%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n005.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 : Tue Sep 8 06:04:38 AM UTC 2026
% Result : Theorem 0.24s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n005.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 : Mon Sep 7 14:13:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.24/0.46 start to proof:theBenchmark.p
% 0.24/0.52 % Version : CSI_E---1.1
% 0.24/0.52 % Problem : theBenchmark.p
% 0.24/0.52 % Proof found!
% 0.24/0.52 % SZS status Theorem for theBenchmark.p
% 0.24/0.52 % SZS output start Proof
% 0.24/0.52 fof(odrl341, conjecture, ~(?[X1, X2, X3]:((((((in_lopen(X1,v0,v600)&leq(v1200,X1))&in_lopen(X2,v0,v800))&leq(v200,X2))&in_lopen(X3,v0,v32))&leq(v8,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', odrl341)).
% 0.24/0.52 fof(in_lopen, axiom, ![X1, X4, X5]:((in_lopen(X1,X4,X5)<=>(less(X4,X1)&leq(X1,X5)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax', in_lopen)).
% 0.24/0.52 fof(leq_antisym, axiom, ![X1, X2]:(((leq(X1,X2)&leq(X2,X1))=>X1=X2)), file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax', leq_antisym)).
% 0.24/0.52 fof(leq_trans, axiom, ![X1, X2, X3]:(((leq(X1,X2)&leq(X2,X3))=>leq(X1,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax', leq_trans)).
% 0.24/0.52 fof(leq_def, axiom, ![X1, X2]:((leq(X1,X2)<=>(less(X1,X2)|X1=X2))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax', leq_def)).
% 0.24/0.52 fof(distinct, axiom, ((((((((((((((((((((v0!=v8&v0!=v32)&v0!=v200)&v0!=v600)&v0!=v800)&v0!=v1200)&v8!=v32)&v8!=v200)&v8!=v600)&v8!=v800)&v8!=v1200)&v32!=v200)&v32!=v600)&v32!=v800)&v32!=v1200)&v200!=v600)&v200!=v800)&v200!=v1200)&v600!=v800)&v600!=v1200)&v800!=v1200), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', distinct)).
% 0.24/0.52 fof(ord_v600_v1200, axiom, less(v600,v1200), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ord_v600_v1200)).
% 0.24/0.52 fof(c_0_7, negated_conjecture, ~(~(?[X1, X2, X3]:((((((in_lopen(X1,v0,v600)&leq(v1200,X1))&in_lopen(X2,v0,v800))&leq(v200,X2))&in_lopen(X3,v0,v32))&leq(v8,X3))))), inference(assume_negation,[status(cth)],[odrl341])).
% 0.24/0.52 fof(c_0_8, plain, ![X31, X32, X33]:((((less(X32,X31)|~in_lopen(X31,X32,X33))&(leq(X31,X33)|~in_lopen(X31,X32,X33)))&(~less(X32,X31)|~leq(X31,X33)|in_lopen(X31,X32,X33)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_lopen])])])])).
% 0.24/0.52 fof(c_0_9, negated_conjecture, (((((in_lopen(esk1_0,v0,v600)&leq(v1200,esk1_0))&in_lopen(esk2_0,v0,v800))&leq(v200,esk2_0))&in_lopen(esk3_0,v0,v32))&leq(v8,esk3_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
% 0.24/0.52 fof(c_0_10, plain, ![X18, X19]:((~leq(X18,X19)|~leq(X19,X18)|X18=X19)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_antisym])])])).
% 0.24/0.52 cnf(c_0_11, plain, (leq(X1,X2)|~in_lopen(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.24/0.52 cnf(c_0_12, negated_conjecture, (in_lopen(esk1_0,v0,v600)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.52 fof(c_0_13, plain, ![X28, X29, X30]:((~leq(X28,X29)|~leq(X29,X30)|leq(X28,X30))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_trans])])])).
% 0.24/0.52 cnf(c_0_14, plain, (X1=X2|~leq(X1,X2)|~leq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.24/0.52 cnf(c_0_15, negated_conjecture, (leq(esk1_0,v600)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.24/0.52 cnf(c_0_16, plain, (leq(X1,X3)|~leq(X1,X2)|~leq(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.52 cnf(c_0_17, negated_conjecture, (leq(v1200,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.24/0.52 fof(c_0_18, plain, ![X16, X17]:(((~leq(X16,X17)|(less(X16,X17)|X16=X17))&((~less(X16,X17)|leq(X16,X17))&(X16!=X17|leq(X16,X17))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_def])])])])).
% 0.24/0.52 cnf(c_0_19, negated_conjecture, (esk1_0=v600|~leq(v600,esk1_0)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.24/0.52 cnf(c_0_20, negated_conjecture, (leq(X1,esk1_0)|~leq(X1,v1200)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.24/0.52 fof(c_0_21, plain, ((((((((((((((((((((v0!=v8&v0!=v32)&v0!=v200)&v0!=v600)&v0!=v800)&v0!=v1200)&v8!=v32)&v8!=v200)&v8!=v600)&v8!=v800)&v8!=v1200)&v32!=v200)&v32!=v600)&v32!=v800)&v32!=v1200)&v200!=v600)&v200!=v800)&v200!=v1200)&v600!=v800)&v600!=v1200)&v800!=v1200), inference(fof_simplification,[status(thm)],[distinct])).
% 0.24/0.52 cnf(c_0_22, negated_conjecture, (esk1_0=v1200|~leq(esk1_0,v1200)), inference(spm,[status(thm)],[c_0_14, c_0_17])).
% 0.24/0.52 cnf(c_0_23, plain, (leq(X1,X2)|~less(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
% 0.24/0.52 cnf(c_0_24, negated_conjecture, (esk1_0=v600|~leq(v600,v1200)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.24/0.52 cnf(c_0_25, plain, (less(v600,v1200)), inference(split_conjunct,[status(thm)],[ord_v600_v1200])).
% 0.24/0.52 fof(c_0_26, plain, ((((((((((((((((((((v0!=v8&v0!=v32)&v0!=v200)&v0!=v600)&v0!=v800)&v0!=v1200)&v8!=v32)&v8!=v200)&v8!=v600)&v8!=v800)&v8!=v1200)&v32!=v200)&v32!=v600)&v32!=v800)&v32!=v1200)&v200!=v600)&v200!=v800)&v200!=v1200)&v600!=v800)&v600!=v1200)&v800!=v1200), inference(fof_nnf,[status(thm)],[c_0_21])).
% 0.24/0.52 cnf(c_0_27, negated_conjecture, (esk1_0=v1200|~less(esk1_0,v1200)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 0.24/0.52 cnf(c_0_28, negated_conjecture, (esk1_0=v600), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_23]), c_0_25])])).
% 0.24/0.52 cnf(c_0_29, plain, (v600!=v1200), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.24/0.52 cnf(c_0_30, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28]), c_0_28]), c_0_25])]), c_0_29]), ['proof']).
% 0.24/0.52 % SZS output end Proof
% 0.24/0.52 % User time : 0.010 s
% 0.24/0.52 % System time : 0.002 s
% 0.24/0.52 % Total time : 0.012 s
% 0.24/0.52 % User time : 0.011 s
% 0.24/0.52 % System time : 0.006 s
% 0.24/0.52 % Total time : 0.018 s
% 0.24/0.52
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