%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n002.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 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n002.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 14:21:52 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.24/0.46 start to proof:theBenchmark.p
% 0.24/0.54 % Version : CSI_E---1.1
% 0.24/0.54 % Problem : theBenchmark.p
% 0.24/0.54 % Proof found!
% 0.24/0.54 % SZS status Theorem for theBenchmark.p
% 0.24/0.54 % SZS output start Proof
% 0.24/0.54 fof(odrl445, conjecture, ~(?[X1, X2, X3]:(((((in_lopen(X1,v0,v200)|in_lopen(X2,v0,v100)|in_lopen(X3,v0,v50))&leq(v400,X1))&leq(v200,X2))&leq(v100,X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', odrl445)).
% 0.24/0.54 fof(in_lopen, axiom, ![X1, X4, X5]:((in_lopen(X1,X4,X5)<=>(less(X4,X1)&leq(X1,X5)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax', in_lopen)).
% 0.24/0.54 fof(less_leq_trans, axiom, ![X1, X2, X3]:(((less(X1,X2)&leq(X2,X3))=>less(X1,X3))), file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax', less_leq_trans)).
% 0.24/0.54 fof(leq_def, axiom, ![X1, X2]:((leq(X1,X2)<=>(less(X1,X2)|X1=X2))), file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax', leq_def)).
% 0.24/0.54 fof(ord_v100_v200, axiom, less(v100,v200), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ord_v100_v200)).
% 0.24/0.54 fof(leq_antisym, axiom, ![X1, X2]:(((leq(X1,X2)&leq(X2,X1))=>X1=X2)), file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax', leq_antisym)).
% 0.24/0.54 fof(ord_v200_v400, axiom, less(v200,v400), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ord_v200_v400)).
% 0.24/0.54 fof(ord_v50_v100, axiom, less(v50,v100), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ord_v50_v100)).
% 0.24/0.54 fof(distinct, axiom, (((((((((v0!=v50&v0!=v100)&v0!=v200)&v0!=v400)&v50!=v100)&v50!=v200)&v50!=v400)&v100!=v200)&v100!=v400)&v200!=v400), file('/export/starexec/sandbox/benchmark/theBenchmark.p', distinct)).
% 0.24/0.54 fof(irreflexive, axiom, ![X1]:(~(less(X1,X1))), file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax', irreflexive)).
% 0.24/0.54 fof(c_0_10, negated_conjecture, ~(~(?[X1, X2, X3]:(((((in_lopen(X1,v0,v200)|in_lopen(X2,v0,v100)|in_lopen(X3,v0,v50))&leq(v400,X1))&leq(v200,X2))&leq(v100,X3))))), inference(assume_negation,[status(cth)],[odrl445])).
% 0.24/0.54 fof(c_0_11, plain, ![X37, X38, X39]:((((less(X38,X37)|~in_lopen(X37,X38,X39))&(leq(X37,X39)|~in_lopen(X37,X38,X39)))&(~less(X38,X37)|~leq(X37,X39)|in_lopen(X37,X38,X39)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_lopen])])])])).
% 0.24/0.54 fof(c_0_12, negated_conjecture, ((((in_lopen(esk4_0,v0,v200)|in_lopen(esk5_0,v0,v100)|in_lopen(esk6_0,v0,v50))&leq(v400,esk4_0))&leq(v200,esk5_0))&leq(v100,esk6_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
% 0.24/0.54 fof(c_0_13, plain, ![X28, X29, X30]:((~less(X28,X29)|~leq(X29,X30)|less(X28,X30))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_leq_trans])])])).
% 0.24/0.54 cnf(c_0_14, plain, (leq(X1,X2)|~in_lopen(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.24/0.54 cnf(c_0_15, negated_conjecture, (in_lopen(esk4_0,v0,v200)|in_lopen(esk5_0,v0,v100)|in_lopen(esk6_0,v0,v50)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.24/0.54 cnf(c_0_16, plain, (less(X1,X3)|~less(X1,X2)|~leq(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.54 cnf(c_0_17, negated_conjecture, (leq(v200,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.24/0.54 cnf(c_0_18, negated_conjecture, (in_lopen(esk6_0,v0,v50)|in_lopen(esk5_0,v0,v100)|leq(esk4_0,v200)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.24/0.54 cnf(c_0_19, negated_conjecture, (leq(v400,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.24/0.54 fof(c_0_20, plain, ![X19, X20]:(((~leq(X19,X20)|(less(X19,X20)|X19=X20))&((~less(X19,X20)|leq(X19,X20))&(X19!=X20|leq(X19,X20))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_def])])])])).
% 0.24/0.54 cnf(c_0_21, negated_conjecture, (less(X1,esk5_0)|~less(X1,v200)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.24/0.54 cnf(c_0_22, plain, (less(v100,v200)), inference(split_conjunct,[status(thm)],[ord_v100_v200])).
% 0.24/0.54 fof(c_0_23, plain, ![X21, X22]:((~leq(X21,X22)|~leq(X22,X21)|X21=X22)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_antisym])])])).
% 0.24/0.54 cnf(c_0_24, negated_conjecture, (in_lopen(esk6_0,v0,v50)|leq(esk4_0,v200)|leq(esk5_0,v100)), inference(spm,[status(thm)],[c_0_14, c_0_18])).
% 0.24/0.54 cnf(c_0_25, negated_conjecture, (less(X1,esk4_0)|~less(X1,v400)), inference(spm,[status(thm)],[c_0_16, c_0_19])).
% 0.24/0.54 cnf(c_0_26, plain, (less(v200,v400)), inference(split_conjunct,[status(thm)],[ord_v200_v400])).
% 0.24/0.54 cnf(c_0_27, plain, (leq(X1,X2)|~less(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
% 0.24/0.54 cnf(c_0_28, negated_conjecture, (less(v100,esk5_0)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.24/0.54 cnf(c_0_29, plain, (X1=X2|~leq(X1,X2)|~leq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.24/0.54 cnf(c_0_30, negated_conjecture, (leq(esk5_0,v100)|leq(esk4_0,v200)|leq(esk6_0,v50)), inference(spm,[status(thm)],[c_0_14, c_0_24])).
% 0.24/0.54 cnf(c_0_31, negated_conjecture, (less(v200,esk4_0)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 0.24/0.54 cnf(c_0_32, negated_conjecture, (leq(v100,esk5_0)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 0.24/0.54 cnf(c_0_33, negated_conjecture, (esk4_0=v200|leq(esk6_0,v50)|leq(esk5_0,v100)|~leq(v200,esk4_0)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 0.24/0.54 cnf(c_0_34, negated_conjecture, (leq(v200,esk4_0)), inference(spm,[status(thm)],[c_0_27, c_0_31])).
% 0.24/0.54 cnf(c_0_35, negated_conjecture, (leq(v100,esk6_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.24/0.54 cnf(c_0_36, negated_conjecture, (esk5_0=v100|~leq(esk5_0,v100)), inference(spm,[status(thm)],[c_0_29, c_0_32])).
% 0.24/0.54 cnf(c_0_37, negated_conjecture, (esk4_0=v200|leq(esk5_0,v100)|leq(esk6_0,v50)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 0.24/0.54 cnf(c_0_38, negated_conjecture, (less(X1,esk6_0)|~less(X1,v100)), inference(spm,[status(thm)],[c_0_16, c_0_35])).
% 0.24/0.54 cnf(c_0_39, plain, (less(v50,v100)), inference(split_conjunct,[status(thm)],[ord_v50_v100])).
% 0.24/0.54 fof(c_0_40, plain, (((((((((v0!=v50&v0!=v100)&v0!=v200)&v0!=v400)&v50!=v100)&v50!=v200)&v50!=v400)&v100!=v200)&v100!=v400)&v200!=v400), inference(fof_simplification,[status(thm)],[distinct])).
% 0.24/0.54 cnf(c_0_41, negated_conjecture, (esk4_0=v200|esk5_0=v100|leq(esk6_0,v50)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 0.24/0.54 cnf(c_0_42, negated_conjecture, (less(v50,esk6_0)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 0.24/0.54 fof(c_0_43, plain, (((((((((v0!=v50&v0!=v100)&v0!=v200)&v0!=v400)&v50!=v100)&v50!=v200)&v50!=v400)&v100!=v200)&v100!=v400)&v200!=v400), inference(fof_nnf,[status(thm)],[c_0_40])).
% 0.24/0.54 cnf(c_0_44, negated_conjecture, (esk5_0=v100|esk4_0=v200|esk6_0=v50|~leq(v50,esk6_0)), inference(spm,[status(thm)],[c_0_29, c_0_41])).
% 0.24/0.54 cnf(c_0_45, negated_conjecture, (leq(v50,esk6_0)), inference(spm,[status(thm)],[c_0_27, c_0_42])).
% 0.24/0.54 cnf(c_0_46, plain, (leq(v200,v400)), inference(spm,[status(thm)],[c_0_27, c_0_26])).
% 0.24/0.54 cnf(c_0_47, plain, (v200!=v400), inference(split_conjunct,[status(thm)],[c_0_43])).
% 0.24/0.54 cnf(c_0_48, negated_conjecture, (esk6_0=v50|esk4_0=v200|esk5_0=v100), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45])])).
% 0.24/0.54 cnf(c_0_49, plain, (~leq(v400,v200)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_46]), c_0_47])).
% 0.24/0.54 cnf(c_0_50, plain, (leq(v100,v200)), inference(spm,[status(thm)],[c_0_27, c_0_22])).
% 0.24/0.54 cnf(c_0_51, plain, (v100!=v200), inference(split_conjunct,[status(thm)],[c_0_43])).
% 0.24/0.54 fof(c_0_52, plain, ![X1]:(~less(X1,X1)), inference(fof_simplification,[status(thm)],[irreflexive])).
% 0.24/0.54 cnf(c_0_53, negated_conjecture, (esk5_0=v100|esk6_0=v50), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_48]), c_0_49])).
% 0.24/0.54 cnf(c_0_54, plain, (~leq(v200,v100)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_50]), c_0_51])).
% 0.24/0.54 fof(c_0_55, plain, ![X13]:(~less(X13,X13)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_52])])).
% 0.24/0.54 cnf(c_0_56, negated_conjecture, (esk6_0=v50), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_53]), c_0_54])).
% 0.24/0.54 cnf(c_0_57, plain, (~less(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
% 0.24/0.54 cnf(c_0_58, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_56]), c_0_57]), ['proof']).
% 0.24/0.54 % SZS output end Proof
% 0.24/0.54 % User time : 0.016 s
% 0.24/0.54 % System time : 0.002 s
% 0.24/0.54 % Total time : 0.018 s
% 0.24/0.54 % User time : 0.061 s
% 0.24/0.54 % System time : 0.010 s
% 0.24/0.54 % Total time : 0.072 s
% 0.24/0.54
%------------------------------------------------------------------------------