%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL160-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n004.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 11:20:25 AM UTC 2026
% Result : Unsatisfiable 152.57s 152.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL160-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n004.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Fri Sep 4 15:17:29 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.12/0.45 start to proof:theBenchmark.p
% 152.57/152.62 % Version : CSI_E---1.1
% 152.57/152.62 % Problem : theBenchmark.p
% 152.57/152.62 % Proof found!
% 152.57/152.62 # SZS status Unsatisfiable
% 152.57/152.62 % SZS output start Proof
% 152.57/152.62 cnf(or_commutativity, axiom, (or(X1,X2)=or(X2,X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', or_commutativity)).
% 152.57/152.62 cnf(or_definition, axiom, (or(X1,X2)=implies(not(X1),X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', or_definition)).
% 152.57/152.62 cnf(wajsberg_4, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax', wajsberg_4)).
% 152.57/152.62 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 152.57/152.62 cnf(false_definition, axiom, (not(truth)=falsehood), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax', false_definition)).
% 152.57/152.62 cnf(wajsberg_3, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax', wajsberg_3)).
% 152.57/152.62 cnf(wajsberg_2, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax', wajsberg_2)).
% 152.57/152.62 cnf(or_associativity, axiom, (or(or(X1,X2),X3)=or(X1,or(X2,X3))), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', or_associativity)).
% 152.57/152.62 cnf(and_star_definition, axiom, (and_star(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax', and_star_definition)).
% 152.57/152.62 cnf(and_definition, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', and_definition)).
% 152.57/152.62 cnf(prove_alternative_wajsberg_axiom, negated_conjecture, (and_star(xor(and_star(xor(truth,x),y),truth),y)!=and_star(xor(and_star(xor(truth,y),x),truth),x)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_alternative_wajsberg_axiom)).
% 152.57/152.62 cnf(xor_definition, axiom, (xor(X1,X2)=or(and(X1,not(X2)),and(not(X1),X2))), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax', xor_definition)).
% 152.57/152.62 cnf(and_associativity, axiom, (and(and(X1,X2),X3)=and(X1,and(X2,X3))), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', and_associativity)).
% 152.57/152.62 cnf(xor_commutativity, axiom, (xor(X1,X2)=xor(X2,X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax', xor_commutativity)).
% 152.57/152.62 cnf(c_0_14, axiom, (or(X1,X2)=or(X2,X1)), or_commutativity).
% 152.57/152.62 cnf(c_0_15, axiom, (or(X1,X2)=implies(not(X1),X2)), or_definition).
% 152.57/152.62 cnf(c_0_16, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 152.57/152.62 cnf(c_0_17, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 152.57/152.62 cnf(c_0_18, axiom, (not(truth)=falsehood), false_definition).
% 152.57/152.62 cnf(c_0_19, plain, (implies(not(X1),X2)=implies(not(X2),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_15])).
% 152.57/152.62 cnf(c_0_20, plain, (implies(implies(not(X1),falsehood),X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])).
% 152.57/152.62 cnf(c_0_21, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 152.57/152.62 cnf(c_0_22, plain, (implies(not(X1),truth)=implies(falsehood,X1)), inference(spm,[status(thm)],[c_0_19, c_0_18])).
% 152.57/152.62 cnf(c_0_23, plain, (implies(implies(not(falsehood),X1),X1)=truth), inference(spm,[status(thm)],[c_0_20, c_0_19])).
% 152.57/152.62 cnf(c_0_24, plain, (implies(not(X1),not(X1))=implies(implies(falsehood,X1),truth)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_17])).
% 152.57/152.62 cnf(c_0_25, plain, (implies(implies(falsehood,falsehood),truth)=truth), inference(spm,[status(thm)],[c_0_20, c_0_18])).
% 152.57/152.62 cnf(c_0_26, plain, (not(falsehood)=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_17])).
% 152.57/152.62 cnf(c_0_27, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 152.57/152.62 cnf(c_0_28, plain, (implies(X1,X1)=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_26]), c_0_17])).
% 152.57/152.62 cnf(c_0_29, plain, (implies(X1,implies(implies(X1,X2),X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_17]), c_0_17])).
% 152.57/152.62 cnf(c_0_30, plain, (implies(implies(falsehood,X1),truth)=truth), inference(rw,[status(thm)],[c_0_24, c_0_28])).
% 152.57/152.62 cnf(c_0_31, plain, (implies(falsehood,X1)=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_22]), c_0_30]), c_0_22])).
% 152.57/152.62 cnf(c_0_32, plain, (implies(implies(X1,falsehood),falsehood)=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_31]), c_0_17])).
% 152.57/152.62 cnf(c_0_33, axiom, (or(or(X1,X2),X3)=or(X1,or(X2,X3))), or_associativity).
% 152.57/152.62 cnf(c_0_34, plain, (not(X1)=implies(X1,falsehood)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_19]), c_0_26]), c_0_17])).
% 152.57/152.62 cnf(c_0_35, plain, (implies(implies(X1,truth),truth)=implies(X1,X1)), inference(spm,[status(thm)],[c_0_21, c_0_17])).
% 152.57/152.62 cnf(c_0_36, plain, (implies(not(implies(not(X1),X2)),X3)=implies(not(X1),implies(not(X2),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_15]), c_0_15]), c_0_15]), c_0_15])).
% 152.57/152.62 cnf(c_0_37, plain, (implies(implies(X1,falsehood),X2)=implies(implies(X2,falsehood),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_34]), c_0_34])).
% 152.57/152.62 cnf(c_0_38, plain, (implies(implies(X1,truth),truth)=truth), inference(rw,[status(thm)],[c_0_35, c_0_28])).
% 152.57/152.62 cnf(c_0_39, plain, (implies(implies(implies(implies(X1,falsehood),X2),falsehood),X3)=implies(implies(X1,falsehood),implies(implies(X2,falsehood),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_34]), c_0_34]), c_0_34]), c_0_34])).
% 152.57/152.62 cnf(c_0_40, plain, (implies(X1,X2)=implies(implies(X2,falsehood),implies(X1,falsehood))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_37]), c_0_28]), c_0_17])).
% 152.57/152.62 cnf(c_0_41, plain, (implies(X1,truth)=truth), inference(spm,[status(thm)],[c_0_29, c_0_38])).
% 152.57/152.62 cnf(c_0_42, axiom, (and_star(X1,X2)=not(or(not(X1),not(X2)))), and_star_definition).
% 152.57/152.62 cnf(c_0_43, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), and_definition).
% 152.57/152.62 cnf(c_0_44, plain, (implies(implies(implies(X1,X2),falsehood),X3)=implies(X1,implies(implies(X2,falsehood),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_37]), c_0_28]), c_0_17]), c_0_28]), c_0_17])).
% 152.57/152.62 cnf(c_0_45, plain, (implies(X1,implies(X2,falsehood))=implies(X2,implies(X1,falsehood))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_37]), c_0_28]), c_0_17])).
% 152.57/152.62 cnf(c_0_46, plain, (implies(X1,implies(X2,X1))=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_41]), c_0_17]), c_0_17])).
% 152.57/152.62 cnf(c_0_47, negated_conjecture, (and_star(xor(and_star(xor(truth,x),y),truth),y)!=and_star(xor(and_star(xor(truth,y),x),truth),x)), prove_alternative_wajsberg_axiom).
% 152.57/152.62 cnf(c_0_48, plain, (and_star(X1,X2)=not(implies(not(not(X1)),not(X2)))), inference(rw,[status(thm)],[c_0_42, c_0_15])).
% 152.57/152.62 cnf(c_0_49, axiom, (xor(X1,X2)=or(and(X1,not(X2)),and(not(X1),X2))), xor_definition).
% 152.57/152.62 cnf(c_0_50, plain, (and(X1,X2)=not(implies(not(not(X1)),not(X2)))), inference(rw,[status(thm)],[c_0_43, c_0_15])).
% 152.57/152.62 cnf(c_0_51, axiom, (and(and(X1,X2),X3)=and(X1,and(X2,X3))), and_associativity).
% 152.57/152.62 cnf(c_0_52, plain, (implies(X1,implies(X2,X3))=implies(X2,implies(X1,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_44]), c_0_32]), c_0_32])).
% 152.57/152.62 cnf(c_0_53, plain, (implies(implies(implies(X1,X2),X2),X1)=implies(X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_21]), c_0_46]), c_0_17])).
% 152.57/152.62 cnf(c_0_54, negated_conjecture, (not(implies(not(not(xor(not(implies(not(not(xor(truth,y))),not(x))),truth))),not(x)))!=not(implies(not(not(xor(not(implies(not(not(xor(truth,x))),not(y))),truth))),not(y)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48]), c_0_48]), c_0_48]), c_0_48])).
% 152.57/152.62 cnf(c_0_55, axiom, (xor(X1,X2)=xor(X2,X1)), xor_commutativity).
% 152.57/152.62 cnf(c_0_56, plain, (xor(X1,X2)=implies(not(not(implies(not(not(X1)),not(not(X2))))),not(implies(not(not(not(X1))),not(X2))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_15]), c_0_50]), c_0_50])).
% 152.57/152.62 cnf(c_0_57, plain, (not(implies(not(not(not(implies(not(not(X1)),not(X2))))),not(X3)))=not(implies(not(not(X1)),not(not(implies(not(not(X2)),not(X3))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_50]), c_0_50]), c_0_50]), c_0_50])).
% 152.57/152.62 cnf(c_0_58, plain, (implies(implies(implies(X1,falsehood),X2),X1)=implies(X2,implies(implies(X1,implies(X2,falsehood)),falsehood))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_37]), c_0_52])).
% 152.57/152.62 cnf(c_0_59, plain, (implies(implies(X1,falsehood),implies(implies(implies(X1,X2),X2),X3))=implies(X2,implies(implies(X1,falsehood),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_53]), c_0_44]), c_0_52])).
% 152.57/152.62 cnf(c_0_60, negated_conjecture, (not(implies(not(not(y)),not(implies(not(not(implies(not(not(not(implies(not(not(falsehood)),not(y))))),not(implies(not(not(implies(not(not(falsehood)),not(x)))),not(implies(not(falsehood),not(not(x))))))))),not(implies(not(falsehood),not(not(not(implies(not(not(y)),not(implies(not(not(implies(not(not(falsehood)),not(x)))),not(implies(not(falsehood),not(not(x))))))))))))))))!=not(implies(not(not(x)),not(implies(not(not(implies(not(not(not(implies(not(not(falsehood)),not(x))))),not(implies(not(not(implies(not(not(falsehood)),not(y)))),not(implies(not(falsehood),not(not(y))))))))),not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(not(falsehood)),not(y)))),not(implies(not(falsehood),not(not(y))))))))))))))))), 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)],[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)],[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_54, c_0_55]), c_0_55]), c_0_55]), c_0_55]), c_0_56]), c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_19]), c_0_56]), c_0_18]), c_0_18]), c_0_57]), c_0_19]), c_0_19]), c_0_56]), c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_19]), c_0_56]), c_0_18]), c_0_18]), c_0_57]), c_0_19]), c_0_19])).
% 152.57/152.62 cnf(c_0_61, plain, (implies(implies(X1,X2),implies(implies(implies(X2,X1),X1),falsehood))=implies(X2,falsehood)), 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_58, c_0_59]), c_0_32]), c_0_29]), c_0_17]), c_0_32]), c_0_52])).
% 152.57/152.62 cnf(c_0_62, negated_conjecture, (not(implies(not(not(y)),not(implies(not(not(implies(not(not(not(implies(falsehood,not(y))))),not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))))),not(not(not(not(implies(not(not(y)),not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))))))))))!=not(implies(not(not(x)),not(implies(not(not(implies(not(not(not(implies(falsehood,not(x))))),not(implies(not(not(implies(falsehood,not(y)))),not(not(not(y)))))))),not(not(not(not(implies(not(not(x)),not(implies(not(not(implies(falsehood,not(y)))),not(not(not(y))))))))))))))), 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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_26]), c_0_18]), c_0_26]), c_0_18]), c_0_26]), c_0_17]), c_0_26]), c_0_26]), c_0_18]), c_0_26]), c_0_17]), c_0_17]), c_0_26]), c_0_18]), c_0_26]), c_0_18]), c_0_26]), c_0_17]), c_0_26]), c_0_26]), c_0_18]), c_0_26]), c_0_17]), c_0_17])).
% 152.57/152.62 cnf(c_0_63, plain, (implies(implies(X1,X2),implies(implies(implies(X2,X1),X1),X3))=implies(X2,X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_61]), c_0_32]), c_0_44]), c_0_32])).
% 152.57/152.62 cnf(c_0_64, negated_conjecture, (implies(implies(x,implies(implies(x,y),falsehood)),falsehood)!=implies(implies(y,implies(implies(y,x),falsehood)),falsehood)), 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)],[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)],[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)],[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)],[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)],[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)],[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_62, c_0_31]), c_0_18]), c_0_26]), c_0_18]), c_0_31]), c_0_18]), c_0_26]), c_0_17]), c_0_31]), c_0_18]), c_0_26]), c_0_31]), c_0_18]), c_0_26]), c_0_17]), c_0_17]), c_0_31]), c_0_18]), c_0_26]), c_0_18]), c_0_31]), c_0_18]), c_0_26]), c_0_17]), c_0_31]), c_0_18]), c_0_26]), c_0_31]), c_0_18]), c_0_26]), c_0_17]), c_0_17]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34]), c_0_32]), c_0_34]), c_0_34])).
% 152.57/152.62 cnf(c_0_65, plain, (implies(X1,implies(implies(X1,X2),X3))=implies(X2,implies(implies(X2,X1),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_63]), c_0_52]), c_0_46]), c_0_17])).
% 152.57/152.62 cnf(c_0_66, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])]), ['proof']).
% 152.57/152.62 % SZS output end Proof
% 152.57/152.62 % User time : 149.955 s
% 152.57/152.62 % System time : 2.172 s
% 152.57/152.62 % Total time : 152.127 s
% 152.57/152.62
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