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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW300+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 03:10:15 PM UTC 2026

% Result   : Theorem 0.44s 0.76s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   21 (   8   ~;   4   |;   2   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
    ! [X282,X283] :
      ( v_P(X282,X283)
     => ! [X284] :
          ( ! [X285] :
              ( v_P_H(X285,X283)
             => v_Q(X285,X284) )
         => v_Q(X282,X284) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(conj_0,hypothesis,
    ! [X282,X283] :
      ( v_P(X282,X283)
     => v_P_H(X282,X283) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X282,X283] :
        ( v_P(X282,X283)
       => ! [X284] :
            ( ! [X285] :
                ( v_P_H(X285,X283)
               => v_Q(X285,X284) )
           => v_Q(X282,X284) ) ),
    inference(assume_negation,[status(cth)],[conj_1]) ).

fof(c_0_3,negated_conjecture,
    ! [X291] :
      ( ~ v_Q(esk1_0,esk3_0)
      & ( v_Q(X291,esk3_0)
        | ~ v_P_H(X291,esk2_0) )
      & v_P(esk1_0,esk2_0) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ~ v_Q(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ v_P_H(X1,esk2_0)
    | v_Q(X1,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_6,hypothesis,
    ! [X286,X287] :
      ( v_P_H(X286,X287)
      | ~ v_P(X286,X287) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).

cnf(c_0_7,negated_conjecture,
    ~ v_P_H(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,hypothesis,
    ( ~ v_P(X1,X2)
    | v_P_H(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    v_P(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

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  : SWW300+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n011.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 09:46:25 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 0.44/0.76  % Version: 3.5.1
% 0.44/0.76  % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.44/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.76  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.76  % Starting new_bool_3 with 300s (1) cores
% 0.44/0.76  % Starting new_bool_1 with 300s (1) cores
% 0.44/0.76  % Starting sh5l with 300s (1) cores
% 0.44/0.76  % new_bool_3 with pid 1594012 completed with status 0
% 0.44/0.76  % Result found by new_bool_3
% 0.44/0.76  % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.44/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.76  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.76  % Starting new_bool_3 with 300s (1) cores
% 0.44/0.76  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.44/0.76  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.76  % Search class: FHUNF-FFSF00-SFFFFFNN
% 0.44/0.76  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.76  % Starting SubtermCWHack with 31s (1) cores
% 0.44/0.76  % SubtermCWHack with pid 1594016 completed with status 0
% 0.44/0.76  % Result found by SubtermCWHack
% 0.44/0.76  % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.44/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.76  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.76  % Starting new_bool_3 with 300s (1) cores
% 0.44/0.76  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.44/0.76  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.76  % Search class: FHUNF-FFSF00-SFFFFFNN
% 0.44/0.76  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.76  % Starting SubtermCWHack with 31s (1) cores
% 0.44/0.76  % Preprocessing time       : 0.002 s
% 0.44/0.76  
% 0.44/0.76  % Proof found!
% 0.44/0.76  % SZS status Theorem
% 0.44/0.76  % SZS output start CNFRefutation
% See solution above
% 0.44/0.76  % Parsed axioms                        : 5242
% 0.44/0.76  % Removed by relevancy pruning/SinE    : 5240
% 0.44/0.76  % Initial clauses                      : 4
% 0.44/0.76  % Removed in clause preprocessing      : 0
% 0.44/0.76  % Initial clauses in saturation        : 4
% 0.44/0.76  % Processed clauses                    : 5
% 0.44/0.76  % ...of these trivial                  : 0
% 0.44/0.76  % ...subsumed                          : 0
% 0.44/0.76  % ...remaining for further processing  : 5
% 0.44/0.76  % Other redundant clauses eliminated   : 0
% 0.44/0.76  % Clauses deleted for lack of memory   : 0
% 0.44/0.76  % Backward-subsumed                    : 0
% 0.44/0.76  % Backward-rewritten                   : 0
% 0.44/0.76  % Generated clauses                    : 2
% 0.44/0.76  % ...of the previous two non-redundant : 1
% 0.44/0.76  % ...aggressively subsumed             : 0
% 0.44/0.76  % Contextual simplify-reflections      : 0
% 0.44/0.76  % Paramodulations                      : 2
% 0.44/0.76  % Factorizations                       : 0
% 0.44/0.76  % NegExts                              : 0
% 0.44/0.76  % Equation resolutions                 : 0
% 0.44/0.76  % Disequality decompositions           : 0
% 0.44/0.76  % Total rewrite steps                  : 1
% 0.44/0.76  % ...of those cached                   : 0
% 0.44/0.76  % Propositional unsat checks           : 0
% 0.44/0.76  %    Propositional check models        : 0
% 0.44/0.76  %    Propositional check unsatisfiable : 0
% 0.44/0.76  %    Propositional clauses             : 0
% 0.44/0.76  %    Propositional clauses after purity: 0
% 0.44/0.76  %    Propositional unsat core size     : 0
% 0.44/0.76  %    Propositional preprocessing time  : 0.000
% 0.44/0.76  %    Propositional encoding time       : 0.000
% 0.44/0.76  %    Propositional solver time         : 0.000
% 0.44/0.76  %    Success case prop preproc time    : 0.000
% 0.44/0.76  %    Success case prop encoding time   : 0.000
% 0.44/0.76  %    Success case prop solver time     : 0.000
% 0.44/0.76  % Current number of processed clauses  : 5
% 0.44/0.76  %    Positive orientable unit clauses  : 1
% 0.44/0.76  %    Positive unorientable unit clauses: 0
% 0.44/0.76  %    Negative unit clauses             : 2
% 0.44/0.76  %    Non-unit-clauses                  : 2
% 0.44/0.76  % Current number of unprocessed clauses: 0
% 0.44/0.76  % ...number of literals in the above   : 0
% 0.44/0.76  % Current number of archived formulas  : 0
% 0.44/0.76  % Current number of archived clauses   : 0
% 0.44/0.76  % Clause-clause subsumption calls (NU) : 0
% 0.44/0.76  % Rec. Clause-clause subsumption calls : 0
% 0.44/0.76  % Non-unit clause-clause subsumptions  : 0
% 0.44/0.76  % Unit Clause-clause subsumption calls : 0
% 0.44/0.76  % Rewrite failures with RHS unbound    : 0
% 0.44/0.76  % BW rewrite match attempts            : 0
% 0.44/0.76  % BW rewrite match successes           : 0
% 0.44/0.76  % Condensation attempts                : 0
% 0.44/0.76  % Condensation successes               : 0
% 0.44/0.76  % Termbank termtop insertions          : 130384
% 0.44/0.76  % Search garbage collected termcells   : 50209
% 0.44/0.76  
% 0.44/0.76  % -------------------------------------------------
% 0.44/0.76  % User time                : 0.032 s
% 0.44/0.76  % System time              : 0.018 s
% 0.44/0.76  % Total time               : 0.050 s
% 0.44/0.76  % Maximum resident set size: 12384 pages
% 0.44/0.76  
% 0.44/0.76  % -------------------------------------------------
% 0.44/0.76  % User time                : 0.289 s
% 0.44/0.76  % System time              : 0.037 s
% 0.44/0.76  % Total time               : 0.325 s
% 0.44/0.76  % Maximum resident set size: 12544 pages
% 0.44/0.76  % E exiting
%------------------------------------------------------------------------------