↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB100+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:17:36 PM UTC 2026

% Result   : Theorem 2.21s 2.02s
% Output   : CNFRefutation 2.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :   78 (  36   ~;  30   |;   9   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   36 (   0 sgn  15   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conclusion_rdfbased_sem_restrict_somevalues_inst_obj,conjecture,
    ? [X42] :
      ( iext(uri_rdf_type,X42,uri_ex_c)
      & iext(uri_ex_p,uri_ex_w,X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_somevalues_inst_obj) ).

fof(owl_restrict_somevaluesfrom,axiom,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_someValuesFrom,X11,X5)
        & iext(uri_owl_onProperty,X11,X2) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> ? [X7] :
              ( iext(X2,X4,X7)
              & icext(X5,X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_restrict_somevaluesfrom) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(premise_rdfbased_sem_restrict_somevalues_inst_obj,axiom,
    ( iext(uri_owl_someValuesFrom,uri_ex_z,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_somevalues_inst_obj) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X42] :
        ( iext(uri_rdf_type,X42,uri_ex_c)
        & iext(uri_ex_p,uri_ex_w,X42) ),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_somevalues_inst_obj]) ).

fof(c_0_5,negated_conjecture,
    ! [X2223] :
      ( ~ iext(uri_rdf_type,X2223,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_w,X2223) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_6,plain,
    ! [X1719,X1720,X1721,X1722,X1724,X1725] :
      ( ( iext(X1720,X1722,esk104_4(X1719,X1720,X1721,X1722))
        | ~ icext(X1719,X1722)
        | ~ iext(uri_owl_someValuesFrom,X1719,X1721)
        | ~ iext(uri_owl_onProperty,X1719,X1720) )
      & ( icext(X1721,esk104_4(X1719,X1720,X1721,X1722))
        | ~ icext(X1719,X1722)
        | ~ iext(uri_owl_someValuesFrom,X1719,X1721)
        | ~ iext(uri_owl_onProperty,X1719,X1720) )
      & ( ~ iext(X1720,X1724,X1725)
        | ~ icext(X1721,X1725)
        | icext(X1719,X1724)
        | ~ iext(uri_owl_someValuesFrom,X1719,X1721)
        | ~ iext(uri_owl_onProperty,X1719,X1720) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_somevaluesfrom])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ iext(uri_rdf_type,X1,uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_w,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( iext(X1,X2,esk104_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X1023,X1024] :
      ( ( ~ iext(uri_rdf_type,X1023,X1024)
        | icext(X1024,X1023) )
      & ( ~ icext(X1024,X1023)
        | iext(uri_rdf_type,X1023,X1024) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ icext(X1,uri_ex_w)
    | ~ iext(uri_rdf_type,esk104_4(X1,uri_ex_p,X2,uri_ex_w),uri_ex_c)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ icext(uri_ex_c,esk104_4(X1,uri_ex_p,X2,uri_ex_w))
    | ~ icext(X1,uri_ex_w)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,plain,
    ( icext(X1,esk104_4(X2,X3,X1,X4))
    | ~ icext(X2,X4)
    | ~ iext(uri_owl_someValuesFrom,X2,X1)
    | ~ iext(uri_owl_onProperty,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_somevalues_inst_obj]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ icext(X1,uri_ex_w)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    iext(uri_owl_someValuesFrom,uri_ex_z,uri_ex_c),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_somevalues_inst_obj]) ).

cnf(c_0_18,plain,
    icext(uri_ex_z,uri_ex_w),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_somevalues_inst_obj]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB100+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n003.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 04:14:56 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 2.21/2.02  % Version  : CSE_E---1.7
% 2.21/2.02  % Problem  : theBenchmark.p
% 2.21/2.02  % SZS status Theorem for theBenchmark.p
% 2.21/2.02  % SZS output start CNFRefutation
% See solution above
% 2.33/2.02  % Total time : 1.476s
%------------------------------------------------------------------------------