%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 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 11:21:01 AM UTC 2026
% Result : Theorem 0.23s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n020.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 20:41:27 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 Theorem for theBenchmark.p
% 0.23/0.54 % SZS output start Proof
% 0.23/0.54 fof(cn1, axiom, (cn1<=>![X4, X5, X6]:is_a_theorem(implies(implies(X4,X5),implies(implies(X5,X6),implies(X4,X6))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', cn1)).
% 0.23/0.54 fof(luka_cn1, conjecture, cn1, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', luka_cn1)).
% 0.23/0.54 fof(implies_3, axiom, (implies_3<=>![X1, X2, X3]:is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', implies_3)).
% 0.23/0.54 fof(hilbert_implies_3, axiom, implies_3, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_implies_3)).
% 0.23/0.54 fof(c_0_4, plain, ![X148, X149, X150]:((~cn1|is_a_theorem(implies(implies(X148,X149),implies(implies(X149,X150),implies(X148,X150)))))&(~is_a_theorem(implies(implies(esk39_0,esk40_0),implies(implies(esk40_0,esk41_0),implies(esk39_0,esk41_0))))|cn1)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cn1])])])])).
% 0.23/0.54 fof(c_0_5, negated_conjecture, ~cn1, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[luka_cn1])])).
% 0.23/0.54 fof(c_0_6, plain, ![X92, X93, X94]:((~implies_3|is_a_theorem(implies(implies(X92,X93),implies(implies(X93,X94),implies(X92,X94)))))&(~is_a_theorem(implies(implies(esk11_0,esk12_0),implies(implies(esk12_0,esk13_0),implies(esk11_0,esk13_0))))|implies_3)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[implies_3])])])])).
% 0.23/0.54 cnf(c_0_7, plain, (cn1|~is_a_theorem(implies(implies(esk39_0,esk40_0),implies(implies(esk40_0,esk41_0),implies(esk39_0,esk41_0))))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.23/0.54 cnf(c_0_8, negated_conjecture, (~cn1), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.23/0.54 cnf(c_0_9, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))|~implies_3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.23/0.54 cnf(c_0_10, plain, (implies_3), inference(split_conjunct,[status(thm)],[hilbert_implies_3])).
% 0.23/0.54 cnf(c_0_11, plain, (~is_a_theorem(implies(implies(esk39_0,esk40_0),implies(implies(esk40_0,esk41_0),implies(esk39_0,esk41_0))))), inference(sr,[status(thm)],[c_0_7, c_0_8])).
% 0.23/0.54 cnf(c_0_12, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 0.23/0.54 cnf(c_0_13, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])]), ['proof']).
% 0.23/0.54 % SZS output end Proof
% 0.23/0.54 % User time : 0.039 s
% 0.23/0.54 % System time : 0.001 s
% 0.23/0.54 % Total time : 0.040 s
% 0.23/0.54
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