%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL113-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n011.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 11:20:21 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL113-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n011.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 4 20:15:43 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 0.23/0.54 % Version : CSI_E---1.1
% 0.23/0.54 % Problem : theBenchmark.p
% 0.23/0.54 % Proof found!
% 0.23/0.54 # SZS status Unsatisfiable
% 0.23/0.54 % SZS output start Proof
% 0.23/0.54 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)).
% 0.23/0.54 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.23/0.54 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)).
% 0.23/0.54 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)).
% 0.23/0.54 cnf(prove_mv_33, negated_conjecture, (implies(implies(not(x),y),implies(not(y),x))!=truth), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_mv_33)).
% 0.23/0.54 cnf(c_0_5, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 0.23/0.54 cnf(c_0_6, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.23/0.54 cnf(c_0_7, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 0.23/0.54 cnf(c_0_8, plain, (implies(X1,implies(implies(X1,X2),X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6]), c_0_6])).
% 0.23/0.54 cnf(c_0_9, plain, (implies(implies(X1,truth),truth)=implies(X1,X1)), inference(spm,[status(thm)],[c_0_7, c_0_6])).
% 0.23/0.54 cnf(c_0_10, plain, (implies(X1,X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_8]), c_0_6])).
% 0.23/0.54 cnf(c_0_11, plain, (implies(implies(X1,truth),truth)=truth), inference(rw,[status(thm)],[c_0_9, c_0_10])).
% 0.23/0.54 cnf(c_0_12, plain, (implies(X1,truth)=truth), inference(spm,[status(thm)],[c_0_8, c_0_11])).
% 0.23/0.54 cnf(c_0_13, plain, (implies(X1,implies(X2,X1))=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_12]), c_0_6]), c_0_6])).
% 0.23/0.54 cnf(c_0_14, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 0.23/0.54 cnf(c_0_15, plain, (implies(implies(implies(X1,X2),X3),implies(X2,X3))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_13]), c_0_6])).
% 0.23/0.54 cnf(c_0_16, plain, (implies(implies(not(X1),not(truth)),X1)=truth), inference(spm,[status(thm)],[c_0_14, c_0_6])).
% 0.23/0.54 cnf(c_0_17, plain, (implies(not(truth),X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_6])).
% 0.23/0.54 cnf(c_0_18, plain, (implies(not(X1),implies(X1,X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_14]), c_0_6])).
% 0.23/0.54 cnf(c_0_19, plain, (implies(implies(X1,not(truth)),not(truth))=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_17]), c_0_6])).
% 0.23/0.54 cnf(c_0_20, plain, (implies(not(implies(X1,not(truth))),X1)=truth), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 0.23/0.54 cnf(c_0_21, plain, (implies(X1,implies(not(X1),not(truth)))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_20]), c_0_6])).
% 0.23/0.54 cnf(c_0_22, plain, (implies(not(X1),not(truth))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_21]), c_0_6]), c_0_16]), c_0_6])).
% 0.23/0.54 cnf(c_0_23, plain, (implies(X1,not(truth))=not(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_22]), c_0_17]), c_0_6])).
% 0.23/0.54 cnf(c_0_24, plain, (implies(implies(X1,X2),implies(not(X2),not(X1)))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_23]), c_0_23])).
% 0.23/0.54 cnf(c_0_25, plain, (implies(not(X1),not(X2))=implies(X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_24]), c_0_6]), c_0_14]), c_0_6])).
% 0.23/0.54 cnf(c_0_26, plain, (not(not(X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_23]), c_0_23])).
% 0.23/0.54 cnf(c_0_27, negated_conjecture, (implies(implies(not(x),y),implies(not(y),x))!=truth), prove_mv_33).
% 0.23/0.54 cnf(c_0_28, plain, (implies(not(X1),X2)=implies(not(X2),X1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 0.23/0.54 cnf(c_0_29, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28]), c_0_10])]), ['proof']).
% 0.23/0.54 % SZS output end Proof
% 0.23/0.54 % User time : 0.042 s
% 0.23/0.54 % System time : 0.005 s
% 0.23/0.54 % Total time : 0.047 s
% 0.23/0.54
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