%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL153-1 : 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 0.24s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL153-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.34 % Computer : n004.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 11:46:59 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 0.24/0.54 % Version : CSI_E---1.1
% 0.24/0.54 % Problem : theBenchmark.p
% 0.24/0.54 % Proof found!
% 0.24/0.54 # SZS status Unsatisfiable
% 0.24/0.54 % SZS output start Proof
% 0.24/0.54 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)).
% 0.24/0.54 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.24/0.54 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)).
% 0.24/0.54 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)).
% 0.24/0.54 cnf(or_definition, axiom, (or(X1,X2)=implies(not(X1),X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', or_definition)).
% 0.24/0.54 cnf(false_definition, axiom, (not(truth)=falsehood), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax', false_definition)).
% 0.24/0.54 cnf(or_commutativity, axiom, (or(X1,X2)=or(X2,X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', or_commutativity)).
% 0.24/0.54 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)).
% 0.24/0.54 cnf(and_definition, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax', and_definition)).
% 0.24/0.54 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)).
% 0.24/0.54 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)).
% 0.24/0.54 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)).
% 0.24/0.54 cnf(prove_alternative_wajsberg_axiom, negated_conjecture, (not(x)!=xor(x,truth)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_alternative_wajsberg_axiom)).
% 0.24/0.54 cnf(xor_commutativity, axiom, (xor(X1,X2)=xor(X2,X1)), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax', xor_commutativity)).
% 0.24/0.54 cnf(c_0_14, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 0.24/0.54 cnf(c_0_15, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.24/0.54 cnf(c_0_16, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 0.24/0.54 cnf(c_0_17, plain, (implies(X1,implies(implies(X1,X2),X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_15])).
% 0.24/0.54 cnf(c_0_18, plain, (implies(implies(X1,truth),truth)=implies(X1,X1)), inference(spm,[status(thm)],[c_0_16, c_0_15])).
% 0.24/0.54 cnf(c_0_19, plain, (implies(X1,X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_17]), c_0_15])).
% 0.24/0.54 cnf(c_0_20, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 0.24/0.54 cnf(c_0_21, axiom, (or(X1,X2)=implies(not(X1),X2)), or_definition).
% 0.24/0.54 cnf(c_0_22, plain, (implies(implies(X1,truth),truth)=truth), inference(rw,[status(thm)],[c_0_18, c_0_19])).
% 0.24/0.54 cnf(c_0_23, plain, (implies(or(X1,not(X2)),implies(X2,X1))=truth), inference(rw,[status(thm)],[c_0_20, c_0_21])).
% 0.24/0.54 cnf(c_0_24, axiom, (not(truth)=falsehood), false_definition).
% 0.24/0.54 cnf(c_0_25, plain, (implies(X1,truth)=truth), inference(spm,[status(thm)],[c_0_17, c_0_22])).
% 0.24/0.54 cnf(c_0_26, plain, (implies(or(X1,falsehood),X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_15]), c_0_24])).
% 0.24/0.54 cnf(c_0_27, axiom, (or(X1,X2)=or(X2,X1)), or_commutativity).
% 0.24/0.54 cnf(c_0_28, axiom, (and_star(X1,X2)=not(or(not(X1),not(X2)))), and_star_definition).
% 0.24/0.54 cnf(c_0_29, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), and_definition).
% 0.24/0.54 cnf(c_0_30, plain, (or(X1,truth)=truth), inference(spm,[status(thm)],[c_0_21, c_0_25])).
% 0.24/0.54 cnf(c_0_31, plain, (implies(or(falsehood,X1),X1)=truth), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 0.24/0.54 cnf(c_0_32, plain, (or(X1,not(X1))=truth), inference(spm,[status(thm)],[c_0_21, c_0_19])).
% 0.24/0.54 cnf(c_0_33, plain, (and(X1,X2)=and_star(X1,X2)), inference(rw,[status(thm)],[c_0_28, c_0_29])).
% 0.24/0.54 cnf(c_0_34, plain, (implies(falsehood,X1)=or(truth,X1)), inference(spm,[status(thm)],[c_0_21, c_0_24])).
% 0.24/0.54 cnf(c_0_35, plain, (or(truth,X1)=truth), inference(spm,[status(thm)],[c_0_27, c_0_30])).
% 0.24/0.54 cnf(c_0_36, plain, (not(falsehood)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_15])).
% 0.24/0.54 cnf(c_0_37, plain, (not(or(not(X1),not(X2)))=and_star(X1,X2)), inference(rw,[status(thm)],[c_0_29, c_0_33])).
% 0.24/0.54 cnf(c_0_38, plain, (implies(falsehood,X1)=truth), inference(rw,[status(thm)],[c_0_34, c_0_35])).
% 0.24/0.54 cnf(c_0_39, plain, (or(falsehood,X1)=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_36]), c_0_15])).
% 0.24/0.54 cnf(c_0_40, axiom, (or(or(X1,X2),X3)=or(X1,or(X2,X3))), or_associativity).
% 0.24/0.54 cnf(c_0_41, plain, (not(or(falsehood,not(X1)))=and_star(X1,truth)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_24]), c_0_27])).
% 0.24/0.54 cnf(c_0_42, plain, (implies(implies(X1,falsehood),falsehood)=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_38]), c_0_15])).
% 0.24/0.54 cnf(c_0_43, plain, (or(X1,falsehood)=X1), inference(spm,[status(thm)],[c_0_27, c_0_39])).
% 0.24/0.54 cnf(c_0_44, plain, (or(not(X1),or(not(X2),X3))=implies(and_star(X1,X2),X3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_37]), c_0_40])).
% 0.24/0.54 cnf(c_0_45, plain, (or(X1,implies(X1,falsehood))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_39]), c_0_21])).
% 0.24/0.54 cnf(c_0_46, axiom, (and_star(X1,X2)=and_star(X2,X1)), and_star_commutativity).
% 0.24/0.54 cnf(c_0_47, plain, (and_star(X1,truth)=not(not(X1))), inference(rw,[status(thm)],[c_0_41, c_0_39])).
% 0.24/0.54 cnf(c_0_48, plain, (implies(X1,falsehood)=not(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_21]), c_0_43])).
% 0.24/0.54 cnf(c_0_49, 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_44, c_0_45]), c_0_30]), c_0_21]), c_0_43])).
% 0.24/0.54 cnf(c_0_50, axiom, (xor(X1,X2)=or(and(X1,not(X2)),and(not(X1),X2))), xor_definition).
% 0.24/0.54 cnf(c_0_51, plain, (and_star(truth,X1)=not(not(X1))), inference(spm,[status(thm)],[c_0_46, c_0_47])).
% 0.24/0.54 cnf(c_0_52, plain, (not(not(X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_48]), c_0_48])).
% 0.24/0.54 cnf(c_0_53, plain, (implies(and_star(X1,X2),X1)=truth), inference(spm,[status(thm)],[c_0_49, c_0_46])).
% 0.24/0.54 cnf(c_0_54, negated_conjecture, (not(x)!=xor(x,truth)), prove_alternative_wajsberg_axiom).
% 0.24/0.54 cnf(c_0_55, axiom, (xor(X1,X2)=xor(X2,X1)), xor_commutativity).
% 0.24/0.54 cnf(c_0_56, 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_50, c_0_33]), c_0_33])).
% 0.24/0.54 cnf(c_0_57, plain, (and_star(truth,X1)=X1), inference(rw,[status(thm)],[c_0_51, c_0_52])).
% 0.24/0.54 cnf(c_0_58, plain, (and_star(falsehood,X1)=falsehood), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_53]), c_0_15])).
% 0.24/0.54 cnf(c_0_59, negated_conjecture, (not(x)!=xor(truth,x)), inference(rw,[status(thm)],[c_0_54, c_0_55])).
% 0.24/0.54 cnf(c_0_60, plain, (not(X1)=xor(truth,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_24]), c_0_58]), c_0_27]), c_0_39])).
% 0.24/0.54 cnf(c_0_61, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_60])]), ['proof']).
% 0.24/0.54 % SZS output end Proof
% 0.24/0.54 % User time : 0.034 s
% 0.24/0.54 % System time : 0.010 s
% 0.24/0.54 % Total time : 0.044 s
% 0.24/0.54
%------------------------------------------------------------------------------