%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL154-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:20:25 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL154-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n017.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 00:20:21 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.25/0.47 start to proof:theBenchmark.p
% 0.25/0.54 % Version : CSI_E---1.1
% 0.25/0.54 % Problem : theBenchmark.p
% 0.25/0.54 % Proof found!
% 0.25/0.54 # SZS status Unsatisfiable
% 0.25/0.54 % SZS output start Proof
% 0.25/0.54 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)).
% 0.25/0.54 cnf(or_definition, axiom, (or(X1,X2)=implies(not(X1),X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', or_definition)).
% 0.25/0.54 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)).
% 0.25/0.54 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.25/0.54 cnf(false_definition, axiom, (not(truth)=falsehood), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax', false_definition)).
% 0.25/0.54 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)).
% 0.25/0.54 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)).
% 0.25/0.54 cnf(and_definition, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', and_definition)).
% 0.25/0.54 cnf(or_commutativity, axiom, (or(X1,X2)=or(X2,X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', or_commutativity)).
% 0.25/0.54 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)).
% 0.25/0.54 cnf(and_star_commutativity, axiom, (and_star(X1,X2)=and_star(X2,X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax', and_star_commutativity)).
% 0.25/0.54 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)).
% 0.25/0.54 cnf(prove_alternative_wajsberg_axiom, negated_conjecture, (xor(x,falsehood)!=x), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_alternative_wajsberg_axiom)).
% 0.25/0.54 cnf(xor_commutativity, axiom, (xor(X1,X2)=xor(X2,X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax', xor_commutativity)).
% 0.25/0.54 cnf(c_0_14, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 0.25/0.54 cnf(c_0_15, axiom, (or(X1,X2)=implies(not(X1),X2)), or_definition).
% 0.25/0.54 cnf(c_0_16, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 0.25/0.54 cnf(c_0_17, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.25/0.54 cnf(c_0_18, plain, (implies(or(X1,not(X2)),implies(X2,X1))=truth), inference(rw,[status(thm)],[c_0_14, c_0_15])).
% 0.25/0.54 cnf(c_0_19, axiom, (not(truth)=falsehood), false_definition).
% 0.25/0.54 cnf(c_0_20, plain, (implies(X1,implies(implies(X1,X2),X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_17])).
% 0.25/0.54 cnf(c_0_21, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 0.25/0.54 cnf(c_0_22, axiom, (and_star(X1,X2)=not(or(not(X1),not(X2)))), and_star_definition).
% 0.25/0.54 cnf(c_0_23, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), and_definition).
% 0.25/0.54 cnf(c_0_24, plain, (implies(or(X1,falsehood),X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_17]), c_0_19])).
% 0.25/0.54 cnf(c_0_25, axiom, (or(X1,X2)=or(X2,X1)), or_commutativity).
% 0.25/0.54 cnf(c_0_26, plain, (implies(X1,X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_20]), c_0_17])).
% 0.25/0.54 cnf(c_0_27, plain, (implies(implies(X1,truth),truth)=implies(X1,X1)), inference(spm,[status(thm)],[c_0_21, c_0_17])).
% 0.25/0.54 cnf(c_0_28, plain, (and(X1,X2)=and_star(X1,X2)), inference(rw,[status(thm)],[c_0_22, c_0_23])).
% 0.25/0.54 cnf(c_0_29, plain, (implies(or(falsehood,X1),X1)=truth), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.25/0.54 cnf(c_0_30, plain, (or(X1,not(X1))=truth), inference(spm,[status(thm)],[c_0_15, c_0_26])).
% 0.25/0.54 cnf(c_0_31, plain, (implies(implies(X1,truth),truth)=truth), inference(rw,[status(thm)],[c_0_27, c_0_26])).
% 0.25/0.54 cnf(c_0_32, plain, (not(or(not(X1),not(X2)))=and_star(X1,X2)), inference(rw,[status(thm)],[c_0_23, c_0_28])).
% 0.25/0.54 cnf(c_0_33, plain, (not(falsehood)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_17])).
% 0.25/0.54 cnf(c_0_34, plain, (implies(X1,truth)=truth), inference(spm,[status(thm)],[c_0_20, c_0_31])).
% 0.25/0.54 cnf(c_0_35, plain, (not(or(falsehood,not(X1)))=and_star(X1,truth)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_19]), c_0_25])).
% 0.25/0.54 cnf(c_0_36, plain, (or(falsehood,X1)=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_33]), c_0_17])).
% 0.25/0.54 cnf(c_0_37, plain, (or(X1,truth)=truth), inference(spm,[status(thm)],[c_0_15, c_0_34])).
% 0.25/0.54 cnf(c_0_38, plain, (implies(or(not(X1),X2),implies(X1,X2))=truth), inference(spm,[status(thm)],[c_0_18, c_0_25])).
% 0.25/0.54 cnf(c_0_39, plain, (not(not(X1))=and_star(X1,truth)), inference(rw,[status(thm)],[c_0_35, c_0_36])).
% 0.25/0.54 cnf(c_0_40, axiom, (or(or(X1,X2),X3)=or(X1,or(X2,X3))), or_associativity).
% 0.25/0.54 cnf(c_0_41, plain, (or(X1,falsehood)=X1), inference(spm,[status(thm)],[c_0_25, c_0_36])).
% 0.25/0.54 cnf(c_0_42, plain, (implies(falsehood,X1)=or(truth,X1)), inference(spm,[status(thm)],[c_0_15, c_0_19])).
% 0.25/0.54 cnf(c_0_43, plain, (or(truth,X1)=truth), inference(spm,[status(thm)],[c_0_25, c_0_37])).
% 0.25/0.54 cnf(c_0_44, plain, (implies(X1,and_star(X1,truth))=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_30]), c_0_17]), c_0_39])).
% 0.25/0.54 cnf(c_0_45, axiom, (and_star(X1,X2)=and_star(X2,X1)), and_star_commutativity).
% 0.25/0.54 cnf(c_0_46, plain, (or(not(X1),or(not(X2),X3))=implies(and_star(X1,X2),X3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_32]), c_0_40])).
% 0.25/0.54 cnf(c_0_47, plain, (or(X1,implies(X1,falsehood))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_41]), c_0_15])).
% 0.25/0.54 cnf(c_0_48, plain, (implies(falsehood,X1)=truth), inference(rw,[status(thm)],[c_0_42, c_0_43])).
% 0.25/0.54 cnf(c_0_49, plain, (implies(X1,and_star(truth,X1))=truth), inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 0.25/0.54 cnf(c_0_50, plain, (implies(and_star(X1,X2),X2)=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_37]), c_0_15]), c_0_41])).
% 0.25/0.54 cnf(c_0_51, axiom, (xor(X1,X2)=or(and(X1,not(X2)),and(not(X1),X2))), xor_definition).
% 0.25/0.54 cnf(c_0_52, plain, (implies(implies(X1,falsehood),falsehood)=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_48]), c_0_17])).
% 0.25/0.54 cnf(c_0_53, plain, (and_star(truth,X1)=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_49]), c_0_17]), c_0_50]), c_0_17])).
% 0.25/0.54 cnf(c_0_54, plain, (or(and_star(X1,not(X2)),and_star(not(X1),X2))=xor(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_28]), c_0_28])).
% 0.25/0.54 cnf(c_0_55, plain, (and_star(X1,falsehood)=falsehood), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_50]), c_0_17])).
% 0.25/0.54 cnf(c_0_56, plain, (and_star(X1,truth)=X1), inference(spm,[status(thm)],[c_0_45, c_0_53])).
% 0.25/0.54 cnf(c_0_57, negated_conjecture, (xor(x,falsehood)!=x), prove_alternative_wajsberg_axiom).
% 0.25/0.54 cnf(c_0_58, axiom, (xor(X1,X2)=xor(X2,X1)), xor_commutativity).
% 0.25/0.54 cnf(c_0_59, plain, (xor(X1,falsehood)=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_33]), c_0_56]), c_0_41])).
% 0.25/0.54 cnf(c_0_60, negated_conjecture, (xor(falsehood,x)!=x), inference(rw,[status(thm)],[c_0_57, c_0_58])).
% 0.25/0.54 cnf(c_0_61, plain, (xor(falsehood,X1)=X1), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 0.25/0.54 cnf(c_0_62, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])]), ['proof']).
% 0.25/0.54 % SZS output end Proof
% 0.25/0.54 % User time : 0.038 s
% 0.25/0.54 % System time : 0.008 s
% 0.25/0.54 % Total time : 0.047 s
% 0.25/0.54
%------------------------------------------------------------------------------