%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL155-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n008.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 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL155-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.33 % Computer : n008.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Sat Sep 5 12:23:23 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.13/0.45 start to proof:theBenchmark.p
% 0.25/0.52 % Version : CSI_E---1.1
% 0.25/0.52 % Problem : theBenchmark.p
% 0.25/0.52 % Proof found!
% 0.25/0.52 # SZS status Unsatisfiable
% 0.25/0.52 % SZS output start Proof
% 0.25/0.52 cnf(wajsberg_4, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_4)).
% 0.25/0.52 cnf(or_definition, axiom, (or(X1,X2)=implies(not(X1),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax', or_definition)).
% 0.25/0.52 cnf(wajsberg_2, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_2)).
% 0.25/0.52 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.25/0.52 cnf(false_definition, axiom, (not(truth)=falsehood), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax', false_definition)).
% 0.25/0.52 cnf(and_star_definition, axiom, (and_star(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax', and_star_definition)).
% 0.25/0.52 cnf(and_definition, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax', and_definition)).
% 0.25/0.52 cnf(or_commutativity, axiom, (or(X1,X2)=or(X2,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax', or_commutativity)).
% 0.25/0.52 cnf(xor_definition, axiom, (xor(X1,X2)=or(and(X1,not(X2)),and(not(X1),X2))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax', xor_definition)).
% 0.25/0.52 cnf(and_star_commutativity, axiom, (and_star(X1,X2)=and_star(X2,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax', and_star_commutativity)).
% 0.25/0.52 cnf(prove_alternative_wajsberg_axiom, negated_conjecture, (xor(x,x)!=falsehood), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_alternative_wajsberg_axiom)).
% 0.25/0.52 cnf(c_0_11, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 0.25/0.52 cnf(c_0_12, axiom, (or(X1,X2)=implies(not(X1),X2)), or_definition).
% 0.25/0.52 cnf(c_0_13, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 0.25/0.52 cnf(c_0_14, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.25/0.52 cnf(c_0_15, plain, (implies(or(X1,not(X2)),implies(X2,X1))=truth), inference(rw,[status(thm)],[c_0_11, c_0_12])).
% 0.25/0.52 cnf(c_0_16, axiom, (not(truth)=falsehood), false_definition).
% 0.25/0.52 cnf(c_0_17, plain, (implies(X1,implies(implies(X1,X2),X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_14])).
% 0.25/0.52 cnf(c_0_18, axiom, (and_star(X1,X2)=not(or(not(X1),not(X2)))), and_star_definition).
% 0.25/0.52 cnf(c_0_19, axiom, (and(X1,X2)=not(or(not(X1),not(X2)))), and_definition).
% 0.25/0.52 cnf(c_0_20, plain, (implies(or(X1,falsehood),X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_14]), c_0_16])).
% 0.25/0.52 cnf(c_0_21, axiom, (or(X1,X2)=or(X2,X1)), or_commutativity).
% 0.25/0.52 cnf(c_0_22, plain, (implies(X1,X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_17]), c_0_14])).
% 0.25/0.52 cnf(c_0_23, plain, (and(X1,X2)=and_star(X1,X2)), inference(rw,[status(thm)],[c_0_18, c_0_19])).
% 0.25/0.52 cnf(c_0_24, plain, (implies(or(falsehood,X1),X1)=truth), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 0.25/0.52 cnf(c_0_25, plain, (or(X1,not(X1))=truth), inference(spm,[status(thm)],[c_0_12, c_0_22])).
% 0.25/0.52 cnf(c_0_26, axiom, (xor(X1,X2)=or(and(X1,not(X2)),and(not(X1),X2))), xor_definition).
% 0.25/0.52 cnf(c_0_27, plain, (not(or(not(X1),not(X2)))=and_star(X1,X2)), inference(rw,[status(thm)],[c_0_19, c_0_23])).
% 0.25/0.52 cnf(c_0_28, plain, (not(falsehood)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_14])).
% 0.25/0.52 cnf(c_0_29, 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_26, c_0_23]), c_0_23])).
% 0.25/0.52 cnf(c_0_30, plain, (and_star(X1,not(X1))=falsehood), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_25]), c_0_16])).
% 0.25/0.52 cnf(c_0_31, plain, (or(falsehood,X1)=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_28]), c_0_14])).
% 0.25/0.52 cnf(c_0_32, axiom, (and_star(X1,X2)=and_star(X2,X1)), and_star_commutativity).
% 0.25/0.52 cnf(c_0_33, negated_conjecture, (xor(x,x)!=falsehood), prove_alternative_wajsberg_axiom).
% 0.25/0.52 cnf(c_0_34, plain, (xor(X1,X1)=falsehood), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31]), c_0_32]), c_0_30])).
% 0.25/0.52 cnf(c_0_35, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])]), ['proof']).
% 0.25/0.52 % SZS output end Proof
% 0.25/0.52 % User time : 0.036 s
% 0.25/0.52 % System time : 0.004 s
% 0.25/0.52 % Total time : 0.040 s
% 0.25/0.52
%------------------------------------------------------------------------------