%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL144-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n029.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 11:20:24 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL144-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n029.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 03:32:25 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.24/0.46 start to proof:theBenchmark.p
% 0.24/0.53 % Version : CSI_E---1.1
% 0.24/0.53 % Problem : theBenchmark.p
% 0.24/0.53 % Proof found!
% 0.24/0.53 # SZS status Unsatisfiable
% 0.24/0.53 % SZS output start Proof
% 0.24/0.53 cnf(partial_order_definition1, axiom, (implies(X1,X2)=truth|~ordered(X1,X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-1.ax', partial_order_definition1)).
% 0.24/0.53 cnf(antecedent, negated_conjecture, (ordered(x,implies(y,z))|ordered(y,implies(x,z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', antecedent)).
% 0.24/0.53 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)).
% 0.24/0.53 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.24/0.53 cnf(prove_wajsberg_theorem, negated_conjecture, (~ordered(x,implies(y,z))|~ordered(y,implies(x,z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_wajsberg_theorem)).
% 0.24/0.53 cnf(partial_order_definition2, axiom, (ordered(X1,X2)|implies(X1,X2)!=truth), file('/export/starexec/sandbox/benchmark/Axioms/LCL001-1.ax', partial_order_definition2)).
% 0.24/0.53 cnf(c_0_6, axiom, (implies(X1,X2)=truth|~ordered(X1,X2)), partial_order_definition1).
% 0.24/0.53 cnf(c_0_7, negated_conjecture, (ordered(x,implies(y,z))|ordered(y,implies(x,z))), antecedent).
% 0.24/0.53 cnf(c_0_8, negated_conjecture, (implies(y,implies(x,z))=truth|ordered(x,implies(y,z))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 0.24/0.53 cnf(c_0_9, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 0.24/0.53 cnf(c_0_10, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.24/0.53 cnf(c_0_11, negated_conjecture, (implies(y,implies(x,z))=truth|implies(x,implies(y,z))=truth), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 0.24/0.53 cnf(c_0_12, 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_9, c_0_9]), c_0_10])).
% 0.24/0.53 cnf(c_0_13, negated_conjecture, (implies(implies(implies(x,z),X1),implies(y,X1))=truth|implies(x,implies(y,z))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_11]), c_0_10])).
% 0.24/0.53 cnf(c_0_14, negated_conjecture, (implies(implies(X1,x),implies(y,implies(X1,z)))=truth|implies(x,implies(y,z))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_10])).
% 0.24/0.53 cnf(c_0_15, negated_conjecture, (~ordered(x,implies(y,z))|~ordered(y,implies(x,z))), prove_wajsberg_theorem).
% 0.24/0.53 cnf(c_0_16, axiom, (ordered(X1,X2)|implies(X1,X2)!=truth), partial_order_definition2).
% 0.24/0.53 cnf(c_0_17, negated_conjecture, (implies(x,implies(y,z))=truth), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_10]), c_0_10])])).
% 0.24/0.53 cnf(c_0_18, negated_conjecture, (implies(y,implies(x,z))!=truth|~ordered(x,implies(y,z))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.24/0.53 cnf(c_0_19, negated_conjecture, (implies(implies(implies(y,z),X1),implies(x,X1))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_17]), c_0_10])).
% 0.24/0.53 cnf(c_0_20, negated_conjecture, (implies(y,implies(x,z))!=truth|implies(x,implies(y,z))!=truth), inference(spm,[status(thm)],[c_0_18, c_0_16])).
% 0.24/0.53 cnf(c_0_21, negated_conjecture, (implies(implies(X1,y),implies(x,implies(X1,z)))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_19]), c_0_10])).
% 0.24/0.53 cnf(c_0_22, negated_conjecture, (implies(y,implies(x,z))!=truth), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_17])])).
% 0.24/0.53 cnf(c_0_23, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_10]), c_0_10]), c_0_22]), ['proof']).
% 0.24/0.53 % SZS output end Proof
% 0.24/0.53 % User time : 0.037 s
% 0.24/0.53 % System time : 0.008 s
% 0.24/0.53 % Total time : 0.045 s
% 0.24/0.53
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