%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL109-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n019.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 11:20:20 AM UTC 2026
% Result : Unsatisfiable 0.71s 0.91s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL109-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 20:27:38 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.42 start to proof:theBenchmark.p
% 0.71/0.91 % Version : CSI_E---1.1
% 0.71/0.91 % Problem : theBenchmark.p
% 0.71/0.91 % Proof found!
% 0.71/0.91 # SZS status Unsatisfiable
% 0.71/0.91 % SZS output start Proof
% 0.71/0.91 cnf(prove_wajsberg_mv_4, negated_conjecture, (implies(implies(implies(a,b),implies(b,a)),implies(b,a))!=truth), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_wajsberg_mv_4)).
% 0.71/0.91 cnf(lemma_10, axiom, (implies(not(X1),not(X2))=implies(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lemma_10)).
% 0.71/0.91 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)).
% 0.71/0.91 cnf(lemma_9, axiom, (not(not(X1))=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lemma_9)).
% 0.71/0.91 cnf(lemma_7, axiom, (implies(X1,implies(X2,X3))=implies(X2,implies(X1,X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lemma_7)).
% 0.71/0.91 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)).
% 0.71/0.91 cnf(lemma_4, axiom, (implies(X1,implies(X2,X1))=truth), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lemma_4)).
% 0.71/0.91 cnf(lemma_8, axiom, (implies(X1,not(truth))=not(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lemma_8)).
% 0.71/0.91 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.71/0.91 cnf(c_0_9, negated_conjecture, (implies(implies(implies(a,b),implies(b,a)),implies(b,a))!=truth), prove_wajsberg_mv_4).
% 0.71/0.91 cnf(c_0_10, axiom, (implies(not(X1),not(X2))=implies(X2,X1)), lemma_10).
% 0.71/0.91 cnf(c_0_11, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 0.71/0.91 cnf(c_0_12, negated_conjecture, (implies(not(implies(b,a)),not(implies(implies(a,b),implies(b,a))))!=truth), inference(rw,[status(thm)],[c_0_9, c_0_10])).
% 0.71/0.91 cnf(c_0_13, plain, (implies(not(X1),not(implies(X2,X1)))=implies(not(X2),not(implies(X1,X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_10]), c_0_10])).
% 0.71/0.91 cnf(c_0_14, axiom, (not(not(X1))=X1), lemma_9).
% 0.71/0.91 cnf(c_0_15, negated_conjecture, (implies(not(implies(a,b)),not(implies(implies(b,a),implies(a,b))))!=truth), inference(rw,[status(thm)],[c_0_12, c_0_13])).
% 0.71/0.91 cnf(c_0_16, axiom, (implies(X1,implies(X2,X3))=implies(X2,implies(X1,X3))), lemma_7).
% 0.71/0.91 cnf(c_0_17, plain, (implies(not(X1),X2)=implies(not(X2),X1)), inference(spm,[status(thm)],[c_0_10, c_0_14])).
% 0.71/0.91 cnf(c_0_18, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 0.71/0.91 cnf(c_0_19, plain, (implies(X1,not(X2))=implies(X2,not(X1))), inference(spm,[status(thm)],[c_0_10, c_0_14])).
% 0.71/0.91 cnf(c_0_20, axiom, (implies(X1,implies(X2,X1))=truth), lemma_4).
% 0.71/0.91 cnf(c_0_21, axiom, (implies(X1,not(truth))=not(X1)), lemma_8).
% 0.71/0.91 cnf(c_0_22, negated_conjecture, (implies(not(implies(a,b)),not(implies(a,implies(not(b),not(implies(b,a))))))!=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16]), c_0_10])).
% 0.71/0.91 cnf(c_0_23, plain, (implies(not(implies(X1,X2)),X3)=implies(X1,implies(not(X3),X2))), inference(spm,[status(thm)],[c_0_17, c_0_16])).
% 0.71/0.91 cnf(c_0_24, plain, (implies(implies(not(X1),X2),implies(not(X3),implies(implies(X1,X3),not(implies(X2,not(implies(X3,X1)))))))=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_13]), c_0_16]), c_0_19])).
% 0.71/0.91 cnf(c_0_25, plain, (implies(implies(X1,X2),not(implies(not(X1),not(implies(X2,X1)))))=not(X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_13]), c_0_14]), c_0_14]), c_0_10]), c_0_20]), c_0_21])).
% 0.71/0.91 cnf(c_0_26, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.71/0.91 cnf(c_0_27, negated_conjecture, (implies(a,implies(not(b),not(implies(a,implies(not(b),not(implies(b,a)))))))!=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23]), c_0_14]), c_0_10])).
% 0.71/0.91 cnf(c_0_28, plain, (implies(X1,implies(not(X2),not(implies(X1,implies(not(X2),not(implies(X2,X1)))))))=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_14]), c_0_14]), c_0_10]), c_0_20]), c_0_14]), c_0_26]), c_0_16]), c_0_10]), c_0_16]), c_0_10])).
% 0.71/0.91 cnf(c_0_29, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])]), ['proof']).
% 0.71/0.91 % SZS output end Proof
% 0.71/0.91 % User time : 0.446 s
% 0.71/0.91 % System time : 0.034 s
% 0.71/0.91 % Total time : 0.480 s
% 0.71/0.91
%------------------------------------------------------------------------------