%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL138-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n013.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 11:20:23 AM UTC 2026
% Result : Unsatisfiable 0.63s 0.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL138-1 : 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 : n013.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 : Sat Sep 5 00:09:50 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 0.63/0.81 % Version : CSI_E---1.1
% 0.63/0.81 % Problem : theBenchmark.p
% 0.63/0.81 % Proof found!
% 0.63/0.81 # SZS status Unsatisfiable
% 0.63/0.81 % SZS output start Proof
% 0.63/0.81 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)).
% 0.63/0.81 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.63/0.81 cnf(wajsberg_3, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_3)).
% 0.63/0.81 cnf(prove_wajsberg_lemma, negated_conjecture, (implies(x,implies(y,z))!=implies(y,implies(x,z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_wajsberg_lemma)).
% 0.63/0.81 cnf(c_0_4, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 0.63/0.81 cnf(c_0_5, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.63/0.81 cnf(c_0_6, plain, (implies(X1,implies(implies(X1,X2),X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_5]), c_0_5])).
% 0.63/0.81 cnf(c_0_7, plain, (implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_4]), c_0_5])).
% 0.63/0.81 cnf(c_0_8, plain, (implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_6]), c_0_5])).
% 0.63/0.81 cnf(c_0_9, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 0.63/0.81 cnf(c_0_10, plain, (implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_5])).
% 0.63/0.81 cnf(c_0_11, negated_conjecture, (implies(x,implies(y,z))!=implies(y,implies(x,z))), prove_wajsberg_lemma).
% 0.63/0.81 cnf(c_0_12, 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_9, c_0_10]), c_0_5]), c_0_10]), c_0_5])).
% 0.63/0.81 cnf(c_0_13, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])]), ['proof']).
% 0.63/0.81 % SZS output end Proof
% 0.63/0.81 % User time : 0.324 s
% 0.63/0.81 % System time : 0.015 s
% 0.63/0.81 % Total time : 0.340 s
% 0.63/0.81
%------------------------------------------------------------------------------