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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 02:54:35 PM UTC 2026

% Result   : Theorem 0.04s 0.34s
% Output   : CNFRefutation 0.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  13 unt;   0 def)
%            Number of atoms       :   31 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  14   ~;   6   |;   2   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   32 (   6 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l5_co,conjecture,
    ! [X1,X2,X3] :
      ( contains_cpq(triple(X1,create_slb,X2),X3)
    <=> contains_pq(i(triple(X1,create_slb,X2)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l5_co) ).

fof(ax8,axiom,
    ! [X1] : ~ contains_pq(create_pq,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax',ax8) ).

fof(ax54,axiom,
    ! [X1,X2] : i(triple(X1,create_slb,X2)) = create_pq,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax54) ).

fof(ax20,axiom,
    ! [X1] : ~ contains_slb(create_slb,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax20) ).

fof(ax39,axiom,
    ! [X1,X2,X3,X4] :
      ( contains_cpq(triple(X1,X2,X3),X4)
    <=> contains_slb(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax39) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( contains_cpq(triple(X1,create_slb,X2),X3)
      <=> contains_pq(i(triple(X1,create_slb,X2)),X3) ),
    inference(assume_negation,[status(cth)],[l5_co]) ).

fof(c_0_6,plain,
    ! [X1] : ~ contains_pq(create_pq,X1),
    inference(fof_simplification,[status(thm)],[ax8]) ).

fof(c_0_7,negated_conjecture,
    ( ( contains_pq(i(triple(esk5_0,create_slb,esk6_0)),esk7_0)
      | contains_cpq(triple(esk5_0,create_slb,esk6_0),esk7_0) )
    & ( ~ contains_pq(i(triple(esk5_0,create_slb,esk6_0)),esk7_0)
      | ~ contains_cpq(triple(esk5_0,create_slb,esk6_0),esk7_0) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

fof(c_0_8,plain,
    ! [X147,X148] : i(triple(X147,create_slb,X148)) = create_pq,
    inference(variable_rename,[status(thm)],[ax54]) ).

fof(c_0_9,plain,
    ! [X17] : ~ contains_pq(create_pq,X17),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).

fof(c_0_10,plain,
    ! [X1] : ~ contains_slb(create_slb,X1),
    inference(fof_simplification,[status(thm)],[ax20]) ).

fof(c_0_11,plain,
    ! [X104,X105,X106,X107] :
      ( ( contains_cpq(triple(X104,X105,X106),X107)
        | ~ contains_slb(X105,X107) )
      & ( contains_slb(X105,X107)
        | ~ contains_cpq(triple(X104,X105,X106),X107) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax39])])]) ).

cnf(c_0_12,negated_conjecture,
    ( contains_pq(i(triple(esk5_0,create_slb,esk6_0)),esk7_0)
    | contains_cpq(triple(esk5_0,create_slb,esk6_0),esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    i(triple(X1,create_slb,X2)) = create_pq,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ~ contains_pq(create_pq,X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_15,plain,
    ! [X46] : ~ contains_slb(create_slb,X46),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

cnf(c_0_16,plain,
    ( ~ contains_cpq(triple(X1,X2,X3),X4)
    | contains_slb(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    contains_cpq(triple(esk5_0,create_slb,esk6_0),esk7_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).

cnf(c_0_18,plain,
    ~ contains_slb(create_slb,X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.29  % Computer : n012.cluster.edu
% 0.04/0.29  % Model    : x86_64 x86_64
% 0.04/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29  % Memory   : 8046.5625MB
% 0.04/0.29  % OS       : Linux 6.8.0-71-generic
% 0.04/0.29  % CPULimit : 300
% 0.04/0.29  % WCLimit  : 300
% 0.04/0.30  % DateTime : Mon Sep 21 08:43:38 UTC 2026
% 0.04/0.30  % CPUTime  : 
% 0.04/0.30  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.32  Running first-order theorem proving
% 0.04/0.32  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.04/0.34  % Version: 3.5.1
% 0.04/0.34  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.04/0.34  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.04/0.34  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.04/0.34  % Starting new_bool_3 with 300s (1) cores
% 0.04/0.34  % Starting new_bool_1 with 300s (1) cores
% 0.04/0.34  % Starting sh5l with 300s (1) cores
% 0.04/0.34  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2021656 completed with status 0
% 0.04/0.34  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.04/0.34  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.04/0.34  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.04/0.34  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.04/0.34  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.04/0.34  % No SInE strategy applied
% 0.04/0.34  % Search class: FGHSM-FFMF31-MFFFFFNN
% 0.04/0.34  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.04/0.34  % Starting SubtermCWHack with 136s (1) cores
% 0.04/0.34  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.04/0.34  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.04/0.34  % Starting new_bool_3 with 136s (1) cores
% 0.04/0.34  % Starting new_bool_1 with 136s (1) cores
% 0.04/0.34  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2021663 completed with status 0
% 0.04/0.34  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.04/0.34  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.04/0.34  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.04/0.34  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.04/0.34  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.04/0.34  % No SInE strategy applied
% 0.04/0.34  % Search class: FGHSM-FFMF31-MFFFFFNN
% 0.04/0.34  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.04/0.34  % Starting SubtermCWHack with 136s (1) cores
% 0.04/0.34  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.04/0.34  % Preprocessing time       : 0.001 s
% 0.04/0.34  % Presaturation interreduction done
% 0.04/0.34  
% 0.04/0.34  % Proof found!
% 0.04/0.34  % SZS status Theorem
% 0.04/0.34  % SZS output start CNFRefutation
% See solution above
% 0.04/0.34  % Parsed axioms                        : 63
% 0.04/0.34  % Removed by relevancy pruning/SinE    : 0
% 0.04/0.34  % Initial clauses                      : 90
% 0.04/0.34  % Removed in clause preprocessing      : 4
% 0.04/0.34  % Initial clauses in saturation        : 86
% 0.04/0.34  % Processed clauses                    : 125
% 0.04/0.34  % ...of these trivial                  : 0
% 0.04/0.34  % ...subsumed                          : 1
% 0.04/0.34  % ...remaining for further processing  : 124
% 0.04/0.34  % Other redundant clauses eliminated   : 4
% 0.04/0.34  % Clauses deleted for lack of memory   : 0
% 0.04/0.34  % Backward-subsumed                    : 0
% 0.04/0.34  % Backward-rewritten                   : 2
% 0.04/0.34  % Generated clauses                    : 8
% 0.04/0.34  % ...of the previous two non-redundant : 9
% 0.04/0.34  % ...aggressively subsumed             : 0
% 0.04/0.34  % Contextual simplify-reflections      : 2
% 0.04/0.34  % Paramodulations                      : 5
% 0.04/0.34  % Factorizations                       : 0
% 0.04/0.34  % NegExts                              : 0
% 0.04/0.34  % Equation resolutions                 : 4
% 0.04/0.34  % Disequality decompositions           : 0
% 0.04/0.34  % Total rewrite steps                  : 2
% 0.04/0.34  % ...of those cached                   : 1
% 0.04/0.34  % Propositional unsat checks           : 0
% 0.04/0.34  %    Propositional check models        : 0
% 0.04/0.34  %    Propositional check unsatisfiable : 0
% 0.04/0.34  %    Propositional clauses             : 0
% 0.04/0.34  %    Propositional clauses after purity: 0
% 0.04/0.34  %    Propositional unsat core size     : 0
% 0.04/0.34  %    Propositional preprocessing time  : 0.000
% 0.04/0.34  %    Propositional encoding time       : 0.000
% 0.04/0.34  %    Propositional solver time         : 0.000
% 0.04/0.34  %    Success case prop preproc time    : 0.000
% 0.04/0.34  %    Success case prop encoding time   : 0.000
% 0.04/0.34  %    Success case prop solver time     : 0.000
% 0.04/0.34  % Current number of processed clauses  : 34
% 0.04/0.34  %    Positive orientable unit clauses  : 12
% 0.04/0.34  %    Positive unorientable unit clauses: 0
% 0.04/0.34  %    Negative unit clauses             : 6
% 0.04/0.34  %    Non-unit-clauses                  : 16
% 0.04/0.34  % Current number of unprocessed clauses: 55
% 0.04/0.34  % ...number of literals in the above   : 126
% 0.04/0.34  % Current number of archived formulas  : 0
% 0.04/0.34  % Current number of archived clauses   : 89
% 0.04/0.34  % Clause-clause subsumption calls (NU) : 948
% 0.04/0.34  % Rec. Clause-clause subsumption calls : 788
% 0.04/0.34  % Non-unit clause-clause subsumptions  : 2
% 0.04/0.34  % Unit Clause-clause subsumption calls : 32
% 0.04/0.34  % Rewrite failures with RHS unbound    : 0
% 0.04/0.34  % BW rewrite match attempts            : 11
% 0.04/0.34  % BW rewrite match successes           : 1
% 0.04/0.34  % Condensation attempts                : 0
% 0.04/0.34  % Condensation successes               : 0
% 0.04/0.34  % Termbank termtop insertions          : 6590
% 0.04/0.34  % Search garbage collected termcells   : 1034
% 0.04/0.34  
% 0.04/0.34  % -------------------------------------------------
% 0.04/0.34  % User time                : 0.010 s
% 0.04/0.34  % System time              : 0.000 s
% 0.04/0.34  % Total time               : 0.010 s
% 0.04/0.34  % Maximum resident set size: 3968 pages
% 0.04/0.34  
% 0.04/0.34  % -------------------------------------------------
% 0.04/0.34  % User time                : 0.026 s
% 0.04/0.34  % System time              : 0.006 s
% 0.04/0.34  % Total time               : 0.032 s
% 0.04/0.34  % Maximum resident set size: 4608 pages
% 0.04/0.34  % E exiting
%------------------------------------------------------------------------------