%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n007.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 0.46s 0.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : java -jar mcs_scs.jar %d %s
% 0.13/0.40 % Computer : n007.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 7 14:13:41 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.25/0.58 start to proof:theBenchmark.p
% 0.46/0.69 % Version : CSI_E---1.1
% 0.46/0.69 % Problem : theBenchmark.p
% 0.46/0.69 % Proof found!
% 0.46/0.69 % SZS status Theorem for theBenchmark.p
% 0.46/0.69 % SZS output start Proof
% 0.46/0.69 fof(odrl365, conjecture, ~(?[X1, X2, X3, X13]:((((((((in_closed(X1,v600,v600)&in_closed(X1,v800,v800))&less(v100,X2))&in_open(X2,v0,v500))&leq(v8,X3))&in_lopen(X3,v0,v32))&in_lopen(X13,v0,v300))&leq(v150,X13)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', odrl365)).
% 0.46/0.69 fof(in_closed, axiom, ![X1, X4, X5]:((in_closed(X1,X4,X5)<=>(leq(X4,X1)&leq(X1,X5)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax', in_closed)).
% 0.46/0.69 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)).
% 0.46/0.69 fof(distinct, axiom, (((((((((((((((((((((((((((((((((((v0!=v8&v0!=v32)&v0!=v100)&v0!=v150)&v0!=v300)&v0!=v500)&v0!=v600)&v0!=v800)&v8!=v32)&v8!=v100)&v8!=v150)&v8!=v300)&v8!=v500)&v8!=v600)&v8!=v800)&v32!=v100)&v32!=v150)&v32!=v300)&v32!=v500)&v32!=v600)&v32!=v800)&v100!=v150)&v100!=v300)&v100!=v500)&v100!=v600)&v100!=v800)&v150!=v300)&v150!=v500)&v150!=v600)&v150!=v800)&v300!=v500)&v300!=v600)&v300!=v800)&v500!=v600)&v500!=v800)&v600!=v800), file('/export/starexec/sandbox/benchmark/theBenchmark.p', distinct)).
% 0.46/0.69 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)).
% 0.46/0.69 fof(ord_v600_v800, axiom, less(v600,v800), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ord_v600_v800)).
% 0.46/0.69 fof(c_0_6, negated_conjecture, ~(~(?[X1, X2, X3, X13]:((((((((in_closed(X1,v600,v600)&in_closed(X1,v800,v800))&less(v100,X2))&in_open(X2,v0,v500))&leq(v8,X3))&in_lopen(X3,v0,v32))&in_lopen(X13,v0,v300))&leq(v150,X13))))), inference(assume_negation,[status(cth)],[odrl365])).
% 0.46/0.69 fof(c_0_7, plain, ![X35, X36, X37]:((((leq(X36,X35)|~in_closed(X35,X36,X37))&(leq(X35,X37)|~in_closed(X35,X36,X37)))&(~leq(X36,X35)|~leq(X35,X37)|in_closed(X35,X36,X37)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_closed])])])])).
% 0.46/0.69 fof(c_0_8, negated_conjecture, (((((((in_closed(esk4_0,v600,v600)&in_closed(esk4_0,v800,v800))&less(v100,esk5_0))&in_open(esk5_0,v0,v500))&leq(v8,esk6_0))&in_lopen(esk6_0,v0,v32))&in_lopen(esk7_0,v0,v300))&leq(v150,esk7_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
% 0.46/0.69 fof(c_0_9, plain, ![X22, X23]:((~leq(X22,X23)|~leq(X23,X22)|X22=X23)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_antisym])])])).
% 0.46/0.69 cnf(c_0_10, plain, (leq(X1,X2)|~in_closed(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.46/0.69 cnf(c_0_11, negated_conjecture, (in_closed(esk4_0,v800,v800)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.46/0.69 cnf(c_0_12, plain, (leq(X1,X2)|~in_closed(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.46/0.69 cnf(c_0_13, negated_conjecture, (in_closed(esk4_0,v600,v600)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.46/0.69 cnf(c_0_14, plain, (X1=X2|~leq(X1,X2)|~leq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.46/0.69 cnf(c_0_15, negated_conjecture, (leq(esk4_0,v800)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.46/0.69 cnf(c_0_16, negated_conjecture, (leq(v800,esk4_0)), inference(spm,[status(thm)],[c_0_12, c_0_11])).
% 0.46/0.69 fof(c_0_17, plain, (((((((((((((((((((((((((((((((((((v0!=v8&v0!=v32)&v0!=v100)&v0!=v150)&v0!=v300)&v0!=v500)&v0!=v600)&v0!=v800)&v8!=v32)&v8!=v100)&v8!=v150)&v8!=v300)&v8!=v500)&v8!=v600)&v8!=v800)&v32!=v100)&v32!=v150)&v32!=v300)&v32!=v500)&v32!=v600)&v32!=v800)&v100!=v150)&v100!=v300)&v100!=v500)&v100!=v600)&v100!=v800)&v150!=v300)&v150!=v500)&v150!=v600)&v150!=v800)&v300!=v500)&v300!=v600)&v300!=v800)&v500!=v600)&v500!=v800)&v600!=v800), inference(fof_simplification,[status(thm)],[distinct])).
% 0.46/0.69 cnf(c_0_18, negated_conjecture, (leq(esk4_0,v600)), inference(spm,[status(thm)],[c_0_10, c_0_13])).
% 0.46/0.69 cnf(c_0_19, negated_conjecture, (esk4_0=v800), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])])).
% 0.46/0.69 fof(c_0_20, plain, (((((((((((((((((((((((((((((((((((v0!=v8&v0!=v32)&v0!=v100)&v0!=v150)&v0!=v300)&v0!=v500)&v0!=v600)&v0!=v800)&v8!=v32)&v8!=v100)&v8!=v150)&v8!=v300)&v8!=v500)&v8!=v600)&v8!=v800)&v32!=v100)&v32!=v150)&v32!=v300)&v32!=v500)&v32!=v600)&v32!=v800)&v100!=v150)&v100!=v300)&v100!=v500)&v100!=v600)&v100!=v800)&v150!=v300)&v150!=v500)&v150!=v600)&v150!=v800)&v300!=v500)&v300!=v600)&v300!=v800)&v500!=v600)&v500!=v800)&v600!=v800), inference(fof_nnf,[status(thm)],[c_0_17])).
% 0.46/0.69 cnf(c_0_21, negated_conjecture, (leq(v800,v600)), inference(rw,[status(thm)],[c_0_18, c_0_19])).
% 0.46/0.69 cnf(c_0_22, plain, (v600!=v800), inference(split_conjunct,[status(thm)],[c_0_20])).
% 0.46/0.69 fof(c_0_23, plain, ![X20, X21]:(((~leq(X20,X21)|(less(X20,X21)|X20=X21))&((~less(X20,X21)|leq(X20,X21))&(X20!=X21|leq(X20,X21))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_def])])])])).
% 0.46/0.69 cnf(c_0_24, negated_conjecture, (~leq(v600,v800)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_21]), c_0_22])).
% 0.46/0.69 cnf(c_0_25, plain, (leq(X1,X2)|~less(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.46/0.69 cnf(c_0_26, plain, (less(v600,v800)), inference(split_conjunct,[status(thm)],[ord_v600_v800])).
% 0.46/0.69 cnf(c_0_27, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])]), ['proof']).
% 0.46/0.69 % SZS output end Proof
% 0.46/0.69 % User time : 0.012 s
% 0.46/0.69 % System time : 0.008 s
% 0.46/0.69 % Total time : 0.020 s
% 0.46/0.69 % User time : 0.041 s
% 0.46/0.69 % System time : 0.023 s
% 0.46/0.69 % Total time : 0.064 s
% 0.46/0.69
%------------------------------------------------------------------------------