_0_29, plain, (or(not(X1),X2)=implies(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 153.65/153.78 cnf(c_0_30, plain, (op_and), inference(split_conjunct,[status(thm)],[principia_op_and])).
% 153.65/153.78 cnf(c_0_31, 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_22, c_0_23])])).
% 153.65/153.78 cnf(c_0_32, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 153.65/153.78 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(not(X1),X2)))|~cn2), inference(split_conjunct,[status(thm)],[c_0_26])).
% 153.65/153.78 cnf(c_0_34, plain, (cn2), inference(split_conjunct,[status(thm)],[luka_cn2])).
% 153.65/153.78 cnf(c_0_35, plain, (or(X1,X2)=not(and(not(X1),not(X2)))|~op_or), inference(split_conjunct,[status(thm)],[c_0_27])).
% 153.65/153.78 cnf(c_0_36, plain, (and(X1,X2)=not(implies(X1,not(X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29]), c_0_30])])).
% 153.65/153.78 cnf(c_0_37, plain, (op_or), inference(split_conjunct,[status(thm)],[luka_op_or])).
% 153.65/153.78 cnf(c_0_38, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 153.65/153.78 cnf(c_0_39, plain, (is_a_theorem(implies(X1,implies(not(X1),X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 153.65/153.78 fof(c_0_40, plain, ![X158]:((~cn3|is_a_theorem(implies(implies(not(X158),X158),X158)))&(~is_a_theorem(implies(implies(not(esk44_0),esk44_0),esk44_0))|cn3)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cn3])])])])).
% 153.65/153.78 cnf(c_0_41, plain, (not(not(implies(not(X1),not(not(X2)))))=or(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36]), c_0_37])])).
% 153.65/153.78 cnf(c_0_42, plain, (is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 153.65/153.78 cnf(c_0_43, plain, (is_a_theorem(implies(implies(not(X1),X1),X1))|~cn3), inference(split_conjunct,[status(thm)],[c_0_40])).
% 153.65/153.78 cnf(c_0_44, plain, (cn3), inference(split_conjunct,[status(thm)],[luka_cn3])).
% 153.65/153.78 cnf(c_0_45, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_31, c_0_39])).
% 153.65/153.78 cnf(c_0_46, plain, (or(or(X1,X2),X3)=implies(not(implies(not(X1),not(not(X2)))),X3)), inference(spm,[status(thm)],[c_0_29, c_0_41])).
% 153.65/153.78 cnf(c_0_47, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(not(X1),X3),X2))), inference(spm,[status(thm)],[c_0_31, c_0_42])).
% 153.65/153.78 cnf(c_0_48, plain, (is_a_theorem(implies(implies(not(X1),X1),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 153.65/153.78 cnf(c_0_49, plain, (is_a_theorem(or(or(X1,X2),X3))|~is_a_theorem(implies(not(X1),not(not(X2))))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 153.65/153.78 cnf(c_0_50, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 153.65/153.78 cnf(c_0_51, plain, (is_a_theorem(or(implies(X1,X1),X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_29])).
% 153.65/153.78 cnf(c_0_52, plain, (or(implies(X1,X2),X3)=implies(not(implies(not(not(X1)),not(not(X2)))),X3)), inference(spm,[status(thm)],[c_0_46, c_0_29])).
% 153.65/153.78 cnf(c_0_53, plain, (is_a_theorem(implies(not(implies(not(not(X1)),not(not(X1)))),X2))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
% 153.65/153.78 cnf(c_0_54, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(implies(not(not(X3)),not(not(X3)))),X2)))), inference(spm,[status(thm)],[c_0_38, c_0_53])).
% 153.65/153.78 cnf(c_0_55, plain, (is_a_theorem(implies(implies(X1,X2),or(implies(X3,X3),X2)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_46]), c_0_29])).
% 153.65/153.78 cnf(c_0_56, plain, (is_a_theorem(implies(implies(implies(or(X1,X2),X3),X4),or(or(X1,X2),X4)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_46]), c_0_41])).
% 153.65/153.78 cnf(c_0_57, plain, (is_a_theorem(implies(X1,or(implies(X2,X2),X3)))), inference(spm,[status(thm)],[c_0_47, c_0_55])).
% 153.65/153.78 cnf(c_0_58, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_31, c_0_48])).
% 153.65/153.78 cnf(c_0_59, plain, (is_a_theorem(or(or(X1,X2),X3))|~is_a_theorem(implies(implies(or(X1,X2),X4),X3))), inference(spm,[status(thm)],[c_0_31, c_0_56])).
% 153.65/153.78 cnf(c_0_60, plain, (is_a_theorem(implies(implies(or(implies(X1,X1),X2),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_38, c_0_57])).
% 153.65/153.78 cnf(c_0_61, plain, (is_a_theorem(implies(not(X1),not(not(X2))))|~is_a_theorem(or(or(X1,X2),implies(not(X1),not(not(X2)))))), inference(spm,[status(thm)],[c_0_58, c_0_46])).
% 153.65/153.78 cnf(c_0_62, plain, (is_a_theorem(or(or(implies(X1,X1),X2),implies(X3,X4)))), inference(spm,[status(thm)],[c_0_59, c_0_60])).
% 153.65/153.78 cnf(c_0_63, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2)))), inference(spm,[status(thm)],[c_0_38, c_0_48])).
% 153.65/153.78 cnf(c_0_64, plain, (is_a_theorem(implies(not(implies(X1,X1)),not(not(X2))))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
% 153.65/153.78 cnf(c_0_65, plain, (is_a_theorem(implies(implies(not(X1),X1),X2))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_31, c_0_63])).
% 153.65/153.78 cnf(c_0_66, plain, (is_a_theorem(implies(not(implies(X1,X1)),or(X2,X3)))), inference(spm,[status(thm)],[c_0_64, c_0_41])).
% 153.65/153.78 cnf(c_0_67, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X2),X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_31, c_0_65])).
% 153.65/153.78 cnf(c_0_68, plain, (is_a_theorem(implies(not(implies(X1,X1)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_66, c_0_29])).
% 153.65/153.78 cnf(c_0_69, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X1))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 153.65/153.78 cnf(c_0_70, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(not(X1),X3))))), inference(spm,[status(thm)],[c_0_47, c_0_32])).
% 153.65/153.78 cnf(c_0_71, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(implies(X3,X3)),X2)))), inference(spm,[status(thm)],[c_0_69, c_0_70])).
% 153.65/153.78 cnf(c_0_72, plain, (is_a_theorem(implies(implies(implies(implies(not(X1),X1),X2),X3),implies(implies(X1,X2),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_63])).
% 153.65/153.78 cnf(c_0_73, plain, (is_a_theorem(implies(X1,implies(not(implies(X2,X2)),X3)))), inference(spm,[status(thm)],[c_0_47, c_0_71])).
% 153.65/153.78 cnf(c_0_74, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(implies(implies(not(X1),X1),X2),X3))), inference(spm,[status(thm)],[c_0_31, c_0_72])).
% 153.65/153.78 cnf(c_0_75, plain, (is_a_theorem(implies(implies(implies(not(implies(X1,X1)),X2),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_38, c_0_73])).
% 153.65/153.78 cnf(c_0_76, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))), inference(spm,[status(thm)],[c_0_74, c_0_75])).
% 153.65/153.78 cnf(c_0_77, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X3),X2))), inference(spm,[status(thm)],[c_0_31, c_0_76])).
% 153.65/153.78 cnf(c_0_78, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X4),or(implies(X1,X2),X4)))), inference(spm,[status(thm)],[c_0_56, c_0_29])).
% 153.65/153.78 cnf(c_0_79, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_77, c_0_63])).
% 153.65/153.78 cnf(c_0_80, plain, (is_a_theorem(or(implies(X1,X2),X3))|~is_a_theorem(implies(implies(implies(X1,X2),X4),X3))), inference(spm,[status(thm)],[c_0_31, c_0_78])).
% 153.65/153.78 cnf(c_0_81, plain, (is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),implies(X3,X2)))), inference(spm,[status(thm)],[c_0_38, c_0_79])).
% 153.65/153.78 cnf(c_0_82, plain, (is_a_theorem(implies(not(not(X1)),not(not(X2))))|~is_a_theorem(or(implies(X1,X2),implies(not(not(X1)),not(not(X2)))))), inference(spm,[status(thm)],[c_0_61, c_0_29])).
% 153.65/153.78 cnf(c_0_83, plain, (is_a_theorem(or(implies(implies(not(X1),X1),X1),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_80, c_0_81])).
% 153.65/153.78 cnf(c_0_84, plain, (is_a_theorem(implies(not(not(implies(not(X1),X1))),not(not(X1))))), inference(spm,[status(thm)],[c_0_82, c_0_83])).
% 153.65/153.78 cnf(c_0_85, plain, (is_a_theorem(implies(implies(not(X1),X1),not(not(not(not(X1))))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_41]), c_0_29])).
% 153.65/153.78 cnf(c_0_86, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X4),X2),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_76])).
% 153.65/153.78 cnf(c_0_87, plain, (is_a_theorem(implies(X1,not(not(not(not(X1))))))), inference(spm,[status(thm)],[c_0_47, c_0_85])).
% 153.65/153.78 cnf(c_0_88, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2)))), inference(spm,[status(thm)],[c_0_74, c_0_86])).
% 153.65/153.78 cnf(c_0_89, plain, (not(not(implies(or(X1,X2),not(not(X3)))))=implies(implies(not(X1),not(not(X2))),X3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_41]), c_0_29])).
% 153.65/153.78 cnf(c_0_90, plain, (is_a_theorem(implies(X1,not(not(not(not(implies(not(X1),X2)))))))), inference(spm,[status(thm)],[c_0_47, c_0_87])).
% 153.65/153.78 cnf(c_0_91, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3)))), inference(spm,[status(thm)],[c_0_77, c_0_88])).
% 153.65/153.78 cnf(c_0_92, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4)))), inference(spm,[status(thm)],[c_0_38, c_0_32])).
% 153.65/153.78 cnf(c_0_93, plain, (is_a_theorem(implies(implies(implies(not(X1),not(not(X2))),X3),not(not(X4))))|~is_a_theorem(or(implies(implies(or(X1,X2),not(not(X3))),X4),implies(implies(implies(not(X1),not(not(X2))),X3),not(not(X4)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_89]), c_0_29])).
% 153.65/153.78 cnf(c_0_94, plain, (is_a_theorem(or(implies(X1,X2),implies(implies(implies(X3,X3),X2),X4)))), inference(spm,[status(thm)],[c_0_80, c_0_86])).
% 153.65/153.78 cnf(c_0_95, plain, (is_a_theorem(implies(X1,not(not(or(X1,X2)))))), inference(spm,[status(thm)],[c_0_90, c_0_41])).
% 153.65/153.78 cnf(c_0_96, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,X2),X3),X3),X1))), inference(spm,[status(thm)],[c_0_67, c_0_91])).
% 153.65/153.78 cnf(c_0_97, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X4),implies(implies(implies(implies(not(X1),X1),X2),X3),X4)))), inference(spm,[status(thm)],[c_0_38, c_0_72])).
% 153.65/153.78 cnf(c_0_98, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))), inference(spm,[status(thm)],[c_0_31, c_0_92])).
% 153.65/153.78 cnf(c_0_99, plain, (is_a_theorem(implies(implies(implies(not(not(X1)),not(not(X1))),X2),not(not(X2))))), inference(spm,[status(thm)],[c_0_93, c_0_94])).
% 153.65/153.78 cnf(c_0_100, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(not(X3),X3),X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_38, c_0_65])).
% 153.65/153.78 cnf(c_0_101, plain, (is_a_theorem(implies(implies(not(not(or(X1,X2))),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_38, c_0_95])).
% 153.65/153.78 cnf(c_0_102, plain, (is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2))), inference(spm,[status(thm)],[c_0_96, c_0_97])).
% 153.65/153.78 cnf(c_0_103, plain, (is_a_theorem(implies(implies(X1,not(not(X2))),not(not(implies(X1,not(not(X2)))))))), inference(spm,[status(thm)],[c_0_98, c_0_99])).
% 153.65/153.78 cnf(c_0_104, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X2)))), inference(spm,[status(thm)],[c_0_100, c_0_48])).
% 153.65/153.78 cnf(c_0_105, plain, (is_a_theorem(implies(not(or(X1,X2)),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_47, c_0_101])).
% 153.65/153.78 cnf(c_0_106, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_98, c_0_102])).
% 153.65/153.78 cnf(c_0_107, plain, (is_a_theorem(implies(X1,or(X1,X2)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_103]), c_0_41])).
% 153.65/153.78 cnf(c_0_108, plain, (is_a_theorem(implies(X1,implies(implies(not(implies(not(X2),X2)),implies(not(X2),X2)),X2)))), inference(spm,[status(thm)],[c_0_77, c_0_104])).
% 153.65/153.78 cnf(c_0_109, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(X3),X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_38, c_0_45])).
% 153.65/153.78 cnf(c_0_110, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(or(X1,X4)),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_105])).
% 153.65/153.78 cnf(c_0_111, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(not(X2),X2)))), inference(spm,[status(thm)],[c_0_31, c_0_106])).
% 153.65/153.78 cnf(c_0_112, plain, (is_a_theorem(implies(implies(or(X1,X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_38, c_0_107])).
% 153.65/153.78 cnf(c_0_113, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(not(implies(not(X2),X2)),implies(not(X2),X2)),X2),X1))), inference(spm,[status(thm)],[c_0_67, c_0_108])).
% 153.65/153.78 cnf(c_0_114, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(not(X1),X4),X2),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_42])).
% 153.65/153.78 cnf(c_0_115, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_47, c_0_109])).
% 153.65/153.78 cnf(c_0_116, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(implies(X1,X3)),X2)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_110]), c_0_29])).
% 153.65/153.78 cnf(c_0_117, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_29])).
% 153.65/153.78 cnf(c_0_118, plain, (is_a_theorem(implies(implies(implies(not(not(implies(not(X1),X1))),X2),implies(not(X1),X1)),X1))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
% 153.65/153.78 cnf(c_0_119, plain, (is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X4,X3)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_38, c_0_115])).
% 153.65/153.78 cnf(c_0_120, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_111, c_0_116])).
% 153.65/153.78 cnf(c_0_121, plain, (is_a_theorem(implies(implies(X1,not(X1)),not(X1)))), inference(spm,[status(thm)],[c_0_74, c_0_117])).
% 153.65/153.78 cnf(c_0_122, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(not(not(implies(not(X1),X1))),X2),implies(not(X1),X1)))), inference(spm,[status(thm)],[c_0_31, c_0_118])).
% 153.65/153.78 cnf(c_0_123, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_74, c_0_119])).
% 153.65/153.78 cnf(c_0_124, plain, (is_a_theorem(not(not(or(X1,X2))))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_31, c_0_95])).
% 153.65/153.78 cnf(c_0_125, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_98, c_0_120])).
% 153.65/153.78 cnf(c_0_126, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X1,not(X1)),X2)))), inference(spm,[status(thm)],[c_0_38, c_0_121])).
% 153.65/153.78 cnf(c_0_127, plain, (is_a_theorem(X1)|~is_a_theorem(not(not(implies(not(X1),X1))))), inference(spm,[status(thm)],[c_0_122, c_0_123])).
% 153.65/153.78 cnf(c_0_128, plain, (is_a_theorem(not(not(implies(X1,X2))))|~is_a_theorem(not(X1))), inference(spm,[status(thm)],[c_0_124, c_0_29])).
% 153.65/153.78 cnf(c_0_129, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_31, c_0_125])).
% 153.65/153.78 cnf(c_0_130, plain, (is_a_theorem(implies(X1,implies(implies(X2,not(X2)),not(X2))))), inference(spm,[status(thm)],[c_0_77, c_0_126])).
% 153.65/153.78 cnf(c_0_131, plain, (is_a_theorem(X1)|~is_a_theorem(not(not(X1)))), inference(spm,[status(thm)],[c_0_127, c_0_128])).
% 153.65/153.78 cnf(c_0_132, plain, (is_a_theorem(implies(implies(implies(implies(X1,not(X1)),not(X1)),X2),X2))), inference(spm,[status(thm)],[c_0_129, c_0_130])).
% 153.65/153.78 cnf(c_0_133, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(not(X1))), inference(spm,[status(thm)],[c_0_131, c_0_128])).
% 153.65/153.78 cnf(c_0_134, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(not(X2),X2),X2),X1))), inference(spm,[status(thm)],[c_0_67, c_0_79])).
% 153.65/153.78 cnf(c_0_135, plain, (is_a_theorem(implies(implies(X1,implies(X2,not(X2))),implies(X1,not(X2))))), inference(spm,[status(thm)],[c_0_98, c_0_132])).
% 153.65/153.78 cnf(c_0_136, plain, (is_a_theorem(implies(not(or(X1,X2)),X3))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_133, c_0_124])).
% 153.65/153.78 cnf(c_0_137, plain, (is_a_theorem(implies(implies(not(implies(X1,not(X1))),implies(X1,not(X1))),not(X1)))), inference(spm,[status(thm)],[c_0_134, c_0_135])).
% 153.65/153.78 cnf(c_0_138, plain, (is_a_theorem(X1)|~is_a_theorem(implies(or(X2,X3),X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_67, c_0_136])).
% 153.65/153.78 cnf(c_0_139, plain, (is_a_theorem(implies(or(or(X1,X1),implies(not(X1),not(not(X1)))),not(not(X1))))), inference(spm,[status(thm)],[c_0_137, c_0_46])).
% 153.65/153.78 cnf(c_0_140, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_138, c_0_139])).
% 153.65/153.78 cnf(c_0_141, plain, (is_a_theorem(or(implies(implies(not(X1),not(not(X2))),X3),X4))|~is_a_theorem(implies(or(X1,X2),not(not(X3))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_41]), c_0_29])).
% 153.65/153.78 fof(c_0_142, 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])])])])).
% 153.65/153.78 fof(c_0_143, negated_conjecture, ~r1, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[principia_r1])])).
% 153.65/153.78 cnf(c_0_144, plain, (is_a_theorem(X1)|~is_a_theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_131, c_0_140])).
% 153.65/153.78 cnf(c_0_145, plain, (is_a_theorem(or(implies(implies(not(or(X1,X1)),or(X1,X1)),X1),X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_139]), c_0_41])).
% 153.65/153.78 cnf(c_0_146, plain, (r1|~is_a_theorem(implies(or(esk45_0,esk45_0),esk45_0))), inference(split_conjunct,[status(thm)],[c_0_142])).
% 153.65/153.78 cnf(c_0_147, negated_conjecture, (~r1), inference(split_conjunct,[status(thm)],[c_0_143])).
% 153.65/153.78 cnf(c_0_148, plain, (is_a_theorem(implies(implies(not(or(X1,X1)),or(X1,X1)),X1))), inference(spm,[status(thm)],[c_0_144, c_0_145])).
% 153.65/153.78 cnf(c_0_149, plain, (~is_a_theorem(implies(or(esk45_0,esk45_0),esk45_0))), inference(sr,[status(thm)],[c_0_146, c_0_147])).
% 153.65/153.78 cnf(c_0_150, plain, (is_a_theorem(implies(or(X1,X1),X1))), inference(spm,[status(thm)],[c_0_47, c_0_148])).
% 153.65/153.78 cnf(c_0_151, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149, c_0_150])]), ['proof']).
% 153.65/153.78 % SZS output end Proof
% 153.65/153.78 % User time : 150.339 s
% 153.65/153.78 % System time : 2.941 s
% 153.65/153.78 % Total time : 153.280 s
% 153.65/153.78
%------------------------------------------------------------------------------