%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n014.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 0.25s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.10/0.34 % Computer : n014.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sat Sep 5 08:06:27 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 0.25/0.53 % Version : CSI_E---1.1
% 0.25/0.53 % Problem : theBenchmark.p
% 0.25/0.53 % Proof found!
% 0.25/0.53 # SZS status Unsatisfiable
% 0.25/0.53 % SZS output start Proof
% 0.25/0.53 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)).
% 0.25/0.53 cnf(lemma_antecedent, negated_conjecture, (implies(X1,X2)=implies(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lemma_antecedent)).
% 0.25/0.53 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.25/0.53 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)).
% 0.25/0.53 cnf(prove_wajsberg_lemma, negated_conjecture, (x!=y), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_wajsberg_lemma)).
% 0.25/0.53 cnf(c_0_5, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 0.25/0.53 cnf(c_0_6, negated_conjecture, (implies(X1,X2)=implies(X2,X1)), lemma_antecedent).
% 0.25/0.53 cnf(c_0_7, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.25/0.53 cnf(c_0_8, plain, (implies(X1,implies(X2,X1))=implies(X2,implies(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5, c_0_6]), c_0_6])).
% 0.25/0.53 cnf(c_0_9, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 0.25/0.53 cnf(c_0_10, negated_conjecture, (implies(X1,truth)=X1), inference(spm,[status(thm)],[c_0_7, c_0_6])).
% 0.25/0.53 cnf(c_0_11, negated_conjecture, (implies(X1,implies(X2,X1))=implies(X2,implies(X2,X1))), inference(spm,[status(thm)],[c_0_8, c_0_6])).
% 0.25/0.53 cnf(c_0_12, plain, (implies(implies(X1,X2),implies(not(X2),not(X1)))=truth), inference(rw,[status(thm)],[c_0_9, c_0_6])).
% 0.25/0.53 cnf(c_0_13, plain, (implies(X1,X1)=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_7]), c_0_10])).
% 0.25/0.53 cnf(c_0_14, negated_conjecture, (implies(X1,implies(X1,implies(X2,X1)))=implies(X2,implies(X1,implies(X2,X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_11]), c_0_8]), c_0_6])).
% 0.25/0.53 cnf(c_0_15, plain, (implies(X1,not(X1))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_13])).
% 0.25/0.53 cnf(c_0_16, negated_conjecture, (not(X1)=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_10]), c_0_13]), c_0_10]), c_0_15])).
% 0.25/0.53 cnf(c_0_17, negated_conjecture, (x!=y), prove_wajsberg_lemma).
% 0.25/0.53 cnf(c_0_18, plain, (X1=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16]), c_0_10])).
% 0.25/0.53 cnf(c_0_19, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18]), c_0_18])]), ['proof']).
% 0.25/0.53 % SZS output end Proof
% 0.25/0.53 % User time : 0.027 s
% 0.25/0.53 % System time : 0.007 s
% 0.25/0.53 % Total time : 0.034 s
% 0.25/0.53
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