%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL511+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n010.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 11:21:06 AM UTC 2026
% Result : Theorem 149.87s 202.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL511+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.34 % Computer : n010.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Fri Sep 4 16:32:38 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.12/0.46 start to proof:theBenchmark.p
% 149.87/202.31 % Version : CSI_E---1.1
% 149.87/202.31 % Problem : theBenchmark.p
% 149.87/202.31 % Proof found!
% 149.87/202.31 % SZS status Theorem for theBenchmark.p
% 149.87/202.31 % SZS output start Proof
% 149.87/202.31 fof(op_implies_and, axiom, (op_implies_and=>![X1, X2]:implies(X1,X2)=not(and(X1,not(X2)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax', op_implies_and)).
% 149.87/202.31 fof(kn3, axiom, (kn3<=>![X4, X5, X6]:is_a_theorem(implies(implies(X4,X5),implies(not(and(X5,X6)),not(and(X6,X4)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', kn3)).
% 149.87/202.31 fof(op_or, axiom, (op_or=>![X1, X2]:or(X1,X2)=not(and(not(X1),not(X2)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax', op_or)).
% 149.87/202.31 fof(rosser_op_implies_and, axiom, op_implies_and, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_op_implies_and)).
% 149.87/202.31 fof(rosser_kn3, axiom, kn3, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_kn3)).
% 149.87/202.31 fof(rosser_op_or, axiom, op_or, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_op_or)).
% 149.87/202.31 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/sandbox/benchmark/Axioms/LCL006+0.ax', modus_ponens)).
% 149.87/202.31 fof(rosser_modus_ponens, axiom, modus_ponens, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_modus_ponens)).
% 149.87/202.31 fof(kn1, axiom, (kn1<=>![X4]:is_a_theorem(implies(X4,and(X4,X4)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', kn1)).
% 149.87/202.31 fof(rosser_kn1, axiom, kn1, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_kn1)).
% 149.87/202.31 fof(kn2, axiom, (kn2<=>![X4, X5]:is_a_theorem(implies(and(X4,X5),X4))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', kn2)).
% 149.87/202.31 fof(rosser_kn2, axiom, kn2, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_kn2)).
% 149.87/202.31 fof(op_equiv, axiom, (op_equiv=>![X1, X2]:equiv(X1,X2)=and(implies(X1,X2),implies(X2,X1))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax', op_equiv)).
% 149.87/202.31 fof(substitution_of_equivalents, axiom, (substitution_of_equivalents<=>![X1, X2]:(is_a_theorem(equiv(X1,X2))=>X1=X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', substitution_of_equivalents)).
% 149.87/202.31 fof(rosser_op_equiv, axiom, op_equiv, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', rosser_op_equiv)).
% 149.87/202.31 fof(use_substitution_of_equivalents, axiom, substitution_of_equivalents, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax', use_substitution_of_equivalents)).
% 149.87/202.31 fof(or_3, axiom, (or_3<=>![X1, X2, X3]:is_a_theorem(implies(implies(X1,X3),implies(implies(X2,X3),implies(or(X1,X2),X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', or_3)).
% 149.87/202.31 fof(hilbert_or_3, conjecture, or_3, file('/export/starexec/sandbox/benchmark/theBenchmark.p', hilbert_or_3)).
% 149.87/202.31 fof(c_0_18, 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])])])).
% 149.87/202.31 fof(c_0_19, plain, ![X142, X143, X144]:((~kn3|is_a_theorem(implies(implies(X142,X143),implies(not(and(X143,X144)),not(and(X144,X142))))))&(~is_a_theorem(implies(implies(esk36_0,esk37_0),implies(not(and(esk37_0,esk38_0)),not(and(esk38_0,esk36_0)))))|kn3)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kn3])])])])).
% 149.87/202.31 fof(c_0_20, 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])])])).
% 149.87/202.31 cnf(c_0_21, plain, (implies(X1,X2)=not(and(X1,not(X2)))|~op_implies_and), inference(split_conjunct,[status(thm)],[c_0_18])).
% 149.87/202.31 cnf(c_0_22, plain, (op_implies_and), inference(split_conjunct,[status(thm)],[rosser_op_implies_and])).
% 149.87/202.31 cnf(c_0_23, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(and(X2,X3)),not(and(X3,X1)))))|~kn3), inference(split_conjunct,[status(thm)],[c_0_19])).
% 149.87/202.31 cnf(c_0_24, plain, (kn3), inference(split_conjunct,[status(thm)],[rosser_kn3])).
% 149.87/202.31 cnf(c_0_25, plain, (or(X1,X2)=not(and(not(X1),not(X2)))|~op_or), inference(split_conjunct,[status(thm)],[c_0_20])).
% 149.87/202.31 cnf(c_0_26, plain, (not(and(X1,not(X2)))=implies(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 149.87/202.31 cnf(c_0_27, plain, (op_or), inference(split_conjunct,[status(thm)],[rosser_op_or])).
% 149.87/202.31 fof(c_0_28, 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])])])])])).
% 149.87/202.31 cnf(c_0_29, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(and(X2,X3)),not(and(X3,X1)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 149.87/202.31 cnf(c_0_30, plain, (or(X1,X2)=implies(not(X1),X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26]), c_0_27])])).
% 149.87/202.31 cnf(c_0_31, plain, (is_a_theorem(X2)|~modus_ponens|~is_a_theorem(X1)|~is_a_theorem(implies(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_28])).
% 149.87/202.31 cnf(c_0_32, plain, (modus_ponens), inference(split_conjunct,[status(thm)],[rosser_modus_ponens])).
% 149.87/202.31 cnf(c_0_33, plain, (is_a_theorem(implies(implies(X1,X2),or(and(X2,X3),not(and(X3,X1)))))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 149.87/202.31 cnf(c_0_34, 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_31, c_0_32])])).
% 149.87/202.31 cnf(c_0_35, plain, (is_a_theorem(implies(or(X1,X2),or(and(X2,X3),implies(X3,X1))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_30]), c_0_26])).
% 149.87/202.31 fof(c_0_36, plain, ![X136]:((~kn1|is_a_theorem(implies(X136,and(X136,X136))))&(~is_a_theorem(implies(esk33_0,and(esk33_0,esk33_0)))|kn1)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kn1])])])])).
% 149.87/202.31 cnf(c_0_37, plain, (is_a_theorem(or(and(X1,X2),implies(X2,X3)))|~is_a_theorem(or(X3,X1))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 149.87/202.31 cnf(c_0_38, plain, (is_a_theorem(implies(X1,and(X1,X1)))|~kn1), inference(split_conjunct,[status(thm)],[c_0_36])).
% 149.87/202.31 cnf(c_0_39, plain, (kn1), inference(split_conjunct,[status(thm)],[rosser_kn1])).
% 149.87/202.31 cnf(c_0_40, plain, (is_a_theorem(or(and(X1,X2),implies(X2,X3)))|~is_a_theorem(implies(not(X3),X1))), inference(spm,[status(thm)],[c_0_37, c_0_30])).
% 149.87/202.31 cnf(c_0_41, plain, (is_a_theorem(implies(X1,and(X1,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 149.87/202.31 cnf(c_0_42, plain, (is_a_theorem(or(and(and(not(X1),not(X1)),X2),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 149.87/202.31 cnf(c_0_43, plain, (or(and(X1,not(X2)),X3)=implies(implies(X1,X2),X3)), inference(spm,[status(thm)],[c_0_30, c_0_26])).
% 149.87/202.31 fof(c_0_44, plain, ![X138, X139]:((~kn2|is_a_theorem(implies(and(X138,X139),X138)))&(~is_a_theorem(implies(and(esk34_0,esk35_0),esk34_0))|kn2)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kn2])])])])).
% 149.87/202.31 cnf(c_0_45, plain, (is_a_theorem(implies(implies(and(not(X1),not(X1)),X2),or(X2,X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_30]), c_0_43])).
% 149.87/202.31 cnf(c_0_46, plain, (is_a_theorem(implies(and(X1,X2),X1))|~kn2), inference(split_conjunct,[status(thm)],[c_0_44])).
% 149.87/202.31 cnf(c_0_47, plain, (kn2), inference(split_conjunct,[status(thm)],[rosser_kn2])).
% 149.87/202.31 cnf(c_0_48, plain, (is_a_theorem(implies(or(X1,X2),implies(implies(X2,X3),or(X3,X1))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_30]), c_0_43])).
% 149.87/202.31 cnf(c_0_49, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(implies(and(not(X2),not(X2)),X1))), inference(spm,[status(thm)],[c_0_34, c_0_45])).
% 149.87/202.31 cnf(c_0_50, plain, (is_a_theorem(implies(and(X1,X2),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
% 149.87/202.31 cnf(c_0_51, plain, (is_a_theorem(implies(implies(X1,X2),or(X2,X3)))|~is_a_theorem(or(X3,X1))), inference(spm,[status(thm)],[c_0_34, c_0_48])).
% 149.87/202.31 cnf(c_0_52, plain, (is_a_theorem(or(not(X1),X1))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 149.87/202.31 cnf(c_0_53, plain, (is_a_theorem(implies(implies(X1,X2),or(X2,not(X1))))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
% 149.87/202.31 cnf(c_0_54, plain, (is_a_theorem(implies(or(X1,X2),or(X2,not(not(X1)))))), inference(spm,[status(thm)],[c_0_53, c_0_30])).
% 149.87/202.31 cnf(c_0_55, plain, (is_a_theorem(or(X1,not(X2)))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_34, c_0_53])).
% 149.87/202.31 cnf(c_0_56, plain, (is_a_theorem(or(X1,not(not(X2))))|~is_a_theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_34, c_0_54])).
% 149.87/202.31 cnf(c_0_57, plain, (is_a_theorem(implies(not(X1),not(X2)))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_55, c_0_30])).
% 149.87/202.31 cnf(c_0_58, plain, (is_a_theorem(implies(not(X1),not(not(not(X1)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_52]), c_0_30])).
% 149.87/202.31 cnf(c_0_59, plain, (is_a_theorem(or(and(X1,X1),not(X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_41]), c_0_30])).
% 149.87/202.31 cnf(c_0_60, plain, (is_a_theorem(or(and(not(not(not(X1))),X2),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_40, c_0_58])).
% 149.87/202.31 cnf(c_0_61, plain, (is_a_theorem(implies(implies(not(X1),X2),or(X2,and(X1,X1))))), inference(spm,[status(thm)],[c_0_51, c_0_59])).
% 149.87/202.31 cnf(c_0_62, plain, (not(and(X1,implies(X2,X3)))=implies(X1,and(X2,not(X3)))), inference(spm,[status(thm)],[c_0_26, c_0_26])).
% 149.87/202.31 cnf(c_0_63, plain, (is_a_theorem(implies(implies(not(not(not(X1))),X2),or(X2,X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_30]), c_0_43])).
% 149.87/202.31 cnf(c_0_64, plain, (is_a_theorem(implies(or(X1,X2),or(X2,and(X1,X1))))), inference(spm,[status(thm)],[c_0_61, c_0_30])).
% 149.87/202.31 cnf(c_0_65, plain, (is_a_theorem(X1)|~is_a_theorem(or(X2,X1))|~is_a_theorem(not(X2))), inference(spm,[status(thm)],[c_0_34, c_0_30])).
% 149.87/202.31 cnf(c_0_66, plain, (is_a_theorem(or(and(X1,X2),implies(X2,not(X1))))), inference(spm,[status(thm)],[c_0_37, c_0_52])).
% 149.87/202.31 cnf(c_0_67, plain, (not(and(X1,or(X2,X3)))=implies(X1,and(not(X2),not(X3)))), inference(spm,[status(thm)],[c_0_62, c_0_30])).
% 149.87/202.31 cnf(c_0_68, plain, (is_a_theorem(implies(or(not(not(X1)),X2),or(X2,X1)))), inference(spm,[status(thm)],[c_0_63, c_0_30])).
% 149.87/202.31 cnf(c_0_69, plain, (is_a_theorem(or(X1,and(X2,X2)))|~is_a_theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_34, c_0_64])).
% 149.87/202.31 cnf(c_0_70, plain, (is_a_theorem(not(X1))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(not(X2))), inference(spm,[status(thm)],[c_0_65, c_0_55])).
% 149.87/202.31 cnf(c_0_71, plain, (is_a_theorem(implies(X1,not(X2)))|~is_a_theorem(not(and(X2,X1)))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
% 149.87/202.31 cnf(c_0_72, plain, (is_a_theorem(not(and(not(X1),or(X1,X1))))), inference(spm,[status(thm)],[c_0_41, c_0_67])).
% 149.87/202.31 cnf(c_0_73, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(or(not(not(X2)),X1))), inference(spm,[status(thm)],[c_0_34, c_0_68])).
% 149.87/202.31 cnf(c_0_74, plain, (is_a_theorem(or(not(X1),and(X2,X2)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_69, c_0_55])).
% 149.87/202.31 cnf(c_0_75, plain, (is_a_theorem(not(and(X1,X2)))|~is_a_theorem(not(X1))), inference(spm,[status(thm)],[c_0_70, c_0_50])).
% 149.87/202.31 cnf(c_0_76, plain, (is_a_theorem(implies(or(X1,X1),not(not(X1))))), inference(spm,[status(thm)],[c_0_71, c_0_72])).
% 149.87/202.31 cnf(c_0_77, plain, (is_a_theorem(or(and(X1,X1),X2))|~is_a_theorem(implies(not(X2),X1))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
% 149.87/202.31 cnf(c_0_78, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(not(X1))), inference(spm,[status(thm)],[c_0_75, c_0_26])).
% 149.87/202.31 cnf(c_0_79, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_34, c_0_76])).
% 149.87/202.31 cnf(c_0_80, plain, (is_a_theorem(or(not(not(X1)),not(or(X1,X1))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_76]), c_0_30])).
% 149.87/202.31 cnf(c_0_81, plain, (is_a_theorem(implies(not(X1),not(and(X1,X2))))), inference(spm,[status(thm)],[c_0_57, c_0_50])).
% 149.87/202.31 cnf(c_0_82, plain, (is_a_theorem(or(and(X1,X1),X2))|~is_a_theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_77, c_0_30])).
% 149.87/202.31 cnf(c_0_83, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_78, c_0_79])).
% 149.87/202.31 cnf(c_0_84, plain, (is_a_theorem(or(not(or(X1,X1)),X1))), inference(spm,[status(thm)],[c_0_73, c_0_80])).
% 149.87/202.31 cnf(c_0_85, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_81, c_0_26])).
% 149.87/202.31 cnf(c_0_86, plain, (is_a_theorem(implies(or(X1,X1),X2))|~is_a_theorem(implies(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_55]), c_0_43]), c_0_30])).
% 149.87/202.31 cnf(c_0_87, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(or(X1,X1))), inference(spm,[status(thm)],[c_0_83, c_0_30])).
% 149.87/202.31 cnf(c_0_88, plain, (is_a_theorem(or(and(X1,X1),not(or(X1,X1))))), inference(spm,[status(thm)],[c_0_82, c_0_84])).
% 149.87/202.31 cnf(c_0_89, plain, (is_a_theorem(or(X1,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_85, c_0_30])).
% 149.87/202.31 cnf(c_0_90, plain, (is_a_theorem(X1)|~is_a_theorem(or(X2,X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_34, c_0_86])).
% 149.87/202.31 cnf(c_0_91, plain, (is_a_theorem(or(not(X1),X2))|~is_a_theorem(implies(X1,not(X1)))), inference(spm,[status(thm)],[c_0_87, c_0_55])).
% 149.87/202.31 cnf(c_0_92, plain, (is_a_theorem(implies(implies(not(or(X1,X1)),X2),or(X2,and(X1,X1))))), inference(spm,[status(thm)],[c_0_51, c_0_88])).
% 149.87/202.31 cnf(c_0_93, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),or(X3,X1)))), inference(spm,[status(thm)],[c_0_51, c_0_89])).
% 149.87/202.31 cnf(c_0_94, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X2),X1))|~is_a_theorem(implies(X2,not(X2)))), inference(spm,[status(thm)],[c_0_90, c_0_91])).
% 149.87/202.31 cnf(c_0_95, plain, (is_a_theorem(implies(or(or(X1,X1),X2),or(X2,and(X1,X1))))), inference(spm,[status(thm)],[c_0_92, c_0_30])).
% 149.87/202.31 cnf(c_0_96, plain, (is_a_theorem(implies(not(or(X1,X2)),not(implies(implies(X2,X3),X1))))), inference(spm,[status(thm)],[c_0_57, c_0_93])).
% 149.87/202.31 cnf(c_0_97, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,not(X2)))|~is_a_theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_94, c_0_30])).
% 149.87/202.31 cnf(c_0_98, plain, (is_a_theorem(or(X1,and(X2,X2)))|~is_a_theorem(or(or(X2,X2),X1))), inference(spm,[status(thm)],[c_0_34, c_0_95])).
% 149.87/202.31 cnf(c_0_99, plain, (is_a_theorem(or(or(X1,X2),not(implies(implies(X2,X3),X1))))), inference(spm,[status(thm)],[c_0_96, c_0_30])).
% 149.87/202.31 cnf(c_0_100, plain, (is_a_theorem(implies(X1,not(X2)))|~is_a_theorem(not(X2))), inference(spm,[status(thm)],[c_0_71, c_0_75])).
% 149.87/202.31 cnf(c_0_101, plain, (is_a_theorem(X1)|~is_a_theorem(or(not(X2),X1))|~is_a_theorem(or(X2,X2))), inference(spm,[status(thm)],[c_0_97, c_0_83])).
% 149.87/202.31 cnf(c_0_102, plain, (is_a_theorem(or(not(implies(implies(X1,X2),X1)),and(X1,X1)))), inference(spm,[status(thm)],[c_0_98, c_0_99])).
% 149.87/202.31 cnf(c_0_103, plain, (is_a_theorem(or(X1,not(X2)))|~is_a_theorem(not(X2))), inference(spm,[status(thm)],[c_0_100, c_0_30])).
% 149.87/202.31 cnf(c_0_104, plain, (is_a_theorem(and(X1,X1))|~is_a_theorem(or(implies(implies(X1,X2),X1),implies(implies(X1,X2),X1)))), inference(spm,[status(thm)],[c_0_101, c_0_102])).
% 149.87/202.31 cnf(c_0_105, plain, (is_a_theorem(or(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_103, c_0_26])).
% 149.87/202.31 cnf(c_0_106, plain, (is_a_theorem(or(not(X1),or(X1,X2)))), inference(spm,[status(thm)],[c_0_89, c_0_30])).
% 149.87/202.31 cnf(c_0_107, plain, (is_a_theorem(and(X1,X1))|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_104, c_0_105])).
% 149.87/202.31 cnf(c_0_108, plain, (is_a_theorem(implies(implies(or(X1,X2),X3),or(X3,not(X1))))), inference(spm,[status(thm)],[c_0_51, c_0_106])).
% 149.87/202.31 cnf(c_0_109, plain, (is_a_theorem(X1)|~is_a_theorem(and(X1,X2))), inference(spm,[status(thm)],[c_0_34, c_0_50])).
% 149.87/202.31 cnf(c_0_110, plain, (is_a_theorem(and(implies(not(X1),not(X1)),implies(not(X1),not(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_30]), c_0_30])).
% 149.87/202.31 cnf(c_0_111, plain, (is_a_theorem(implies(not(X1),not(X1)))), inference(spm,[status(thm)],[c_0_109, c_0_110])).
% 149.87/202.31 cnf(c_0_112, plain, (is_a_theorem(implies(or(X1,X1),X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_111]), c_0_43]), c_0_30])).
% 149.87/202.31 cnf(c_0_113, plain, (is_a_theorem(or(and(not(and(X1,X2)),X3),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_40, c_0_81])).
% 149.87/202.31 cnf(c_0_114, plain, (is_a_theorem(implies(implies(X1,X2),or(X2,X3)))|~is_a_theorem(implies(not(X3),X1))), inference(spm,[status(thm)],[c_0_51, c_0_30])).
% 149.87/202.31 cnf(c_0_115, plain, (is_a_theorem(implies(not(X1),not(or(X1,X1))))), inference(spm,[status(thm)],[c_0_57, c_0_112])).
% 149.87/202.31 cnf(c_0_116, plain, (is_a_theorem(implies(implies(not(and(X1,X2)),X3),or(X3,X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_30]), c_0_43])).
% 149.87/202.31 cnf(c_0_117, plain, (is_a_theorem(implies(implies(not(or(X1,X1)),X2),or(X2,X1)))), inference(spm,[status(thm)],[c_0_114, c_0_115])).
% 149.87/202.31 cnf(c_0_118, plain, (is_a_theorem(implies(or(and(X1,X2),X3),or(X3,X1)))), inference(spm,[status(thm)],[c_0_116, c_0_30])).
% 149.87/202.31 cnf(c_0_119, plain, (is_a_theorem(implies(or(or(X1,X1),X2),or(X2,X1)))), inference(spm,[status(thm)],[c_0_117, c_0_30])).
% 149.87/202.31 cnf(c_0_120, plain, (is_a_theorem(implies(not(or(X1,X2)),not(or(and(X2,X3),X1))))), inference(spm,[status(thm)],[c_0_57, c_0_118])).
% 149.87/202.31 cnf(c_0_121, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(or(or(X2,X2),X1))), inference(spm,[status(thm)],[c_0_34, c_0_119])).
% 149.87/202.31 cnf(c_0_122, plain, (is_a_theorem(or(or(X1,X2),not(or(and(X2,X3),X1))))), inference(spm,[status(thm)],[c_0_120, c_0_30])).
% 149.87/202.31 cnf(c_0_123, plain, (is_a_theorem(or(not(or(and(X1,X2),X1)),X1))), inference(spm,[status(thm)],[c_0_121, c_0_122])).
% 149.87/202.31 cnf(c_0_124, plain, (is_a_theorem(implies(implies(not(X1),X2),or(X2,X1)))), inference(spm,[status(thm)],[c_0_114, c_0_111])).
% 149.87/202.31 cnf(c_0_125, plain, (is_a_theorem(X1)|~is_a_theorem(or(or(and(X1,X2),X1),or(and(X1,X2),X1)))), inference(spm,[status(thm)],[c_0_101, c_0_123])).
% 149.87/202.31 cnf(c_0_126, plain, (is_a_theorem(or(X1,or(X2,X3)))|~is_a_theorem(or(X2,X3))), inference(spm,[status(thm)],[c_0_105, c_0_30])).
% 149.87/202.31 cnf(c_0_127, plain, (is_a_theorem(implies(or(X1,X2),or(X2,X1)))), inference(spm,[status(thm)],[c_0_124, c_0_30])).
% 149.87/202.31 cnf(c_0_128, plain, (is_a_theorem(X1)|~is_a_theorem(or(and(X1,X2),X1))), inference(spm,[status(thm)],[c_0_125, c_0_126])).
% 149.87/202.31 cnf(c_0_129, plain, (is_a_theorem(or(and(X1,X2),not(and(X2,X3))))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_34, c_0_33])).
% 149.87/202.31 cnf(c_0_130, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_34, c_0_127])).
% 149.87/202.31 cnf(c_0_131, plain, (is_a_theorem(or(not(and(X1,X2)),not(not(X1))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_81]), c_0_30])).
% 149.87/202.31 cnf(c_0_132, plain, (is_a_theorem(not(and(X1,X2)))|~is_a_theorem(implies(X2,not(and(X1,X2))))), inference(spm,[status(thm)],[c_0_128, c_0_129])).
% 149.87/202.31 cnf(c_0_133, plain, (is_a_theorem(implies(not(not(not(X1))),not(and(X1,X2))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_131]), c_0_30])).
% 149.87/202.31 cnf(c_0_134, plain, (is_a_theorem(implies(not(and(X1,X2)),not(and(X2,X3))))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_34, c_0_29])).
% 149.87/202.31 cnf(c_0_135, plain, (is_a_theorem(implies(X1,not(not(X1))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_133]), c_0_26])).
% 149.87/202.31 cnf(c_0_136, plain, (is_a_theorem(or(and(implies(X1,X2),X3),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_40, c_0_85])).
% 149.87/202.31 cnf(c_0_137, plain, (is_a_theorem(implies(not(and(and(X1,X1),X2)),not(and(X2,X1))))), inference(spm,[status(thm)],[c_0_134, c_0_41])).
% 149.87/202.31 cnf(c_0_138, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_34, c_0_135])).
% 149.87/202.31 cnf(c_0_139, plain, (is_a_theorem(or(or(not(X1),X2),X1))), inference(spm,[status(thm)],[c_0_73, c_0_106])).
% 149.87/202.31 cnf(c_0_140, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_128, c_0_136])).
% 149.87/202.31 cnf(c_0_141, plain, (is_a_theorem(or(and(and(X1,X1),X2),not(and(X2,X1))))), inference(spm,[status(thm)],[c_0_137, c_0_30])).
% 149.87/202.31 cnf(c_0_142, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_78, c_0_138])).
% 149.87/202.31 cnf(c_0_143, plain, (is_a_theorem(implies(not(X1),or(not(X1),X2)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_139]), c_0_30])).
% 149.87/202.31 cnf(c_0_144, plain, (is_a_theorem(implies(and(not(X1),or(X1,X1)),X2))), inference(spm,[status(thm)],[c_0_78, c_0_72])).
% 149.87/202.31 cnf(c_0_145, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(implies(not(X2),X1))), inference(spm,[status(thm)],[c_0_34, c_0_124])).
% 149.87/202.31 cnf(c_0_146, plain, (is_a_theorem(implies(not(and(X1,X2)),not(and(X2,X1))))), inference(spm,[status(thm)],[c_0_134, c_0_140])).
% 149.87/202.31 cnf(c_0_147, plain, (is_a_theorem(implies(and(X1,X2),X3))|~is_a_theorem(not(X1))), inference(spm,[status(thm)],[c_0_78, c_0_75])).
% 149.87/202.31 cnf(c_0_148, plain, (is_a_theorem(implies(or(and(X1,X2),and(X1,X2)),and(and(X2,X2),X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_141]), c_0_43]), c_0_30])).
% 149.87/202.31 cnf(c_0_149, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(not(not(X1)))), inference(spm,[status(thm)],[c_0_65, c_0_106])).
% 149.87/202.31 cnf(c_0_150, plain, (is_a_theorem(X1)|~is_a_theorem(or(not(X2),X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_97, c_0_142])).
% 149.87/202.31 cnf(c_0_151, plain, (is_a_theorem(or(not(or(and(X1,X2),X1)),and(X1,X1)))), inference(spm,[status(thm)],[c_0_98, c_0_122])).
% 149.87/202.31 cnf(c_0_152, plain, (is_a_theorem(implies(implies(or(not(X1),X2),X3),or(X3,X1)))), inference(spm,[status(thm)],[c_0_114, c_0_143])).
% 149.87/202.31 cnf(c_0_153, plain, (is_a_theorem(X1)|~is_a_theorem(or(and(not(X2),or(X2,X2)),X1))), inference(spm,[status(thm)],[c_0_97, c_0_144])).
% 149.87/202.31 cnf(c_0_154, plain, (or(and(X1,or(X2,X3)),X4)=implies(implies(X1,and(not(X2),not(X3))),X4)), inference(spm,[status(thm)],[c_0_30, c_0_67])).
% 149.87/202.31 cnf(c_0_155, plain, (is_a_theorem(or(not(and(X1,X2)),and(X2,X1)))), inference(spm,[status(thm)],[c_0_145, c_0_146])).
% 149.87/202.31 cnf(c_0_156, plain, (is_a_theorem(implies(or(and(X1,X2),and(X1,X2)),and(X2,X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_146]), c_0_43]), c_0_30])).
% 149.87/202.31 cnf(c_0_157, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(not(not(X2)))), inference(spm,[status(thm)],[c_0_49, c_0_147])).
% 149.87/202.31 cnf(c_0_158, plain, (is_a_theorem(and(and(X1,X1),X2))|~is_a_theorem(or(and(X2,X1),and(X2,X1)))), inference(spm,[status(thm)],[c_0_34, c_0_148])).
% 149.87/202.31 cnf(c_0_159, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_149, c_0_138])).
% 149.87/202.31 cnf(c_0_160, plain, (is_a_theorem(and(X1,X1))|~is_a_theorem(or(and(X1,X2),X1))), inference(spm,[status(thm)],[c_0_150, c_0_151])).
% 149.87/202.31 cnf(c_0_161, plain, (is_a_theorem(not(not(X1)))|~is_a_theorem(and(X1,X2))), inference(spm,[status(thm)],[c_0_150, c_0_131])).
% 149.87/202.31 cnf(c_0_162, plain, (is_a_theorem(and(or(not(X1),X1),or(not(X1),X1)))), inference(spm,[status(thm)],[c_0_107, c_0_152])).
% 149.87/202.31 cnf(c_0_163, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(and(not(X2),or(X2,X2))),X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153, c_0_154]), c_0_67])).
% 149.87/202.31 cnf(c_0_164, plain, (is_a_theorem(implies(not(and(X1,X2)),and(not(and(X2,X1)),not(and(X2,X1)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_155]), c_0_30])).
% 149.87/202.31 cnf(c_0_165, plain, (is_a_theorem(and(X1,X2))|~is_a_theorem(or(and(X2,X1),and(X2,X1)))), inference(spm,[status(thm)],[c_0_34, c_0_156])).
% 149.87/202.31 cnf(c_0_166, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_157, c_0_138])).
% 149.87/202.31 cnf(c_0_167, plain, (is_a_theorem(and(and(X1,X1),X2))|~is_a_theorem(and(X2,X1))), inference(spm,[status(thm)],[c_0_158, c_0_159])).
% 149.87/202.31 cnf(c_0_168, plain, (is_a_theorem(and(implies(X1,X1),implies(X1,X1)))), inference(spm,[status(thm)],[c_0_160, c_0_136])).
% 149.87/202.31 fof(c_0_169, 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])])])).
% 149.87/202.31 cnf(c_0_170, plain, (is_a_theorem(not(not(or(not(X1),X1))))), inference(spm,[status(thm)],[c_0_161, c_0_162])).
% 149.87/202.31 cnf(c_0_171, plain, (is_a_theorem(and(implies(or(X1,X1),X1),implies(or(X1,X1),X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_164]), c_0_26]), c_0_26])).
% 149.87/202.31 cnf(c_0_172, plain, (is_a_theorem(and(X1,X2))|~is_a_theorem(and(X2,X1))), inference(spm,[status(thm)],[c_0_165, c_0_166])).
% 149.87/202.31 cnf(c_0_173, plain, (is_a_theorem(and(and(implies(X1,X1),implies(X1,X1)),implies(X1,X1)))), inference(spm,[status(thm)],[c_0_167, c_0_168])).
% 149.87/202.31 fof(c_0_174, 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])])])])])).
% 149.87/202.31 cnf(c_0_175, plain, (equiv(X1,X2)=and(implies(X1,X2),implies(X2,X1))|~op_equiv), inference(split_conjunct,[status(thm)],[c_0_169])).
% 149.87/202.31 cnf(c_0_176, plain, (op_equiv), inference(split_conjunct,[status(thm)],[rosser_op_equiv])).
% 149.87/202.31 cnf(c_0_177, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_132, c_0_26])).
% 149.87/202.31 cnf(c_0_178, plain, (is_a_theorem(or(X1,or(not(X2),X2)))), inference(spm,[status(thm)],[c_0_157, c_0_170])).
% 149.87/202.31 cnf(c_0_179, plain, (is_a_theorem(and(and(implies(or(X1,X1),X1),implies(or(X1,X1),X1)),implies(or(X1,X1),X1)))), inference(spm,[status(thm)],[c_0_167, c_0_171])).
% 149.87/202.31 cnf(c_0_180, plain, (is_a_theorem(and(implies(X1,X1),and(implies(X1,X1),implies(X1,X1))))), inference(spm,[status(thm)],[c_0_172, c_0_173])).
% 149.87/202.31 cnf(c_0_181, plain, (X1=X2|~substitution_of_equivalents|~is_a_theorem(equiv(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_174])).
% 149.87/202.31 cnf(c_0_182, plain, (substitution_of_equivalents), inference(split_conjunct,[status(thm)],[use_substitution_of_equivalents])).
% 149.87/202.31 cnf(c_0_183, plain, (equiv(X1,X2)=and(implies(X1,X2),implies(X2,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175, c_0_176])])).
% 149.87/202.31 cnf(c_0_184, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(or(X2,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_177, c_0_30])).
% 149.87/202.31 cnf(c_0_185, plain, (is_a_theorem(or(and(or(not(X1),X1),X2),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_37, c_0_178])).
% 149.87/202.31 cnf(c_0_186, plain, (is_a_theorem(and(implies(or(X1,X1),X1),and(implies(or(X1,X1),X1),implies(or(X1,X1),X1))))), inference(spm,[status(thm)],[c_0_172, c_0_179])).
% 149.87/202.31 cnf(c_0_187, plain, (is_a_theorem(not(not(implies(X1,X1))))), inference(spm,[status(thm)],[c_0_161, c_0_180])).
% 149.87/202.31 cnf(c_0_188, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),not(and(not(X3),X1)))))), inference(spm,[status(thm)],[c_0_29, c_0_26])).
% 149.87/202.31 cnf(c_0_189, plain, (X1=X2|~is_a_theorem(and(implies(X1,X2),implies(X2,X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181, c_0_182]), c_0_183])])).
% 149.87/202.31 cnf(c_0_190, plain, (is_a_theorem(implies(X1,and(or(not(X2),X2),X1)))), inference(spm,[status(thm)],[c_0_184, c_0_185])).
% 149.87/202.31 cnf(c_0_191, plain, (is_a_theorem(not(not(implies(or(X1,X1),X1))))), inference(spm,[status(thm)],[c_0_161, c_0_186])).
% 149.87/202.31 cnf(c_0_192, plain, (is_a_theorem(or(implies(X1,X1),X2))), inference(spm,[status(thm)],[c_0_149, c_0_187])).
% 149.87/202.31 cnf(c_0_193, plain, (is_a_theorem(implies(implies(X1,X2),not(and(not(X2),X3))))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_34, c_0_188])).
% 149.87/202.31 cnf(c_0_194, plain, (not(X1)=X2|~is_a_theorem(and(or(X1,X2),implies(X2,not(X1))))), inference(spm,[status(thm)],[c_0_189, c_0_30])).
% 149.87/202.31 cnf(c_0_195, plain, (is_a_theorem(and(or(not(X1),X1),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_34, c_0_190])).
% 149.87/202.31 cnf(c_0_196, plain, (is_a_theorem(or(X1,implies(or(X2,X2),X2)))), inference(spm,[status(thm)],[c_0_157, c_0_191])).
% 149.87/202.31 cnf(c_0_197, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X1))), inference(spm,[status(thm)],[c_0_90, c_0_192])).
% 149.87/202.31 cnf(c_0_198, plain, (is_a_theorem(implies(implies(X1,X2),not(and(not(X2),X1))))), inference(spm,[status(thm)],[c_0_193, c_0_140])).
% 149.87/202.31 cnf(c_0_199, plain, (not(not(X1))=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194, c_0_195]), c_0_135])])).
% 149.87/202.31 cnf(c_0_200, plain, (is_a_theorem(or(and(implies(or(X1,X1),X1),X2),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_37, c_0_196])).
% 149.87/202.31 cnf(c_0_201, plain, (is_a_theorem(not(and(not(X1),X1)))), inference(spm,[status(thm)],[c_0_197, c_0_198])).
% 149.87/202.31 cnf(c_0_202, plain, (not(and(X1,X2))=implies(X1,not(X2))), inference(spm,[status(thm)],[c_0_26, c_0_199])).
% 149.87/202.31 cnf(c_0_203, plain, (is_a_theorem(implies(X1,and(implies(or(X2,X2),X2),X1)))), inference(spm,[status(thm)],[c_0_184, c_0_200])).
% 149.87/202.31 cnf(c_0_204, plain, (is_a_theorem(implies(and(not(X1),X1),X2))), inference(spm,[status(thm)],[c_0_78, c_0_201])).
% 149.87/202.31 cnf(c_0_205, plain, (is_a_theorem(or(or(X1,X2),not(X1)))), inference(spm,[status(thm)],[c_0_130, c_0_106])).
% 149.87/202.31 cnf(c_0_206, plain, (is_a_theorem(or(X1,X2))|~is_a_theorem(implies(implies(X2,X3),X1))), inference(spm,[status(thm)],[c_0_34, c_0_93])).
% 149.87/202.31 cnf(c_0_207, plain, (or(not(X1),X2)=implies(X1,X2)), inference(spm,[status(thm)],[c_0_30, c_0_199])).
% 149.87/202.31 cnf(c_0_208, plain, (and(X1,X2)=not(implies(X1,not(X2)))), inference(spm,[status(thm)],[c_0_199, c_0_202])).
% 149.87/202.31 cnf(c_0_209, plain, (is_a_theorem(implies(implies(implies(or(X1,X1),X1),X2),X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_203]), c_0_43])).
% 149.87/202.31 cnf(c_0_210, plain, (is_a_theorem(X1)|~is_a_theorem(or(and(not(X2),X2),X1))), inference(spm,[status(thm)],[c_0_97, c_0_204])).
% 149.87/202.31 cnf(c_0_211, plain, (is_a_theorem(or(and(not(X1),X2),implies(X2,or(X1,X3))))), inference(spm,[status(thm)],[c_0_37, c_0_205])).
% 149.87/202.31 cnf(c_0_212, plain, (is_a_theorem(or(or(X1,X2),not(X2)))), inference(spm,[status(thm)],[c_0_206, c_0_124])).
% 149.87/202.31 cnf(c_0_213, 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_121, c_0_55]), c_0_207])).
% 149.87/202.31 cnf(c_0_214, plain, (is_a_theorem(implies(implies(X1,X2),or(X2,X3)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_51, c_0_166])).
% 149.87/202.31 cnf(c_0_215, plain, (X1=X2|~is_a_theorem(not(implies(implies(X1,X2),not(implies(X2,X1)))))), inference(rw,[status(thm)],[c_0_189, c_0_208])).
% 149.87/202.31 cnf(c_0_216, plain, (is_a_theorem(not(implies(implies(or(X1,X1),X1),X2)))|~is_a_theorem(not(X2))), inference(spm,[status(thm)],[c_0_70, c_0_209])).
% 149.87/202.31 cnf(c_0_217, plain, (is_a_theorem(implies(X1,or(X1,X2)))), inference(spm,[status(thm)],[c_0_210, c_0_211])).
% 149.87/202.31 cnf(c_0_218, plain, (is_a_theorem(implies(X1,or(X2,X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_212]), c_0_207])).
% 149.87/202.31 cnf(c_0_219, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_213, c_0_214])).
% 149.87/202.31 cnf(c_0_220, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X3),or(X3,X1))))), inference(spm,[status(thm)],[c_0_48, c_0_30])).
% 149.87/202.31 cnf(c_0_221, plain, (is_a_theorem(implies(or(X1,not(X2)),implies(or(X2,X3),or(X3,X1))))), inference(spm,[status(thm)],[c_0_48, c_0_30])).
% 149.87/202.31 cnf(c_0_222, plain, (is_a_theorem(or(or(X1,not(X2)),X2))), inference(spm,[status(thm)],[c_0_206, c_0_53])).
% 149.87/202.31 cnf(c_0_223, plain, (or(X1,X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215, c_0_216]), c_0_199]), c_0_217])])).
% 149.87/202.31 cnf(c_0_224, plain, (is_a_theorem(implies(implies(or(X1,not(X2)),X3),or(X3,X2)))), inference(spm,[status(thm)],[c_0_114, c_0_218])).
% 149.87/202.31 cnf(c_0_225, plain, (is_a_theorem(not(implies(X1,X2)))|~is_a_theorem(not(X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_70, c_0_219])).
% 149.87/202.31 cnf(c_0_226, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),or(X3,not(X1)))))), inference(spm,[status(thm)],[c_0_220, c_0_199])).
% 149.87/202.31 cnf(c_0_227, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X3),X1)))), inference(spm,[status(thm)],[c_0_136, c_0_43])).
% 149.87/202.31 cnf(c_0_228, plain, (is_a_theorem(implies(or(X1,X2),or(X2,X3)))|~is_a_theorem(or(X3,not(X1)))), inference(spm,[status(thm)],[c_0_34, c_0_221])).
% 149.87/202.31 cnf(c_0_229, plain, (is_a_theorem(or(implies(X1,not(X2)),X2))), inference(spm,[status(thm)],[c_0_222, c_0_207])).
% 149.87/202.31 cnf(c_0_230, plain, (is_a_theorem(implies(or(X1,X2),implies(not(X2),X1)))), inference(spm,[status(thm)],[c_0_127, c_0_30])).
% 149.87/202.31 cnf(c_0_231, plain, (is_a_theorem(implies(or(X1,X2),implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_48, c_0_223])).
% 149.87/202.31 cnf(c_0_232, plain, (is_a_theorem(or(or(X1,X2),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_206, c_0_93])).
% 149.87/202.31 cnf(c_0_233, plain, (is_a_theorem(implies(implies(or(X1,not(X2)),X2),X2))), inference(spm,[status(thm)],[c_0_213, c_0_224])).
% 149.87/202.31 cnf(c_0_234, plain, (X1=X2|~is_a_theorem(implies(X2,X1))|~is_a_theorem(implies(X1,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215, c_0_225]), c_0_199])).
% 149.87/202.31 cnf(c_0_235, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,not(X1)),not(X1))))), inference(spm,[status(thm)],[c_0_226, c_0_223])).
% 149.87/202.31 cnf(c_0_236, plain, (is_a_theorem(implies(implies(implies(X1,X2),not(X3)),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_227, c_0_199])).
% 149.87/202.31 cnf(c_0_237, plain, (is_a_theorem(implies(or(X1,X2),or(X2,implies(X3,X1))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228, c_0_229]), c_0_199])).
% 149.87/202.31 cnf(c_0_238, plain, (is_a_theorem(implies(or(X1,not(X2)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_230, c_0_199])).
% 149.87/202.31 cnf(c_0_239, plain, (is_a_theorem(implies(or(X1,X2),implies(implies(X2,X3),implies(not(X3),X1))))), inference(spm,[status(thm)],[c_0_35, c_0_43])).
% 149.87/202.31 cnf(c_0_240, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(or(X2,X1))), inference(spm,[status(thm)],[c_0_34, c_0_231])).
% 149.87/202.31 cnf(c_0_241, plain, (is_a_theorem(or(implies(X1,X2),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_232, c_0_207])).
% 149.87/202.31 cnf(c_0_242, plain, (is_a_theorem(implies(implies(or(X1,X2),not(X2)),not(X2)))), inference(spm,[status(thm)],[c_0_233, c_0_199])).
% 149.87/202.31 cnf(c_0_243, plain, (implies(implies(X1,not(X2)),not(X2))=implies(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_235]), c_0_236])])).
% 149.87/202.31 cnf(c_0_244, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_218, c_0_207])).
% 149.87/202.31 cnf(c_0_245, plain, (is_a_theorem(implies(or(X1,not(X2)),implies(X2,implies(X3,X1))))), inference(spm,[status(thm)],[c_0_237, c_0_207])).
% 149.87/202.31 cnf(c_0_246, plain, (or(X1,not(X2))=implies(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_238]), c_0_53])])).
% 149.87/202.31 cnf(c_0_247, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(not(X2),X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193, c_0_111]), c_0_26])).
% 149.87/202.31 cnf(c_0_248, plain, (is_a_theorem(or(implies(X1,X2),or(X3,X1)))), inference(spm,[status(thm)],[c_0_130, c_0_232])).
% 149.87/202.31 cnf(c_0_249, plain, (is_a_theorem(or(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_157, c_0_187])).
% 149.87/202.31 cnf(c_0_250, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(X2),X3)))|~is_a_theorem(or(X3,X1))), inference(spm,[status(thm)],[c_0_34, c_0_239])).
% 149.87/202.31 cnf(c_0_251, plain, (is_a_theorem(or(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_130, c_0_89])).
% 149.87/202.31 cnf(c_0_252, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X1)),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_240, c_0_241])).
% 149.87/202.31 cnf(c_0_253, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_220, c_0_223])).
% 149.87/202.31 cnf(c_0_254, plain, (is_a_theorem(implies(implies(implies(X1,X2),not(X2)),not(X2)))), inference(spm,[status(thm)],[c_0_242, c_0_207])).
% 149.87/202.31 cnf(c_0_255, plain, (or(X1,X2)=or(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_127]), c_0_127])])).
% 149.87/202.31 cnf(c_0_256, plain, (or(X1,X2)=implies(implies(X2,X1),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_231]), c_0_93])])).
% 149.87/202.31 cnf(c_0_257, plain, (implies(X1,not(X2))=not(X2)|~is_a_theorem(implies(X2,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_243]), c_0_244])])).
% 149.87/202.31 cnf(c_0_258, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2))))), inference(rw,[status(thm)],[c_0_245, c_0_246])).
% 149.87/202.31 cnf(c_0_259, plain, (is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_247, c_0_199])).
% 149.87/202.31 cnf(c_0_260, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(X2),not(X1))))), inference(spm,[status(thm)],[c_0_66, c_0_43])).
% 149.87/202.31 cnf(c_0_261, plain, (is_a_theorem(or(implies(X1,X2),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_248, c_0_207])).
% 149.87/202.31 cnf(c_0_262, plain, (is_a_theorem(or(and(implies(X1,X1),X2),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_37, c_0_249])).
% 149.87/202.31 cnf(c_0_263, plain, (is_a_theorem(implies(or(X1,implies(X2,X1)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_213, c_0_237])).
% 149.87/202.31 cnf(c_0_264, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(X2),implies(X1,X3))))), inference(spm,[status(thm)],[c_0_250, c_0_251])).
% 149.87/202.31 cnf(c_0_265, plain, (is_a_theorem(or(not(implies(implies(X1,X2),X1)),X1))), inference(spm,[status(thm)],[c_0_121, c_0_99])).
% 149.87/202.31 cnf(c_0_266, plain, (implies(implies(X1,X2),implies(X3,X1))=implies(X3,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_252]), c_0_244])])).
% 149.87/202.31 cnf(c_0_267, plain, (implies(implies(X1,X2),X2)=implies(not(X2),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_253]), c_0_227])])).
% 149.87/202.31 cnf(c_0_268, plain, (implies(implies(X1,X2),not(X2))=not(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_254]), c_0_244])])).
% 149.87/202.31 cnf(c_0_269, plain, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_255, c_0_256]), c_0_256])).
% 149.87/202.31 cnf(c_0_270, plain, (implies(implies(X1,implies(X2,X3)),not(implies(X1,X3)))=not(implies(X1,X3))), inference(spm,[status(thm)],[c_0_257, c_0_258])).
% 149.87/202.31 cnf(c_0_271, plain, (implies(implies(not(X1),X2),X2)=implies(X1,X2)), inference(rw,[status(thm)],[c_0_246, c_0_256])).
% 149.87/202.31 cnf(c_0_272, plain, (implies(X1,X2)=implies(not(X2),not(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_259]), c_0_260])])).
% 149.87/202.31 cnf(c_0_273, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_240, c_0_261])).
% 149.87/202.31 cnf(c_0_274, plain, (is_a_theorem(implies(X1,and(implies(X2,X2),X1)))), inference(spm,[status(thm)],[c_0_184, c_0_262])).
% 149.87/202.31 cnf(c_0_275, plain, (is_a_theorem(implies(implies(X1,implies(X2,not(X1))),implies(X2,not(X1))))), inference(spm,[status(thm)],[c_0_263, c_0_207])).
% 149.87/202.31 cnf(c_0_276, plain, (is_a_theorem(implies(implies(X1,not(X2)),implies(X2,implies(X1,X3))))), inference(spm,[status(thm)],[c_0_264, c_0_199])).
% 149.87/202.31 cnf(c_0_277, plain, (is_a_theorem(implies(implies(not(X1),implies(X2,X1)),implies(X2,X1)))), inference(spm,[status(thm)],[c_0_263, c_0_30])).
% 149.87/202.31 cnf(c_0_278, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), inference(rw,[status(thm)],[c_0_265, c_0_207])).
% 149.87/202.31 cnf(c_0_279, plain, (implies(implies(X1,X2),implies(implies(X1,X3),X3))=implies(implies(X1,X3),X3)), inference(spm,[status(thm)],[c_0_266, c_0_267])).
% 149.87/202.31 cnf(c_0_280, plain, (implies(implies(implies(X1,X2),X2),not(X1))=not(X1)), inference(spm,[status(thm)],[c_0_268, c_0_267])).
% 149.87/202.31 cnf(c_0_281, plain, (implies(implies(X1,X2),implies(X1,implies(X3,X2)))=implies(implies(X1,X2),implies(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269, c_0_270]), c_0_271]), c_0_272])).
% 149.87/202.31 cnf(c_0_282, plain, (implies(implies(X1,X2),implies(X2,X3))=implies(X2,X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_273]), c_0_244])])).
% 149.87/202.31 cnf(c_0_283, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_274]), c_0_43])).
% 149.87/202.31 cnf(c_0_284, plain, (implies(X1,implies(X2,not(X1)))=implies(X2,not(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_275]), c_0_276])])).
% 149.87/202.31 cnf(c_0_285, plain, (implies(not(X1),implies(X2,X1))=implies(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_277]), c_0_264])])).
% 149.87/202.31 cnf(c_0_286, plain, (implies(implies(X1,X2),X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_278]), c_0_244])])).
% 149.87/202.31 cnf(c_0_287, plain, (is_a_theorem(implies(implies(X1,not(X2)),implies(X2,not(X1))))), inference(spm,[status(thm)],[c_0_260, c_0_199])).
% 149.87/202.31 cnf(c_0_288, plain, (is_a_theorem(implies(implies(implies(X1,not(X2)),X3),or(X3,X2)))), inference(spm,[status(thm)],[c_0_114, c_0_244])).
% 149.87/202.31 cnf(c_0_289, plain, (implies(not(X1),implies(implies(implies(implies(X1,X2),X2),X3),X3))=implies(implies(implies(implies(X1,X2),X2),X3),X3)), inference(spm,[status(thm)],[c_0_279, c_0_280])).
% 149.87/202.31 cnf(c_0_290, plain, (implies(implies(implies(X1,X2),X3),implies(implies(X1,X2),X3))=implies(implies(implies(X1,X2),X3),implies(X2,X3))), inference(spm,[status(thm)],[c_0_281, c_0_282])).
% 149.87/202.31 cnf(c_0_291, plain, (implies(implies(X1,X1),X2)=X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_283]), c_0_244])])).
% 149.87/202.31 cnf(c_0_292, plain, (implies(implies(X1,X2),not(X1))=implies(X2,not(X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243, c_0_243]), c_0_284])).
% 149.87/202.31 cnf(c_0_293, plain, (implies(not(X1),X2)=or(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_230]), c_0_124])])).
% 149.87/202.31 cnf(c_0_294, plain, (implies(implies(not(X1),X2),X1)=implies(X2,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267, c_0_267]), c_0_285])).
% 149.87/202.31 cnf(c_0_295, plain, (implies(X1,implies(not(X1),X2))=implies(X1,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243, c_0_286]), c_0_272])).
% 149.87/202.31 cnf(c_0_296, plain, (implies(X1,not(X2))=implies(X2,not(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_287]), c_0_287])])).
% 149.87/202.31 cnf(c_0_297, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),or(X3,not(X2))))), inference(spm,[status(thm)],[c_0_288, c_0_199])).
% 149.87/202.31 cnf(c_0_298, plain, (implies(not(X1),implies(implies(X1,X2),implies(X3,X2)))=implies(implies(X1,X2),implies(X3,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289, c_0_281]), c_0_290]), c_0_282]), c_0_291]), c_0_290]), c_0_282]), c_0_291])).
% 149.87/202.31 cnf(c_0_299, plain, (implies(implies(X1,not(X2)),not(implies(X2,X1)))=X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292, c_0_292]), c_0_272]), c_0_286])).
% 149.87/202.31 cnf(c_0_300, plain, (implies(not(X1),X2)=implies(implies(X1,X2),X2)), inference(rw,[status(thm)],[c_0_293, c_0_256])).
% 149.87/202.31 cnf(c_0_301, plain, (implies(not(X1),X2)=X1|~is_a_theorem(implies(X2,X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_294]), c_0_295]), c_0_140])])).
% 149.87/202.31 cnf(c_0_302, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227, c_0_284]), c_0_199]), c_0_199])).
% 149.87/202.31 cnf(c_0_303, plain, (is_a_theorem(or(and(X1,X2),implies(X2,implies(X1,X3))))), inference(spm,[status(thm)],[c_0_37, c_0_251])).
% 149.87/202.31 cnf(c_0_304, plain, (is_a_theorem(or(implies(X1,implies(X2,X3)),X2))), inference(spm,[status(thm)],[c_0_206, c_0_244])).
% 149.87/202.31 cnf(c_0_305, plain, (implies(not(X1),X2)=implies(not(X2),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_247]), c_0_247])])).
% 149.87/202.31 cnf(c_0_306, plain, (implies(X1,not(implies(X2,X2)))=not(X1)), inference(spm,[status(thm)],[c_0_291, c_0_296])).
% 149.87/202.31 cnf(c_0_307, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(rw,[status(thm)],[c_0_297, c_0_246])).
% 149.87/202.31 cnf(c_0_308, plain, (implies(X1,implies(implies(X2,X1),implies(X3,not(X2))))=implies(implies(X2,X1),implies(X3,not(X2)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298, c_0_272]), c_0_199])).
% 149.87/202.31 cnf(c_0_309, plain, (implies(implies(X1,not(X2)),not(implies(X1,X2)))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299, c_0_300]), c_0_243]), c_0_296])).
% 149.87/202.31 cnf(c_0_310, plain, (implies(not(implies(X1,X2)),implies(implies(implies(X1,X2),X3),X2))=implies(X1,X2)), inference(spm,[status(thm)],[c_0_301, c_0_302])).
% 149.87/202.31 cnf(c_0_311, plain, (is_a_theorem(or(implies(X1,implies(X2,X3)),and(X2,X1)))), inference(spm,[status(thm)],[c_0_130, c_0_303])).
% 149.87/202.31 cnf(c_0_312, plain, (is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3))))), inference(spm,[status(thm)],[c_0_240, c_0_304])).
% 149.87/202.31 cnf(c_0_313, plain, (implies(not(X1),X2)=implies(implies(X2,not(implies(X3,X3))),X1)), inference(spm,[status(thm)],[c_0_305, c_0_306])).
% 149.87/202.31 cnf(c_0_314, plain, (implies(not(X1),not(implies(X2,X2)))=X1), inference(spm,[status(thm)],[c_0_291, c_0_272])).
% 149.87/202.31 cnf(c_0_315, plain, (implies(not(implies(X1,X2)),implies(X1,implies(X3,X2)))=implies(X1,implies(X3,X2))), inference(spm,[status(thm)],[c_0_286, c_0_270])).
% 149.87/202.31 cnf(c_0_316, plain, (implies(not(implies(X1,X2)),implies(implies(X3,X1),X2))=implies(X1,X2)), inference(spm,[status(thm)],[c_0_301, c_0_307])).
% 149.87/202.31 cnf(c_0_317, plain, (implies(X1,implies(implies(implies(X2,X3),X1),X2))=implies(implies(implies(X2,X3),X1),X2)), inference(spm,[status(thm)],[c_0_308, c_0_309])).
% 149.87/202.31 cnf(c_0_318, plain, (implies(implies(implies(X1,implies(X2,X3)),X3),implies(X2,X3))=implies(X1,implies(X2,X3))), inference(spm,[status(thm)],[c_0_310, c_0_298])).
% 149.87/202.31 cnf(c_0_319, plain, (is_a_theorem(or(or(X1,implies(X2,X3)),and(X2,not(X1))))), inference(spm,[status(thm)],[c_0_311, c_0_30])).
% 149.87/202.31 cnf(c_0_320, plain, (implies(X1,implies(X2,implies(X1,X3)))=implies(X2,implies(X1,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_312]), c_0_244])])).
% 149.87/202.31 cnf(c_0_321, plain, (implies(X1,implies(implies(X2,X1),implies(X2,X3)))=implies(implies(X2,X1),implies(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308, c_0_313]), c_0_314]), c_0_314])).
% 149.87/202.31 cnf(c_0_322, plain, (implies(implies(X1,X2),implies(X3,not(X1)))=implies(X2,implies(X3,not(X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315, c_0_308]), c_0_316])).
% 149.87/202.31 cnf(c_0_323, plain, (implies(implies(implies(X1,X2),X3),X1)=implies(X3,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315, c_0_317]), c_0_316])).
% 149.87/202.31 cnf(c_0_324, plain, (implies(implies(implies(X1,X2),X2),implies(implies(implies(X1,X2),X3),X2))=implies(X1,X2)), inference(spm,[status(thm)],[c_0_318, c_0_310])).
% 149.87/202.31 cnf(c_0_325, plain, (implies(X1,implies(X2,X1))=implies(X1,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267, c_0_268]), c_0_272]), c_0_199])).
% 149.87/202.31 cnf(c_0_326, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_319]), c_0_43])).
% 149.87/202.31 cnf(c_0_327, plain, (implies(X1,implies(implies(implies(X1,X2),X3),X3))=implies(implies(implies(X1,X2),X3),X3)), inference(spm,[status(thm)],[c_0_320, c_0_267])).
% 149.87/202.31 cnf(c_0_328, plain, (implies(implies(X1,X2),implies(X1,X3))=implies(X2,implies(X1,X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315, c_0_321]), c_0_316])).
% 149.87/202.31 fof(c_0_329, plain, ![X118, X119, X120]:((~or_3|is_a_theorem(implies(implies(X118,X120),implies(implies(X119,X120),implies(or(X118,X119),X120)))))&(~is_a_theorem(implies(implies(esk24_0,esk26_0),implies(implies(esk25_0,esk26_0),implies(or(esk24_0,esk25_0),esk26_0))))|or_3)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[or_3])])])])).
% 149.87/202.31 fof(c_0_330, negated_conjecture, ~or_3, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[hilbert_or_3])])).
% 149.87/202.31 cnf(c_0_331, plain, (implies(implies(X1,X2),implies(X3,X2))=implies(not(X1),implies(X3,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322, c_0_272]), c_0_199]), c_0_199])).
% 149.87/202.31 cnf(c_0_332, plain, (implies(X1,implies(implies(not(X1),X2),X3))=implies(X1,X3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243, c_0_323]), c_0_243])).
% 149.87/202.31 cnf(c_0_333, plain, (implies(implies(X1,X2),implies(implies(implies(implies(X1,X2),X2),X3),X2))=implies(implies(X1,X2),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324, c_0_300]), c_0_269]), c_0_325]), c_0_291])).
% 149.87/202.31 cnf(c_0_334, plain, (implies(X1,implies(X1,X2))=implies(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_326]), c_0_244])])).
% 149.87/202.31 cnf(c_0_335, plain, (implies(X1,implies(X2,implies(implies(X2,X1),X3)))=implies(X2,implies(implies(X2,X1),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308, c_0_327]), c_0_243]), c_0_243])).
% 149.87/202.31 cnf(c_0_336, plain, (implies(implies(implies(X1,not(X2)),X3),X2)=implies(X3,X2)), inference(spm,[status(thm)],[c_0_328, c_0_299])).
% 149.87/202.31 cnf(c_0_337, plain, (or_3|~is_a_theorem(implies(implies(esk24_0,esk26_0),implies(implies(esk25_0,esk26_0),implies(or(esk24_0,esk25_0),esk26_0))))), inference(split_conjunct,[status(thm)],[c_0_329])).
% 149.87/202.31 cnf(c_0_338, negated_conjecture, (~or_3), inference(split_conjunct,[status(thm)],[c_0_330])).
% 149.87/202.31 cnf(c_0_339, plain, (implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X2))=implies(X1,implies(X3,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269, c_0_331]), c_0_243])).
% 149.87/202.31 cnf(c_0_340, plain, (implies(X1,implies(implies(implies(X1,X2),X2),implies(X3,X2)))=implies(implies(implies(X1,X2),X2),implies(X3,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298, c_0_300]), c_0_199])).
% 149.87/202.31 cnf(c_0_341, plain, (implies(X1,X2)=implies(implies(X2,not(implies(X3,X3))),not(X1))), inference(spm,[status(thm)],[c_0_272, c_0_306])).
% 149.87/202.31 cnf(c_0_342, plain, (implies(implies(implies(X1,not(implies(X2,X2))),X3),X1)=implies(X3,X1)), inference(spm,[status(thm)],[c_0_294, c_0_306])).
% 149.87/202.31 cnf(c_0_343, plain, (implies(X1,implies(implies(implies(X1,X2),X3),X2))=implies(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332, c_0_333]), c_0_271]), c_0_334]), c_0_271])).
% 149.87/202.31 cnf(c_0_344, plain, (implies(implies(X1,implies(implies(X1,X2),X3)),X2)=X2), inference(spm,[status(thm)],[c_0_286, c_0_335])).
% 149.87/202.31 cnf(c_0_345, plain, (implies(X1,implies(implies(X2,X1),X3))=implies(X1,X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243, c_0_336]), c_0_243]), c_0_199])).
% 149.87/202.31 cnf(c_0_346, plain, (~is_a_theorem(implies(implies(esk24_0,esk26_0),implies(implies(esk25_0,esk26_0),implies(implies(not(esk24_0),esk25_0),esk26_0))))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_337, c_0_30]), c_0_338])).
% 149.87/202.31 cnf(c_0_347, plain, (implies(X1,implies(X2,X3))=implies(X2,implies(X1,X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269, c_0_339]), c_0_339])).
% 149.87/202.31 cnf(c_0_348, plain, (implies(implies(not(X1),X2),implies(X3,X2))=implies(X1,implies(X3,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340, c_0_341]), c_0_342]), c_0_342]), c_0_332])).
% 149.87/202.31 cnf(c_0_349, plain, (implies(X1,implies(implies(X1,X2),X3))=implies(X1,implies(X2,X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343, c_0_344]), c_0_345])).
% 149.87/202.31 cnf(c_0_350, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_346, c_0_347]), c_0_267]), c_0_348]), c_0_347]), c_0_347]), c_0_347]), c_0_349]), c_0_347]), c_0_347]), c_0_295]), c_0_140])]), ['proof']).
% 149.87/202.31 % SZS output end Proof
% 149.87/202.31 % User time : 198.248 s
% 149.87/202.31 % System time : 3.544 s
% 149.87/202.31 % Total time : 201.792 s
% 149.87/202.31
%------------------------------------------------------------------------------