%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n020.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 0.28s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 4 19:51:27 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.50 start to proof:theBenchmark.p
% 0.28/0.59 % Version : CSI_E---1.1
% 0.28/0.59 % Problem : theBenchmark.p
% 0.28/0.59 % Proof found!
% 0.28/0.59 # SZS status Unsatisfiable
% 0.28/0.59 % SZS output start Proof
% 0.28/0.59 cnf(lemma_3_1, axiom, (ordered(X2,implies(X1,X3))|~ordered(X1,implies(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lemma_3_1)).
% 0.28/0.59 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.28/0.59 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)).
% 0.28/0.59 cnf(lemma_1, axiom, (ordered(implies(X1,X3),implies(X2,X3))|~ordered(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lemma_1)).
% 0.28/0.59 cnf(partial_order_definition2, axiom, (ordered(X1,X2)|implies(X1,X2)!=truth), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax', partial_order_definition2)).
% 0.28/0.59 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)).
% 0.28/0.59 cnf(partial_order_definition1, axiom, (implies(X1,X2)=truth|~ordered(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax', partial_order_definition1)).
% 0.28/0.59 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)).
% 0.28/0.59 cnf(prove_mv_4, negated_conjecture, (big_V(implies(x,y),implies(y,x))!=truth), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_mv_4)).
% 0.28/0.59 cnf(big_V_definition, axiom, (big_V(X1,X2)=implies(implies(X1,X2),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax', big_V_definition)).
% 0.28/0.59 cnf(c_0_10, axiom, (ordered(X2,implies(X1,X3))|~ordered(X1,implies(X2,X3))), lemma_3_1).
% 0.28/0.59 cnf(c_0_11, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.28/0.59 cnf(c_0_12, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 0.28/0.59 cnf(c_0_13, plain, (ordered(truth,implies(X1,X2))|~ordered(X1,X2)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.28/0.59 cnf(c_0_14, plain, (implies(implies(not(X1),not(truth)),X1)=truth), inference(spm,[status(thm)],[c_0_12, c_0_11])).
% 0.28/0.59 cnf(c_0_15, axiom, (ordered(implies(X1,X3),implies(X2,X3))|~ordered(X1,X2)), lemma_1).
% 0.28/0.59 cnf(c_0_16, plain, (ordered(truth,truth)|~ordered(implies(not(X1),not(truth)),X1)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 0.28/0.59 cnf(c_0_17, axiom, (ordered(X1,X2)|implies(X1,X2)!=truth), partial_order_definition2).
% 0.28/0.59 cnf(c_0_18, plain, (ordered(implies(X1,X2),X2)|~ordered(X1,truth)), inference(spm,[status(thm)],[c_0_15, c_0_11])).
% 0.28/0.59 cnf(c_0_19, plain, (ordered(truth,truth)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_14])])).
% 0.28/0.59 cnf(c_0_20, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 0.28/0.59 cnf(c_0_21, axiom, (implies(X1,X2)=truth|~ordered(X1,X2)), partial_order_definition1).
% 0.28/0.59 cnf(c_0_22, plain, (ordered(X1,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_11]), c_0_19])])).
% 0.28/0.59 cnf(c_0_23, plain, (implies(implies(X1,truth),truth)=implies(X1,X1)), inference(spm,[status(thm)],[c_0_20, c_0_11])).
% 0.28/0.59 cnf(c_0_24, plain, (implies(X1,X1)=truth), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.28/0.59 cnf(c_0_25, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 0.28/0.59 cnf(c_0_26, plain, (implies(implies(X1,truth),truth)=truth), inference(rw,[status(thm)],[c_0_23, c_0_24])).
% 0.28/0.59 cnf(c_0_27, plain, (implies(implies(implies(X1,truth),X2),truth)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_26])).
% 0.28/0.59 cnf(c_0_28, plain, (ordered(X1,implies(X2,X3))|implies(X2,implies(X1,X3))!=truth), inference(spm,[status(thm)],[c_0_10, c_0_17])).
% 0.28/0.59 cnf(c_0_29, plain, (implies(X1,truth)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_27]), c_0_11])).
% 0.28/0.59 cnf(c_0_30, plain, (ordered(X1,truth)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_29]), c_0_29])])).
% 0.28/0.59 cnf(c_0_31, plain, (ordered(implies(X1,X2),X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_30])])).
% 0.28/0.59 cnf(c_0_32, negated_conjecture, (big_V(implies(x,y),implies(y,x))!=truth), prove_mv_4).
% 0.28/0.59 cnf(c_0_33, axiom, (big_V(X1,X2)=implies(implies(X1,X2),X2)), big_V_definition).
% 0.28/0.59 cnf(c_0_34, plain, (ordered(truth,X1)), inference(spm,[status(thm)],[c_0_31, c_0_14])).
% 0.28/0.59 cnf(c_0_35, negated_conjecture, (implies(implies(implies(x,y),implies(y,x)),implies(y,x))!=truth), inference(rw,[status(thm)],[c_0_32, c_0_33])).
% 0.28/0.59 cnf(c_0_36, plain, (X1=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_34]), c_0_11])).
% 0.28/0.59 cnf(c_0_37, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])]), ['proof']).
% 0.28/0.59 % SZS output end Proof
% 0.28/0.59 % User time : 0.057 s
% 0.28/0.59 % System time : 0.010 s
% 0.28/0.59 % Total time : 0.067 s
% 0.28/0.59
%------------------------------------------------------------------------------