↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB100+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 : Tue Sep 29 01:00:25 PM UTC 2026

% Result   : Theorem 5.38s 1.75s
% Output   : Refutation 5.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (   8 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  107 (  48   ~;  39   |;  15   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 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; 0-3 aty)
%            Number of variables   :   56 (  49   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f340,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_someValuesFrom,X0,X2)
        & iext(uri_owl_onProperty,X0,X1) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( iext(X1,X3,X4)
              & icext(X2,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).

fof(f559,conjecture,
    ? [X0] :
      ( iext(uri_rdf_type,X0,uri_ex_c)
      & iext(uri_ex_p,uri_ex_w,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_somevalues_inst_obj) ).

fof(f560,negated_conjecture,
    ~ ? [X0] :
        ( iext(uri_rdf_type,X0,uri_ex_c)
        & iext(uri_ex_p,uri_ex_w,X0) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,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(f569,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_w,X0) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f570,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( iext(X1,X3,X4)
              & icext(X2,X4) ) )
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(ennf_transformation,[],[f340]) ).

fof(f571,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( iext(X1,X3,X4)
              & icext(X2,X4) ) )
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(flattening,[],[f570]) ).

fof(f574,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f575,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ iext(X1,X3,X4)
                | ~ icext(X2,X4) ) )
          & ( ? [X4] :
                ( iext(X1,X3,X4)
                & icext(X2,X4) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(nnf_transformation,[],[f571]) ).

fof(f576,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ iext(X1,X3,X4)
                | ~ icext(X2,X4) ) )
          & ( ? [X5] :
                ( iext(X1,X3,X5)
                & icext(X2,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(rectify,[],[f575]) ).

fof(f577,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ iext(X1,X3,X4)
                | ~ icext(X2,X4) ) )
          & ( ( iext(X1,X3,sK0(X1,X2,X3))
              & icext(X2,sK0(X1,X2,X3)) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X5,sK0(X1,X2,X3))],[f576]) ).

fof(f578,plain,
    ! [X0] :
      ( ~ iext(uri_ex_p,uri_ex_w,X0)
      | ~ iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(cnf_transformation,[],[f569]) ).

fof(f579,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f574]) ).

fof(f580,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f574]) ).

fof(f581,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[],[f561]) ).

fof(f582,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f583,plain,
    iext(uri_owl_someValuesFrom,uri_ex_z,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f584,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | icext(X2,sK0(X1,X2,X3))
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f585,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | iext(X1,X3,sK0(X1,X2,X3))
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f589,plain,
    icext(uri_ex_z,uri_ex_w),
    inference(resolution,[],[f579,f581]) ).

fof(f593,plain,
    ! [X0,X1] :
      ( icext(uri_ex_c,sK0(X1,uri_ex_c,X0))
      | ~ icext(uri_ex_z,X0)
      | ~ iext(uri_owl_onProperty,uri_ex_z,X1) ),
    inference(resolution,[],[f584,f583]) ).

fof(f594,plain,
    ! [X0,X1] :
      ( iext(X1,X0,sK0(X1,uri_ex_c,X0))
      | ~ icext(uri_ex_z,X0)
      | ~ iext(uri_owl_onProperty,uri_ex_z,X1) ),
    inference(resolution,[],[f585,f583]) ).

fof(f602,plain,
    ( ~ icext(uri_ex_z,uri_ex_w)
    | ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    | ~ iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_w),uri_ex_c) ),
    inference(resolution,[],[f594,f578]) ).

fof(f603,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    | ~ iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_w),uri_ex_c) ),
    inference(forward_subsumption_resolution,[],[f602,f589]) ).

fof(f637,plain,
    ~ iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_w),uri_ex_c),
    inference(forward_subsumption_resolution,[],[f603,f582]) ).

fof(f640,plain,
    ~ icext(uri_ex_c,sK0(uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(resolution,[],[f637,f580]) ).

fof(f641,plain,
    ( ~ icext(uri_ex_z,uri_ex_w)
    | ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p) ),
    inference(resolution,[],[f640,f593]) ).

fof(f642,plain,
    ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(forward_subsumption_resolution,[],[f641,f589]) ).

fof(f643,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f642,f582]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB100+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n006.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 07:20:40 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.38/1.75  % (3790576)Detected formulas, will run a generic FOF schedule.
% 5.38/1.75  % (3790582)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1999047531:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.38/1.75  % (3790583)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=744678698:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.38/1.75  % (3790584)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3443650782:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.38/1.75  % (3790581)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2843606310:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.38/1.75  % (3790587)dis-21_1_sil=8000:lcm=predicate:random_seed=2849282788:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.38/1.75  % (3790585)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3688469219:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.38/1.75  % (3790586)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=323955820:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.38/1.75  % (3790585)Refutation not found, incomplete strategy
% 5.38/1.75  % (3790585)------------------------------
% 5.38/1.75  % (3790585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.75  % (3790585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.75  % (3790584)Refutation not found, incomplete strategy
% 5.38/1.75  % (3790584)------------------------------
% 5.38/1.75  % (3790584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.75  % (3790585)CaDiCaL version: 2.1.3
% 5.38/1.75  % (3790584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.75  % (3790585)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.75  % (3790585)Time elapsed: 0.002 s
% 5.38/1.75  % (3790585)Peak memory usage: 86 MB
% 5.38/1.75  % (3790584)CaDiCaL version: 2.1.3
% 5.38/1.75  % (3790585)Instructions burned: 1 (million)
% 5.38/1.75  % (3790584)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.75  % (3790584)Time elapsed: 0.002 s
% 5.38/1.75  % (3790584)Peak memory usage: 87 MB
% 5.38/1.75  % (3790584)Instructions burned: 1 (million)
% 5.38/1.75  % (3790587)Instruction limit reached! 
% 5.38/1.75  % (3790587)------------------------------
% 5.38/1.75  % (3790587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.75  % (3790587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.75  % (3790587)CaDiCaL version: 2.1.3
% 5.38/1.75  % (3790587)Termination reason: Instruction limit
% 5.38/1.75  % (3790587)Termination phase: Saturation
% 5.38/1.75  % (3790587)Time elapsed: 0.068 s
% 5.38/1.75  % (3790587)Peak memory usage: 91 MB
% 5.38/1.75  % (3790587)Instructions burned: 129 (million)
% 5.38/1.75  % (3790586)Instruction limit reached! 
% 5.38/1.75  % (3790586)------------------------------
% 5.38/1.75  % (3790586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.75  % (3790586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.75  % (3790586)CaDiCaL version: 2.1.3
% 5.38/1.75  % (3790586)Termination reason: Instruction limit
% 5.38/1.75  % (3790586)Termination phase: Saturation
% 5.38/1.75  % (3790586)Time elapsed: 0.082 s
% 5.38/1.75  % (3790586)Peak memory usage: 90 MB
% 5.38/1.75  % (3790586)Instructions burned: 139 (million)
% 5.38/1.75  % (3790595)lrs+10_1_sil=8000:sp=occurrence:random_seed=2663789072:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.38/1.75  % (3790596)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4105356453:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.38/1.75  % (3790596)Refutation not found, incomplete strategy
% 5.38/1.75  % (3790596)------------------------------
% 5.38/1.75  % (3790596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.75  % (3790596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.75  % (3790596)CaDiCaL version: 2.1.3
% 5.38/1.75  % (3790596)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.75  % (3790596)Time elapsed: 0.003 s
% 5.38/1.75  % (3790595)First to succeed.
% 5.38/1.75  % (3790596)Peak memory usage: 88 MB
% 5.38/1.75  % (3790596)Instructions burned: 5 (million)
% 5.38/1.75  % (3790595)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3790576"
% 5.38/1.75  % (3790584)------------------------------
% 5.38/1.75  % (3790584)------------------------------
% 5.38/1.75  % (3790585)------------------------------
% 5.38/1.75  % (3790585)------------------------------
% 5.38/1.75  % (3790582)Also succeeded, but the first one will report.
% 5.38/1.75  % (3790599)lrs+1011_1_sil=32000:sp=occurrence:random_seed=554939230:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.38/1.75  % (3790599)Refutation not found, incomplete strategy
% 5.38/1.75  % (3790599)------------------------------
% 5.38/1.75  % (3790599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.75  % (3790599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.75  % (3790599)CaDiCaL version: 2.1.3
% 5.38/1.75  % (3790599)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.75  % (3790599)Time elapsed: 0.001 s
% 5.38/1.75  % (3790599)Peak memory usage: 88 MB
% 5.38/1.75  % (3790599)Instructions burned: 2 (million)
% 5.38/1.75  % (3790600)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1355349347:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.38/1.75  % (3790600)Also succeeded, but the first one will report.
% 5.38/1.75  % (3790596)------------------------------
% 5.38/1.75  % (3790596)------------------------------
% 5.38/1.75  % (3790595)Refutation found. Thanks to Tanya!
% 5.38/1.75  % SZS status Theorem for theBenchmark
% 5.38/1.75  % SZS output start Proof for theBenchmark
% See solution above
% 5.38/1.75  % (3790595)------------------------------
% 5.38/1.75  % (3790595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.75  % (3790595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.75  % (3790595)CaDiCaL version: 2.1.3
% 5.38/1.75  % (3790595)Termination reason: Refutation
% 5.38/1.75  % (3790595)Time elapsed: 0.004 s
% 5.38/1.75  % (3790595)Peak memory usage: 89 MB
% 5.38/1.75  % (3790595)Instructions burned: 3 (million)
% 5.38/1.75  % (3790595)------------------------------
% 5.38/1.75  % (3790595)------------------------------
% 5.38/1.75  % (3790576)Success in time 0.688 s
% 5.38/1.75  % Vampire exiting
%------------------------------------------------------------------------------