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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 : Thu Sep 24 01:27:02 PM UTC 2026

% Result   : Theorem 0.25s 0.52s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   27 (   4 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   25 (  11   ~;   9   |;   3   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(odrl604,conjecture,
    prec(v5,v5,o,o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl604) ).

fof(leq_def,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> ( X1 = X2
        | less(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_def) ).

fof(prec_oo,axiom,
    ! [X14,X15] :
      ( prec(X14,X15,o,o)
    <=> leq(X14,X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+5.ax',prec_oo) ).

fof(c_0_3,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(assume_negation,[status(cth)],[odrl604]) ).

fof(c_0_4,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_5,plain,
    ! [X38,X39] :
      ( ( leq(X38,X39)
        | X38 != X39 )
      & ( leq(X38,X39)
        | ~ less(X38,X39) )
      & ( X38 = X39
        | less(X38,X39)
        | ~ leq(X38,X39) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_def])])])]) ).

fof(c_0_6,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ! [X30,X31] :
      ( ( prec(X30,X31,o,o)
        | ~ leq(X30,X31) )
      & ( leq(X30,X31)
        | ~ prec(X30,X31,o,o) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[prec_oo])])]) ).

cnf(c_0_8,plain,
    ( X1 != X2
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( ~ leq(X1,X2)
    | prec(X1,X2,o,o) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    leq(X1,X1),
    inference(er,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44  % Computer : n015.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Mon Sep 21 01:28:36 UTC 2026
% 0.18/0.44  % CPUTime  : 
% 0.18/0.44  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.50  Running first-order theorem proving
% 0.18/0.50  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.52  % Version: 3.5.1
% 0.25/0.52  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.52  % Starting new_bool_3 with 300s (1) cores
% 0.25/0.52  % Starting new_bool_1 with 300s (1) cores
% 0.25/0.52  % Starting sh5l with 300s (1) cores
% 0.25/0.52  % new_bool_3 with pid 263127 completed with status 0
% 0.25/0.52  % Result found by new_bool_3
% 0.25/0.52  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.52  % Starting new_bool_3 with 300s (1) cores
% 0.25/0.52  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.52  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.52  % Search class: FGUSF-FFSF00-SFFFFFNN
% 0.25/0.52  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.52  % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.52  % SubtermCWHack with pid 263130 completed with status 0
% 0.25/0.52  % Result found by SubtermCWHack
% 0.25/0.52  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.52  % Starting new_bool_3 with 300s (1) cores
% 0.25/0.52  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.52  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.52  % Search class: FGUSF-FFSF00-SFFFFFNN
% 0.25/0.52  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.52  % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.52  % Preprocessing time       : 0.001 s
% 0.25/0.52  
% 0.25/0.52  % Proof found!
% 0.25/0.52  % SZS status Theorem
% 0.25/0.52  % SZS output start CNFRefutation
% See solution above
% 0.25/0.52  % Parsed axioms                        : 48
% 0.25/0.52  % Removed by relevancy pruning/SinE    : 33
% 0.25/0.52  % Initial clauses                      : 21
% 0.25/0.52  % Removed in clause preprocessing      : 0
% 0.25/0.52  % Initial clauses in saturation        : 21
% 0.25/0.52  % Processed clauses                    : 12
% 0.25/0.52  % ...of these trivial                  : 0
% 0.25/0.52  % ...subsumed                          : 1
% 0.25/0.52  % ...remaining for further processing  : 11
% 0.25/0.52  % Other redundant clauses eliminated   : 1
% 0.25/0.52  % Clauses deleted for lack of memory   : 0
% 0.25/0.52  % Backward-subsumed                    : 0
% 0.25/0.52  % Backward-rewritten                   : 0
% 0.25/0.52  % Generated clauses                    : 6
% 0.25/0.52  % ...of the previous two non-redundant : 3
% 0.25/0.52  % ...aggressively subsumed             : 0
% 0.25/0.52  % Contextual simplify-reflections      : 0
% 0.25/0.52  % Paramodulations                      : 3
% 0.25/0.52  % Factorizations                       : 2
% 0.25/0.52  % NegExts                              : 0
% 0.25/0.52  % Equation resolutions                 : 1
% 0.25/0.52  % Disequality decompositions           : 0
% 0.25/0.52  % Total rewrite steps                  : 1
% 0.25/0.52  % ...of those cached                   : 0
% 0.25/0.52  % Propositional unsat checks           : 0
% 0.25/0.52  %    Propositional check models        : 0
% 0.25/0.52  %    Propositional check unsatisfiable : 0
% 0.25/0.52  %    Propositional clauses             : 0
% 0.25/0.52  %    Propositional clauses after purity: 0
% 0.25/0.52  %    Propositional unsat core size     : 0
% 0.25/0.52  %    Propositional preprocessing time  : 0.000
% 0.25/0.52  %    Propositional encoding time       : 0.000
% 0.25/0.52  %    Propositional solver time         : 0.000
% 0.25/0.52  %    Success case prop preproc time    : 0.000
% 0.25/0.52  %    Success case prop encoding time   : 0.000
% 0.25/0.52  %    Success case prop solver time     : 0.000
% 0.25/0.52  % Current number of processed clauses  : 10
% 0.25/0.52  %    Positive orientable unit clauses  : 1
% 0.25/0.52  %    Positive unorientable unit clauses: 0
% 0.25/0.52  %    Negative unit clauses             : 3
% 0.25/0.52  %    Non-unit-clauses                  : 6
% 0.25/0.52  % Current number of unprocessed clauses: 12
% 0.25/0.52  % ...number of literals in the above   : 32
% 0.25/0.52  % Current number of archived formulas  : 0
% 0.25/0.52  % Current number of archived clauses   : 0
% 0.25/0.52  % Clause-clause subsumption calls (NU) : 3
% 0.25/0.52  % Rec. Clause-clause subsumption calls : 3
% 0.25/0.52  % Non-unit clause-clause subsumptions  : 1
% 0.25/0.52  % Unit Clause-clause subsumption calls : 0
% 0.25/0.52  % Rewrite failures with RHS unbound    : 0
% 0.25/0.52  % BW rewrite match attempts            : 0
% 0.25/0.52  % BW rewrite match successes           : 0
% 0.25/0.52  % Condensation attempts                : 0
% 0.25/0.52  % Condensation successes               : 0
% 0.25/0.52  % Termbank termtop insertions          : 1540
% 0.25/0.52  % Search garbage collected termcells   : 402
% 0.25/0.52  
% 0.25/0.52  % -------------------------------------------------
% 0.25/0.52  % User time                : 0.004 s
% 0.25/0.52  % System time              : 0.002 s
% 0.25/0.52  % Total time               : 0.005 s
% 0.25/0.52  % Maximum resident set size: 3688 pages
% 0.25/0.52  
% 0.25/0.52  % -------------------------------------------------
% 0.25/0.52  % User time                : 0.006 s
% 0.25/0.52  % System time              : 0.006 s
% 0.25/0.52  % Total time               : 0.011 s
% 0.25/0.52  % Maximum resident set size: 4608 pages
% 0.25/0.52  % E exiting
%------------------------------------------------------------------------------