↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB057+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 : n010.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 02:38:35 PM UTC 2026

% Result   : Theorem 1.58s 0.84s
% Output   : CNFRefutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  13 unt;   0 def)
%            Number of atoms       :   62 (   6 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   59 (  24   ~;  15   |;  13   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   28 (   0 sgn  19   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conclusion_rdfbased_sem_eqdis_different_ext,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_different_ext) ).

fof(owl_eqdis_differentfrom,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_differentFrom,X4,X7)
    <=> X4 != X7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).

fof(owl_bool_complementof_class,axiom,
    ! [X11,X5] :
      ( iext(uri_owl_complementOf,X11,X5)
     => ( ! [X4] :
            ( icext(X11,X4)
          <=> ~ icext(X5,X4) )
        & ic(X5)
        & ic(X11) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_bool_complementof_class) ).

fof(premise_rdfbased_sem_eqdis_different_ext,axiom,
    ? [X42] :
      ( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
      & iext(uri_owl_complementOf,X42,uri_ex_c)
      & iext(uri_rdf_type,uri_ex_u,X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_different_ext) ).

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(c_0_5,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_eqdis_different_ext]) ).

fof(c_0_6,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_7,plain,
    ! [X4,X7] :
      ( iext(uri_owl_differentFrom,X4,X7)
    <=> X4 != X7 ),
    inference(fof_simplification,[status(thm)],[owl_eqdis_differentfrom]) ).

fof(c_0_8,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X782,X783] :
      ( ( iext(uri_owl_differentFrom,X782,X783)
        | X782 = X783 )
      & ( X782 != X783
        | ~ iext(uri_owl_differentFrom,X782,X783) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

fof(c_0_10,plain,
    ! [X11,X5] :
      ( iext(uri_owl_complementOf,X11,X5)
     => ( ! [X4] :
            ( icext(X11,X4)
          <=> ~ icext(X5,X4) )
        & ic(X5)
        & ic(X11) ) ),
    inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).

fof(c_0_11,plain,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_owl_complementOf,esk192_0,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_u,esk192_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_eqdis_different_ext])]) ).

cnf(c_0_12,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( iext(uri_owl_differentFrom,X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_14,plain,
    ! [X253,X254,X255] :
      ( ( ~ iext(uri_owl_complementOf,X253,X254)
        | icext(X253,X255)
        | icext(X254,X255) )
      & ( ~ iext(uri_owl_complementOf,X253,X254)
        | ~ icext(X254,X255)
        | ~ icext(X253,X255) )
      & ( ~ iext(uri_owl_complementOf,X253,X254)
        | ic(X254) )
      & ( ~ iext(uri_owl_complementOf,X253,X254)
        | ic(X253) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).

fof(c_0_15,plain,
    ! [X49,X50] :
      ( ( iext(uri_rdf_type,X49,X50)
        | ~ icext(X50,X49) )
      & ( icext(X50,X49)
        | ~ iext(uri_rdf_type,X49,X50) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_16,plain,
    iext(uri_rdf_type,uri_ex_u,esk192_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    uri_ex_u = uri_ex_w,
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    ( ~ iext(uri_owl_complementOf,X1,X3)
    | ~ icext(X3,X2)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    iext(uri_owl_complementOf,esk192_0,uri_ex_c),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,plain,
    iext(uri_rdf_type,uri_ex_w,esk192_0),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,plain,
    ( ~ icext(esk192_0,X1)
    | ~ icext(uri_ex_c,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    icext(uri_ex_c,uri_ex_w),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,plain,
    icext(esk192_0,uri_ex_w),
    inference(spm,[status(thm)],[c_0_20,c_0_22]) ).

cnf(c_0_26,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB057+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34  % Computer : n010.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Mon Sep 21 07:44:55 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  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
% 1.58/0.84  % Version: 3.5.1
% 1.58/0.84  % Preprocessing class: FSLMSMSLSSSNFFN.
% 1.58/0.84  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/0.84  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 1.58/0.84  % Starting new_bool_3 with 600s (2) cores
% 1.58/0.84  % Starting new_bool_1 with 600s (2) cores
% 1.58/0.84  % Starting sh5l with 300s (1) cores
% 1.58/0.84  % new_bool_1 with pid 397367 completed with status 9
% 1.58/0.84  % new_bool_3 with pid 397366 completed with status 9
% 1.58/0.84  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 397365 completed with status 0
% 1.58/0.84  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 1.58/0.84  % Preprocessing class: FSLMSMSLSSSNFFN.
% 1.58/0.84  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/0.84  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 1.58/0.84  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.58/0.84  % No SInE strategy applied
% 1.58/0.84  % Search class: FGHSM-SMLM33-SFFFFFNN
% 1.58/0.84  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 1.58/0.84  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 1.58/0.84  % Starting SubtermCWHack with 82s (1) cores
% 1.58/0.84  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 1.58/0.84  % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 1.58/0.84  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 397387 completed with status 0
% 1.58/0.84  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 1.58/0.84  % Preprocessing class: FSLMSMSLSSSNFFN.
% 1.58/0.84  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/0.84  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 1.58/0.84  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.58/0.84  % No SInE strategy applied
% 1.58/0.84  % Search class: FGHSM-SMLM33-SFFFFFNN
% 1.58/0.84  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 1.58/0.84  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 1.58/0.84  % Starting SubtermCWHack with 82s (1) cores
% 1.58/0.84  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 1.58/0.84  % Preprocessing time       : 0.011 s
% 1.58/0.84  
% 1.58/0.84  % Proof found!
% 1.58/0.84  % SZS status Theorem
% 1.58/0.84  % SZS output start CNFRefutation
% See solution above
% 1.58/0.84  % Parsed axioms                        : 560
% 1.58/0.84  % Removed by relevancy pruning/SinE    : 0
% 1.58/0.84  % Initial clauses                      : 1270
% 1.58/0.84  % Removed in clause preprocessing      : 111
% 1.58/0.84  % Initial clauses in saturation        : 1159
% 1.58/0.84  % Processed clauses                    : 2607
% 1.58/0.84  % ...of these trivial                  : 151
% 1.58/0.84  % ...subsumed                          : 243
% 1.58/0.84  % ...remaining for further processing  : 2213
% 1.58/0.84  % Other redundant clauses eliminated   : 16
% 1.58/0.84  % Clauses deleted for lack of memory   : 0
% 1.58/0.84  % Backward-subsumed                    : 28
% 1.58/0.84  % Backward-rewritten                   : 2
% 1.58/0.84  % Generated clauses                    : 10007
% 1.58/0.84  % ...of the previous two non-redundant : 9363
% 1.58/0.84  % ...aggressively subsumed             : 0
% 1.58/0.84  % Contextual simplify-reflections      : 16
% 1.58/0.84  % Paramodulations                      : 9989
% 1.58/0.84  % Factorizations                       : 2
% 1.58/0.84  % NegExts                              : 0
% 1.58/0.84  % Equation resolutions                 : 16
% 1.58/0.84  % Disequality decompositions           : 0
% 1.58/0.84  % Total rewrite steps                  : 7262
% 1.58/0.84  % ...of those cached                   : 6979
% 1.58/0.84  % Propositional unsat checks           : 0
% 1.58/0.84  %    Propositional check models        : 0
% 1.58/0.84  %    Propositional check unsatisfiable : 0
% 1.58/0.84  %    Propositional clauses             : 0
% 1.58/0.84  %    Propositional clauses after purity: 0
% 1.58/0.84  %    Propositional unsat core size     : 0
% 1.58/0.84  %    Propositional preprocessing time  : 0.000
% 1.58/0.84  %    Propositional encoding time       : 0.000
% 1.58/0.84  %    Propositional solver time         : 0.000
% 1.58/0.84  %    Success case prop preproc time    : 0.000
% 1.58/0.84  %    Success case prop encoding time   : 0.000
% 1.58/0.84  %    Success case prop solver time     : 0.000
% 1.58/0.84  % Current number of processed clauses  : 2167
% 1.58/0.84  %    Positive orientable unit clauses  : 739
% 1.58/0.84  %    Positive unorientable unit clauses: 0
% 1.58/0.84  %    Negative unit clauses             : 4
% 1.58/0.84  %    Non-unit-clauses                  : 1424
% 1.58/0.84  % Current number of unprocessed clauses: 7910
% 1.58/0.84  % ...number of literals in the above   : 44106
% 1.58/0.84  % Current number of archived formulas  : 0
% 1.58/0.84  % Current number of archived clauses   : 31
% 1.58/0.84  % Clause-clause subsumption calls (NU) : 794249
% 1.58/0.84  % Rec. Clause-clause subsumption calls : 137735
% 1.58/0.84  % Non-unit clause-clause subsumptions  : 283
% 1.58/0.84  % Unit Clause-clause subsumption calls : 152579
% 1.58/0.84  % Rewrite failures with RHS unbound    : 0
% 1.58/0.84  % BW rewrite match attempts            : 57
% 1.58/0.84  % BW rewrite match successes           : 1
% 1.58/0.84  % Condensation attempts                : 0
% 1.58/0.84  % Condensation successes               : 0
% 1.58/0.84  % Termbank termtop insertions          : 311453
% 1.58/0.84  % Search garbage collected termcells   : 19095
% 1.58/0.84  
% 1.58/0.84  % -------------------------------------------------
% 1.58/0.84  % User time                : 0.381 s
% 1.58/0.84  % System time              : 0.027 s
% 1.58/0.84  % Total time               : 0.408 s
% 1.58/0.84  % Maximum resident set size: 7508 pages
% 1.58/0.84  
% 1.58/0.84  % -------------------------------------------------
% 1.58/0.84  % User time                : 1.107 s
% 1.58/0.84  % System time              : 0.134 s
% 1.58/0.84  % Total time               : 1.242 s
% 1.58/0.84  % Maximum resident set size: 5376 pages
% 1.58/0.84  % E exiting
%------------------------------------------------------------------------------