↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB007+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 : n018.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 12:59:59 PM UTC 2026

% Result   : Theorem 3.36s 1.45s
% Output   : Refutation 3.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  16 unt;   3 def)
%            Number of atoms       :   56 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  17   ~;  13   |;   8   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f354,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f559,conjecture,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    & iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).

fof(f560,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
      & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
      & iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
    & iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).

fof(f564,plain,
    ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f354]) ).

fof(f594,plain,
    ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    inference(cnf_transformation,[],[f564]) ).

fof(f615,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f616,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f617,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f618,plain,
    iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[],[f561]) ).

fof(f627,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f592]) ).

fof(f644,definition,
    ( spl4_1
  <=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f646,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f648,definition,
    ( spl4_2
  <=> iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f652,definition,
    ( spl4_3
  <=> iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f594,f652,f648,f644]) ).

fof(f689,plain,
    uri_ex_c2 = uri_ex_c1,
    inference(resolution,[],[f627,f618]) ).

fof(f698,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
    inference(superposition,[],[f615,f689]) ).

fof(f699,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
    inference(superposition,[],[f616,f689]) ).

fof(f700,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
    inference(superposition,[],[f617,f689]) ).

fof(f705,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f700,f652]) ).

fof(f706,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f699,f648]) ).

fof(f707,plain,
    ( $false
    | spl4_1 ),
    inference(forward_subsumption_resolution,[],[f698,f646]) ).

fof(f708,plain,
    spl4_1,
    inference(avatar_contradiction_clause,[],[f707]) ).

cnf(s1,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s5,plain,
    spl4_3,
    inference(sat_conversion,[],[f705]) ).

cnf(s6,plain,
    spl4_2,
    inference(sat_conversion,[],[f706]) ).

cnf(s7,plain,
    spl4_1,
    inference(sat_conversion,[],[f708]) ).

cnf(s8,plain,
    $false,
    inference(rat,[],[s1,s5,s6,s7]) ).

fof(f709,plain,
    $false,
    inference(avatar_sat_refutation,[],[s8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB007+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n018.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 06:58:30 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 3.36/1.45  % (3189260)Detected formulas, will run a generic FOF schedule.
% 3.36/1.45  % (3189269)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=657328589:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.36/1.45  % (3189269)Instruction limit reached! 
% 3.36/1.45  % (3189269)------------------------------
% 3.36/1.45  % (3189269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.45  % (3189269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.45  % (3189269)CaDiCaL version: 2.1.3
% 3.36/1.45  % (3189269)Termination reason: Instruction limit
% 3.36/1.45  % (3189269)Termination phase: Saturation
% 3.36/1.45  % (3189269)Time elapsed: 0.026 s
% 3.36/1.45  % (3189269)Peak memory usage: 88 MB
% 3.36/1.45  % (3189269)Instructions burned: 121 (million)
% 3.36/1.45  % (3189266)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=2083955712:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.36/1.45  % (3189267)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=2133511377:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.36/1.45  % (3189265)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=1031477875:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.36/1.45  % (3189268)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4082610426:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.36/1.45  % (3189268)Refutation not found, incomplete strategy
% 3.36/1.45  % (3189268)------------------------------
% 3.36/1.45  % (3189268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.45  % (3189268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.45  % (3189268)CaDiCaL version: 2.1.3
% 3.36/1.45  % (3189268)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.45  % (3189268)Time elapsed: 0.003 s
% 3.36/1.45  % (3189268)Peak memory usage: 88 MB
% 3.36/1.45  % (3189268)Instructions burned: 3 (million)
% 3.36/1.45  % (3189271)dis-21_1_sil=8000:lcm=predicate:random_seed=521098867: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)
% 3.36/1.45  % (3189270)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3832620478:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.36/1.45  % (3189271)Instruction limit reached! 
% 3.36/1.45  % (3189271)------------------------------
% 3.36/1.45  % (3189271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.45  % (3189271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.45  % (3189271)CaDiCaL version: 2.1.3
% 3.36/1.45  % (3189271)Termination reason: Instruction limit
% 3.36/1.45  % (3189271)Termination phase: Saturation
% 3.36/1.45  % (3189271)Time elapsed: 0.068 s
% 3.36/1.45  % (3189271)Peak memory usage: 91 MB
% 3.36/1.45  % (3189271)Instructions burned: 130 (million)
% 3.36/1.45  % (3189273)lrs+10_1_sil=8000:sp=occurrence:random_seed=662117694:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.36/1.45  % (3189273)First to succeed.
% 3.36/1.45  % (3189273)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3189260"
% 3.36/1.45  % (3189270)Instruction limit reached! 
% 3.36/1.45  % (3189270)------------------------------
% 3.36/1.45  % (3189270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.45  % (3189270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.45  % (3189270)CaDiCaL version: 2.1.3
% 3.36/1.45  % (3189270)Termination reason: Instruction limit
% 3.36/1.45  % (3189270)Termination phase: Saturation
% 3.36/1.45  % (3189270)Time elapsed: 0.090 s
% 3.36/1.45  % (3189270)Peak memory usage: 91 MB
% 3.36/1.45  % (3189270)Instructions burned: 140 (million)
% 3.36/1.45  % (3189280)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2986939667:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.36/1.45  % (3189280)Refutation not found, incomplete strategy
% 3.36/1.45  % (3189280)------------------------------
% 3.36/1.45  % (3189280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.45  % (3189280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.45  % (3189280)CaDiCaL version: 2.1.3
% 3.36/1.45  % (3189280)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.45  % (3189280)Time elapsed: 0.005 s
% 3.36/1.45  % (3189280)Peak memory usage: 89 MB
% 3.36/1.45  % (3189280)Instructions burned: 7 (million)
% 3.36/1.45  % (3189273)Refutation found. Thanks to Tanya!
% 3.36/1.45  % SZS status Theorem for theBenchmark
% 3.36/1.45  % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.45  % (3189273)------------------------------
% 3.36/1.45  % (3189273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.45  % (3189273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.45  % (3189273)CaDiCaL version: 2.1.3
% 3.36/1.45  % (3189273)Termination reason: Refutation
% 3.36/1.45  % (3189273)Time elapsed: 0.003 s
% 3.36/1.45  % (3189273)Peak memory usage: 90 MB
% 3.36/1.45  % (3189273)Instructions burned: 4 (million)
% 3.36/1.45  % (3189273)------------------------------
% 3.36/1.45  % (3189273)------------------------------
% 3.36/1.45  % (3189260)Success in time 0.399 s
% 3.36/1.45  % Vampire exiting
%------------------------------------------------------------------------------