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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV397+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 02:54:38 PM UTC 2026

% Result   : Theorem 0.14s 0.43s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   26 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  10   ~;   5   |;   2   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   32 (   5 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l33_co,conjecture,
    ! [X1,X2,X3,X4] :
      ( ok(remove_cpq(triple(X1,X2,X3),X4))
     => contains_slb(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l33_co) ).

fof(ax43,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ contains_slb(X2,X4)
     => remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax43) ).

fof(ax40,axiom,
    ! [X1,X2] :
      ( ok(triple(X1,X2,bad))
    <=> ~ $true ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax40) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ok(remove_cpq(triple(X1,X2,X3),X4))
       => contains_slb(X2,X4) ),
    inference(assume_negation,[status(cth)],[l33_co]) ).

fof(c_0_4,plain,
    ! [X1,X2,X3,X4] :
      ( ~ contains_slb(X2,X4)
     => remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
    inference(fof_simplification,[status(thm)],[ax43]) ).

fof(c_0_5,plain,
    ! [X15,X16] :
      ( ( ok(triple(X15,X16,bad))
        | $true )
      & ( ~ $true
        | ~ ok(triple(X15,X16,bad)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).

fof(c_0_6,negated_conjecture,
    ( ~ contains_slb(esk2_0,esk4_0)
    & ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

fof(c_0_7,plain,
    ! [X23,X24,X25,X26] :
      ( remove_cpq(triple(X23,X24,X25),X26) = triple(X23,X24,bad)
      | contains_slb(X24,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

cnf(c_0_8,plain,
    ( $false
    | ~ ok(triple(X1,X2,bad)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( remove_cpq(triple(X3,X1,X4),X2) = triple(X3,X1,bad)
    | contains_slb(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ~ ok(triple(X1,X2,bad)),
    inference(cn,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ~ contains_slb(esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV397+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n001.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 08:50:44 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  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
% 0.14/0.43  % Version: 3.5.1
% 0.14/0.43  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.43  % Starting sh5l with 300s (1) cores
% 0.14/0.43  % new_bool_1 with pid 2730609 completed with status 0
% 0.14/0.43  % Result found by new_bool_1
% 0.14/0.43  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.43  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.43  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.43  % Search class: FGUSS-FFSF31-MFFFFFNN
% 0.14/0.43  % partial match(1): FGUSF-FFSF31-MFFFFFNN
% 0.14/0.43  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.43  % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.43  % SubtermCWHack with pid 2730611 completed with status 0
% 0.14/0.43  % Result found by SubtermCWHack
% 0.14/0.43  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.43  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.43  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.43  % Search class: FGUSS-FFSF31-MFFFFFNN
% 0.14/0.43  % partial match(1): FGUSF-FFSF31-MFFFFFNN
% 0.14/0.43  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.43  % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.43  % Preprocessing time       : 0.002 s
% 0.14/0.43  
% 0.14/0.43  % Proof found!
% 0.14/0.43  % SZS status Theorem
% 0.14/0.43  % SZS output start CNFRefutation
% See solution above
% 0.14/0.43  % Parsed axioms                        : 42
% 0.14/0.43  % Removed by relevancy pruning/SinE    : 29
% 0.14/0.43  % Initial clauses                      : 17
% 0.14/0.43  % Removed in clause preprocessing      : 1
% 0.14/0.43  % Initial clauses in saturation        : 16
% 0.14/0.43  % Processed clauses                    : 16
% 0.14/0.43  % ...of these trivial                  : 0
% 0.14/0.43  % ...subsumed                          : 0
% 0.14/0.43  % ...remaining for further processing  : 16
% 0.14/0.43  % Other redundant clauses eliminated   : 1
% 0.14/0.43  % Clauses deleted for lack of memory   : 0
% 0.14/0.43  % Backward-subsumed                    : 0
% 0.14/0.43  % Backward-rewritten                   : 0
% 0.14/0.43  % Generated clauses                    : 7
% 0.14/0.43  % ...of the previous two non-redundant : 4
% 0.14/0.43  % ...aggressively subsumed             : 0
% 0.14/0.43  % Contextual simplify-reflections      : 0
% 0.14/0.43  % Paramodulations                      : 6
% 0.14/0.43  % Factorizations                       : 0
% 0.14/0.43  % NegExts                              : 0
% 0.14/0.43  % Equation resolutions                 : 1
% 0.14/0.43  % Disequality decompositions           : 0
% 0.14/0.43  % Total rewrite steps                  : 1
% 0.14/0.43  % ...of those cached                   : 0
% 0.14/0.43  % Propositional unsat checks           : 0
% 0.14/0.43  %    Propositional check models        : 0
% 0.14/0.43  %    Propositional check unsatisfiable : 0
% 0.14/0.43  %    Propositional clauses             : 0
% 0.14/0.43  %    Propositional clauses after purity: 0
% 0.14/0.43  %    Propositional unsat core size     : 0
% 0.14/0.43  %    Propositional preprocessing time  : 0.000
% 0.14/0.43  %    Propositional encoding time       : 0.000
% 0.14/0.43  %    Propositional solver time         : 0.000
% 0.14/0.43  %    Success case prop preproc time    : 0.000
% 0.14/0.43  %    Success case prop encoding time   : 0.000
% 0.14/0.43  %    Success case prop solver time     : 0.000
% 0.14/0.43  % Current number of processed clauses  : 15
% 0.14/0.43  %    Positive orientable unit clauses  : 5
% 0.14/0.43  %    Positive unorientable unit clauses: 0
% 0.14/0.43  %    Negative unit clauses             : 3
% 0.14/0.43  %    Non-unit-clauses                  : 7
% 0.14/0.43  % Current number of unprocessed clauses: 3
% 0.14/0.43  % ...number of literals in the above   : 11
% 0.14/0.43  % Current number of archived formulas  : 0
% 0.14/0.43  % Current number of archived clauses   : 0
% 0.14/0.43  % Clause-clause subsumption calls (NU) : 0
% 0.14/0.43  % Rec. Clause-clause subsumption calls : 0
% 0.14/0.43  % Non-unit clause-clause subsumptions  : 0
% 0.14/0.43  % Unit Clause-clause subsumption calls : 0
% 0.14/0.43  % Rewrite failures with RHS unbound    : 0
% 0.14/0.43  % BW rewrite match attempts            : 0
% 0.14/0.43  % BW rewrite match successes           : 0
% 0.14/0.43  % Condensation attempts                : 0
% 0.14/0.43  % Condensation successes               : 0
% 0.14/0.43  % Termbank termtop insertions          : 1693
% 0.14/0.43  % Search garbage collected termcells   : 429
% 0.14/0.43  
% 0.14/0.43  % -------------------------------------------------
% 0.14/0.43  % User time                : 0.003 s
% 0.14/0.43  % System time              : 0.002 s
% 0.14/0.43  % Total time               : 0.005 s
% 0.14/0.43  % Maximum resident set size: 3688 pages
% 0.14/0.43  
% 0.14/0.43  % -------------------------------------------------
% 0.14/0.43  % User time                : 0.007 s
% 0.14/0.43  % System time              : 0.006 s
% 0.14/0.43  % Total time               : 0.013 s
% 0.14/0.43  % Maximum resident set size: 4608 pages
% 0.14/0.43  % E exiting
%------------------------------------------------------------------------------