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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB057+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 01:00:53 PM UTC 2026

% Result   : Theorem 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  13 unt;   0 def)
%            Number of atoms       :   57 (   5 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   53 (  22   ~;  13   |;  13   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 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   :   26 (  25   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(f278,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_bool_complementof_class) ).

fof(f345,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).

fof(f559,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(f560,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X0] :
      ( iext(uri_rdf_type,uri_ex_u,X0)
      & iext(uri_owl_complementOf,X0,uri_ex_c)
      & iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_different_ext) ).

fof(f572,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f560]) ).

fof(f671,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f278]) ).

fof(f1061,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(f1092,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X1,X2)
              | ~ icext(X0,X2) ) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(nnf_transformation,[],[f671]) ).

fof(f1320,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_differentFrom,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | ~ iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f345]) ).

fof(f1460,plain,
    ( iext(uri_rdf_type,uri_ex_u,sK251)
    & iext(uri_owl_complementOf,sK251,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK251]),skolemize(X0,sK251)],[f561]) ).

fof(f1486,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f1061]) ).

fof(f1827,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ~ icext(X0,X2)
      | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f1092]) ).

fof(f2322,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1320]) ).

fof(f2750,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f572]) ).

fof(f2751,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2752,plain,
    iext(uri_owl_complementOf,sK251,uri_ex_c),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2753,plain,
    iext(uri_rdf_type,uri_ex_u,sK251),
    inference(cnf_transformation,[],[f1460]) ).

fof(f3194,plain,
    ! [X0] :
      ( ~ icext(sK251,X0)
      | ~ icext(uri_ex_c,X0) ),
    inference(resolution,[],[f2752,f1827]) ).

fof(f3466,plain,
    icext(uri_ex_c,uri_ex_w),
    inference(resolution,[],[f1486,f2751]) ).

fof(f3467,plain,
    icext(sK251,uri_ex_u),
    inference(resolution,[],[f1486,f2753]) ).

fof(f3520,plain,
    ~ icext(uri_ex_c,uri_ex_u),
    inference(resolution,[],[f3467,f3194]) ).

fof(f3780,plain,
    uri_ex_w = uri_ex_u,
    inference(resolution,[],[f2322,f2750]) ).

fof(f3784,plain,
    ~ icext(uri_ex_c,uri_ex_w),
    inference(superposition,[],[f3520,f3780]) ).

fof(f3788,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3784,f3466]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB057+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38  % Computer : n018.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Sep 28 07:17:09 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41  Running first-order model finding
% 0.13/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54  % (3202724)Will run a generic schedule for satisfiability detection.
% 0.18/0.54  % (3202749)% WARNING: option uhcvi not known.
% 0.18/0.54  % (3202749)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3119907037:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.54  % (3202748)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=518904214_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.54  % (3202750)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2416278514:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.54  % (3202751)dis+10_1_sil=32000:sp=arity:random_seed=2266890391:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.54  % (3202752)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1168725633:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.54  % (3202753)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3040292557:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.54  % (3202754)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2335693468:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.54  % (3202750) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3202724-3202750"...
% 0.18/0.54  % (3202750)...printing done.
% 0.18/0.54  % (3202751)Instruction limit reached! 
% 0.18/0.54  % (3202751)------------------------------
% 0.18/0.54  % (3202751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.54  % (3202751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.54  % (3202751)CaDiCaL version: 2.1.3
% 0.18/0.54  % (3202751)Termination reason: Instruction limit
% 0.18/0.54  % (3202751)Termination phase: Saturation
% 0.18/0.54  % (3202751)Time elapsed: 0.056 s
% 0.18/0.54  % (3202751)Peak memory usage: 14 MB
% 0.18/0.54  % (3202751)Instructions burned: 107 (million)
% 0.18/0.54  % (3202752)Instruction limit reached! 
% 0.18/0.54  % (3202752)------------------------------
% 0.18/0.54  % (3202752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.54  % (3202752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.54  % (3202752)CaDiCaL version: 2.1.3
% 0.18/0.54  % (3202752)Termination reason: Instruction limit
% 0.18/0.54  % (3202752)Termination phase: Saturation
% 0.18/0.54  % (3202752)Time elapsed: 0.056 s
% 0.18/0.54  % (3202752)Peak memory usage: 13 MB
% 0.18/0.54  % (3202752)Instructions burned: 116 (million)
% 0.18/0.54  % (3202750)Refutation found. Thanks to Tanya!
% 0.18/0.54  % SZS status Theorem for theBenchmark
% 0.18/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54  % (3202750)------------------------------
% 0.18/0.54  % (3202750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.54  % (3202750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.54  % (3202750)CaDiCaL version: 2.1.3
% 0.18/0.54  % (3202750)Termination reason: Refutation
% 0.18/0.54  % (3202750)Time elapsed: 0.054 s
% 0.18/0.54  % (3202750)Peak memory usage: 14 MB
% 0.18/0.54  % (3202750)Instructions burned: 98 (million)
% 0.18/0.54  % (3202724)Success in time 0.116 s
% 0.18/0.54  % Vampire exiting
%------------------------------------------------------------------------------