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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM838+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:50:47 PM UTC 2026

% Result   : Theorem 0.12s 0.45s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('holds(conseq(195), 305, 0)',conjecture,
    greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(195), 305, 0)') ).

fof('ass(cond(proof(196), 0), 4)',axiom,
    ! [X1,X6,X7] :
      ( greater(X6,X7)
     => greater(vplus(X6,X1),vplus(X7,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 4)') ).

fof('holds(antec(195), 304, 0)',axiom,
    greater(vd301,vd302),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(195), 304, 0)') ).

fof(c_0_3,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(assume_negation,[status(cth)],['holds(conseq(195), 305, 0)']) ).

fof(c_0_4,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_5,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

fof(c_0_6,plain,
    ! [X38,X39,X40] :
      ( greater(vplus(X39,X38),vplus(X40,X38))
      | ~ greater(X39,X40) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(196), 0), 4)'])])]) ).

cnf(c_0_7,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( ~ greater(X1,X2)
    | greater(vplus(X1,X3),vplus(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    greater(vd301,vd302),
    inference(split_conjunct,[status(thm)],['holds(antec(195), 304, 0)']) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM838+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n009.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 21 03:12:28 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  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
% 0.12/0.45  % Version: 3.5.1
% 0.12/0.45  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45  % Starting sh5l with 300s (1) cores
% 0.12/0.45  % new_bool_1 with pid 709492 completed with status 0
% 0.12/0.45  % Result found by new_bool_1
% 0.12/0.45  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.45  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45  % Search class: FGHSS-FFSF22-SFFFFFNN
% 0.12/0.45  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45  % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.45  % SubtermCWHack with pid 709494 completed with status 0
% 0.12/0.45  % Result found by SubtermCWHack
% 0.12/0.45  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.45  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45  % Search class: FGHSS-FFSF22-SFFFFFNN
% 0.12/0.45  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45  % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.45  % Preprocessing time       : 0.001 s
% 0.12/0.45  
% 0.12/0.45  % Proof found!
% 0.12/0.45  % SZS status Theorem
% 0.12/0.45  % SZS output start CNFRefutation
% See solution above
% 0.12/0.45  % Parsed axioms                        : 30
% 0.12/0.45  % Removed by relevancy pruning/SinE    : 17
% 0.12/0.45  % Initial clauses                      : 14
% 0.12/0.45  % Removed in clause preprocessing      : 1
% 0.12/0.45  % Initial clauses in saturation        : 13
% 0.12/0.45  % Processed clauses                    : 55
% 0.12/0.45  % ...of these trivial                  : 3
% 0.12/0.45  % ...subsumed                          : 23
% 0.12/0.45  % ...remaining for further processing  : 29
% 0.12/0.45  % Other redundant clauses eliminated   : 12
% 0.12/0.45  % Clauses deleted for lack of memory   : 0
% 0.12/0.45  % Backward-subsumed                    : 0
% 0.12/0.45  % Backward-rewritten                   : 2
% 0.12/0.45  % Generated clauses                    : 146
% 0.12/0.45  % ...of the previous two non-redundant : 117
% 0.12/0.45  % ...aggressively subsumed             : 0
% 0.12/0.45  % Contextual simplify-reflections      : 0
% 0.12/0.45  % Paramodulations                      : 134
% 0.12/0.45  % Factorizations                       : 0
% 0.12/0.45  % NegExts                              : 0
% 0.12/0.45  % Equation resolutions                 : 12
% 0.12/0.45  % Disequality decompositions           : 0
% 0.12/0.45  % Total rewrite steps                  : 30
% 0.12/0.45  % ...of those cached                   : 14
% 0.12/0.45  % Propositional unsat checks           : 0
% 0.12/0.45  %    Propositional check models        : 0
% 0.12/0.45  %    Propositional check unsatisfiable : 0
% 0.12/0.45  %    Propositional clauses             : 0
% 0.12/0.45  %    Propositional clauses after purity: 0
% 0.12/0.45  %    Propositional unsat core size     : 0
% 0.12/0.45  %    Propositional preprocessing time  : 0.000
% 0.12/0.45  %    Propositional encoding time       : 0.000
% 0.12/0.45  %    Propositional solver time         : 0.000
% 0.12/0.45  %    Success case prop preproc time    : 0.000
% 0.12/0.45  %    Success case prop encoding time   : 0.000
% 0.12/0.45  %    Success case prop solver time     : 0.000
% 0.12/0.45  % Current number of processed clauses  : 22
% 0.12/0.45  %    Positive orientable unit clauses  : 6
% 0.12/0.45  %    Positive unorientable unit clauses: 1
% 0.12/0.45  %    Negative unit clauses             : 11
% 0.12/0.45  %    Non-unit-clauses                  : 4
% 0.12/0.45  % Current number of unprocessed clauses: 66
% 0.12/0.45  % ...number of literals in the above   : 125
% 0.12/0.45  % Current number of archived formulas  : 0
% 0.12/0.45  % Current number of archived clauses   : 2
% 0.12/0.45  % Clause-clause subsumption calls (NU) : 1
% 0.12/0.45  % Rec. Clause-clause subsumption calls : 1
% 0.12/0.45  % Non-unit clause-clause subsumptions  : 0
% 0.12/0.45  % Unit Clause-clause subsumption calls : 17
% 0.12/0.45  % Rewrite failures with RHS unbound    : 0
% 0.12/0.45  % BW rewrite match attempts            : 5
% 0.12/0.45  % BW rewrite match successes           : 3
% 0.12/0.45  % Condensation attempts                : 0
% 0.12/0.45  % Condensation successes               : 0
% 0.12/0.45  % Termbank termtop insertions          : 1645
% 0.12/0.45  % Search garbage collected termcells   : 283
% 0.12/0.45  
% 0.12/0.45  % -------------------------------------------------
% 0.12/0.45  % User time                : 0.004 s
% 0.12/0.45  % System time              : 0.002 s
% 0.12/0.45  % Total time               : 0.007 s
% 0.12/0.45  % Maximum resident set size: 3672 pages
% 0.12/0.45  
% 0.12/0.45  % -------------------------------------------------
% 0.12/0.45  % User time                : 0.008 s
% 0.12/0.45  % System time              : 0.006 s
% 0.12/0.45  % Total time               : 0.013 s
% 0.12/0.45  % Maximum resident set size: 4864 pages
% 0.12/0.45  % E exiting
%------------------------------------------------------------------------------