%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n001.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 0.25s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n001.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 : Mon Sep 7 14:22:52 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.25/0.46 start to proof:theBenchmark.p
% 0.25/0.53 % Version : CSI_E---1.1
% 0.25/0.53 % Problem : theBenchmark.p
% 0.25/0.53 % Proof found!
% 0.25/0.53 % SZS status Theorem for theBenchmark.p
% 0.25/0.53 % SZS output start Proof
% 0.25/0.53 fof(odrl411, conjecture, ~(?[X1, X2, X3]:((((((in_closed(X1,v600,v600)&in_closed(X1,v601,v601))&less(v300,X2))&in_open(X2,v0,v500))&leq(v16,X3))&in_lopen(X3,v0,v32)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', odrl411)).
% 0.25/0.53 fof(in_closed, axiom, ![X1, X4, X5]:((in_closed(X1,X4,X5)<=>(leq(X4,X1)&leq(X1,X5)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax', in_closed)).
% 0.25/0.53 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)).
% 0.25/0.53 fof(distinct, axiom, ((((((((((((((((((((v0!=v16&v0!=v32)&v0!=v300)&v0!=v500)&v0!=v600)&v0!=v601)&v16!=v32)&v16!=v300)&v16!=v500)&v16!=v600)&v16!=v601)&v32!=v300)&v32!=v500)&v32!=v600)&v32!=v601)&v300!=v500)&v300!=v600)&v300!=v601)&v500!=v600)&v500!=v601)&v600!=v601), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', distinct)).
% 0.25/0.53 fof(c_0_4, negated_conjecture, ~(~(?[X1, X2, X3]:((((((in_closed(X1,v600,v600)&in_closed(X1,v601,v601))&less(v300,X2))&in_open(X2,v0,v500))&leq(v16,X3))&in_lopen(X3,v0,v32))))), inference(assume_negation,[status(cth)],[odrl411])).
% 0.25/0.53 fof(c_0_5, plain, ![X43, X44, X45]:((((leq(X44,X43)|~in_closed(X43,X44,X45))&(leq(X43,X45)|~in_closed(X43,X44,X45)))&(~leq(X44,X43)|~leq(X43,X45)|in_closed(X43,X44,X45)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_closed])])])])).
% 0.25/0.53 fof(c_0_6, negated_conjecture, (((((in_closed(esk1_0,v600,v600)&in_closed(esk1_0,v601,v601))&less(v300,esk2_0))&in_open(esk2_0,v0,v500))&leq(v16,esk3_0))&in_lopen(esk3_0,v0,v32)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
% 0.25/0.53 fof(c_0_7, 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])])])).
% 0.25/0.53 cnf(c_0_8, plain, (leq(X1,X2)|~in_closed(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.25/0.53 cnf(c_0_9, negated_conjecture, (in_closed(esk1_0,v601,v601)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.53 cnf(c_0_10, plain, (X1=X2|~leq(X1,X2)|~leq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.25/0.53 cnf(c_0_11, negated_conjecture, (leq(v601,esk1_0)), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 0.25/0.53 cnf(c_0_12, plain, (leq(X1,X2)|~in_closed(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.25/0.53 cnf(c_0_13, negated_conjecture, (in_closed(esk1_0,v600,v600)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.53 fof(c_0_14, plain, ((((((((((((((((((((v0!=v16&v0!=v32)&v0!=v300)&v0!=v500)&v0!=v600)&v0!=v601)&v16!=v32)&v16!=v300)&v16!=v500)&v16!=v600)&v16!=v601)&v32!=v300)&v32!=v500)&v32!=v600)&v32!=v601)&v300!=v500)&v300!=v600)&v300!=v601)&v500!=v600)&v500!=v601)&v600!=v601), inference(fof_simplification,[status(thm)],[distinct])).
% 0.25/0.53 cnf(c_0_15, negated_conjecture, (esk1_0=v601|~leq(esk1_0,v601)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.25/0.53 cnf(c_0_16, negated_conjecture, (leq(esk1_0,v601)), inference(spm,[status(thm)],[c_0_12, c_0_9])).
% 0.25/0.53 cnf(c_0_17, negated_conjecture, (leq(v600,esk1_0)), inference(spm,[status(thm)],[c_0_8, c_0_13])).
% 0.25/0.53 fof(c_0_18, plain, ((((((((((((((((((((v0!=v16&v0!=v32)&v0!=v300)&v0!=v500)&v0!=v600)&v0!=v601)&v16!=v32)&v16!=v300)&v16!=v500)&v16!=v600)&v16!=v601)&v32!=v300)&v32!=v500)&v32!=v600)&v32!=v601)&v300!=v500)&v300!=v600)&v300!=v601)&v500!=v600)&v500!=v601)&v600!=v601), inference(fof_nnf,[status(thm)],[c_0_14])).
% 0.25/0.53 cnf(c_0_19, negated_conjecture, (esk1_0=v601), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 0.25/0.53 cnf(c_0_20, negated_conjecture, (esk1_0=v600|~leq(esk1_0,v600)), inference(spm,[status(thm)],[c_0_10, c_0_17])).
% 0.25/0.53 cnf(c_0_21, plain, (v600!=v601), inference(split_conjunct,[status(thm)],[c_0_18])).
% 0.25/0.53 cnf(c_0_22, negated_conjecture, (in_closed(v601,v600,v600)), inference(rw,[status(thm)],[c_0_13, c_0_19])).
% 0.25/0.53 cnf(c_0_23, negated_conjecture, (~leq(v601,v600)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_19]), c_0_19]), c_0_21])).
% 0.25/0.53 cnf(c_0_24, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_22]), c_0_23]), ['proof']).
% 0.25/0.53 % SZS output end Proof
% 0.25/0.53 % User time : 0.008 s
% 0.25/0.53 % System time : 0.005 s
% 0.25/0.53 % Total time : 0.013 s
% 0.25/0.53 % User time : 0.009 s
% 0.25/0.53 % System time : 0.009 s
% 0.25/0.53 % Total time : 0.018 s
% 0.25/0.53
%------------------------------------------------------------------------------