%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n031.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 06:04:39 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n031.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 14:45:26 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.13/0.42 start to proof:theBenchmark.p
% 0.13/0.46 % Version : CSI_E---1.1
% 0.13/0.46 % Problem : theBenchmark.p
% 0.13/0.46 % Proof found!
% 0.13/0.46 # SZS status Unsatisfiable
% 0.13/0.46 % SZS output start Proof
% 0.13/0.46 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)).
% 0.13/0.46 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)).
% 0.13/0.46 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)).
% 0.13/0.46 fof(wit_in_lopen, axiom, in_lopen(w,v0,v600), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wit_in_lopen)).
% 0.13/0.46 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)).
% 0.13/0.46 fof(wit_leq, axiom, leq(v800,w), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wit_leq)).
% 0.13/0.46 fof(distinct, axiom, ((v0!=v600&v0!=v800)&v600!=v800), file('/export/starexec/sandbox/benchmark/theBenchmark.p', distinct)).
% 0.13/0.46 fof(ord_v600_v800, axiom, less(v600,v800), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ord_v600_v800)).
% 0.13/0.46 fof(c_0_8, 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])])])).
% 0.13/0.46 fof(c_0_9, 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])])])])).
% 0.13/0.46 fof(c_0_10, 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])])])])).
% 0.13/0.46 cnf(c_0_11, plain, (X1=X2|~leq(X1,X2)|~leq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.13/0.46 cnf(c_0_12, plain, (leq(X1,X2)|~less(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.13/0.46 cnf(c_0_13, plain, (leq(X1,X2)|~in_lopen(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.13/0.46 cnf(c_0_14, plain, (in_lopen(w,v0,v600)), inference(split_conjunct,[status(thm)],[wit_in_lopen])).
% 0.13/0.46 fof(c_0_15, 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])])])).
% 0.13/0.46 cnf(c_0_16, plain, (leq(v800,w)), inference(split_conjunct,[status(thm)],[wit_leq])).
% 0.13/0.46 cnf(c_0_17, plain, (X1=X2|~leq(X1,X2)|~less(X2,X1)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.13/0.46 cnf(c_0_18, plain, (leq(w,v600)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 0.13/0.46 cnf(c_0_19, plain, (less(X1,X3)|~less(X1,X2)|~leq(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_15])).
% 0.13/0.46 fof(c_0_20, plain, ((v0!=v600&v0!=v800)&v600!=v800), inference(fof_simplification,[status(thm)],[distinct])).
% 0.13/0.46 cnf(c_0_21, plain, (w=v800|~leq(w,v800)), inference(spm,[status(thm)],[c_0_11, c_0_16])).
% 0.13/0.46 cnf(c_0_22, plain, (w=v600|~less(v600,w)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.13/0.46 cnf(c_0_23, plain, (less(X1,w)|~less(X1,v800)), inference(spm,[status(thm)],[c_0_19, c_0_16])).
% 0.13/0.46 cnf(c_0_24, plain, (less(v600,v800)), inference(split_conjunct,[status(thm)],[ord_v600_v800])).
% 0.13/0.46 fof(c_0_25, plain, ((v0!=v600&v0!=v800)&v600!=v800), inference(fof_nnf,[status(thm)],[c_0_20])).
% 0.13/0.46 cnf(c_0_26, plain, (w=v800|~less(w,v800)), inference(spm,[status(thm)],[c_0_21, c_0_12])).
% 0.13/0.46 cnf(c_0_27, plain, (w=v600), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])).
% 0.13/0.46 cnf(c_0_28, plain, (v600!=v800), inference(split_conjunct,[status(thm)],[c_0_25])).
% 0.13/0.46 cnf(c_0_29, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27]), c_0_27]), c_0_24])]), c_0_28]), ['proof']).
% 0.13/0.46 % SZS output end Proof
% 0.13/0.46 % User time : 0.012 s
% 0.13/0.46 % System time : 0.003 s
% 0.13/0.46 % Total time : 0.015 s
% 0.13/0.46 % User time : 0.030 s
% 0.13/0.46 % System time : 0.013 s
% 0.13/0.46 % Total time : 0.043 s
% 0.13/0.46
%------------------------------------------------------------------------------