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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 SAT

% Computer : n012.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 01:00:31 PM UTC 2026

% Result   : Theorem 0.08s 0.40s
% Output   : Refutation 0.08s
% 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/Axioms/SWB001+0.ax',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(f980,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(f1362,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f354]) ).

fof(f2396,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1362]) ).

fof(f2749,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,[],[f980]) ).

fof(f2750,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f2751,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f2752,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f2753,plain,
    iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[],[f561]) ).

fof(f2777,definition,
    ( spl251_1
  <=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[spl251_1])],[avatar_definition]) ).

fof(f2779,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | spl251_1 ),
    inference(avatar_component_clause,[],[f2777]) ).

fof(f2781,definition,
    ( spl251_2
  <=> iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[spl251_2])],[avatar_definition]) ).

fof(f2785,definition,
    ( spl251_3
  <=> iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[spl251_3])],[avatar_definition]) ).

fof(f2788,plain,
    ( ~ spl251_1
    | ~ spl251_2
    | ~ spl251_3 ),
    inference(avatar_split_clause,[],[f2749,f2785,f2781,f2777]) ).

fof(f3333,plain,
    uri_ex_c2 = uri_ex_c1,
    inference(resolution,[],[f2396,f2753]) ).

fof(f3335,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
    inference(superposition,[],[f2750,f3333]) ).

fof(f3336,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
    inference(superposition,[],[f2751,f3333]) ).

fof(f3337,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
    inference(superposition,[],[f2752,f3333]) ).

fof(f3343,plain,
    spl251_3,
    inference(avatar_split_clause,[],[f3337,f2785]) ).

fof(f3344,plain,
    spl251_2,
    inference(avatar_split_clause,[],[f3336,f2781]) ).

fof(f3345,plain,
    ( $false
    | spl251_1 ),
    inference(forward_subsumption_resolution,[],[f3335,f2779]) ).

fof(f3346,plain,
    spl251_1,
    inference(avatar_contradiction_clause,[],[f3345]) ).

cnf(s1,plain,
    ( ~ spl251_1
    | ~ spl251_2
    | ~ spl251_3 ),
    inference(sat_conversion,[],[f2788]) ).

cnf(s35,plain,
    spl251_3,
    inference(sat_conversion,[],[f3343]) ).

cnf(s36,plain,
    spl251_2,
    inference(sat_conversion,[],[f3344]) ).

cnf(s37,plain,
    spl251_1,
    inference(sat_conversion,[],[f3346]) ).

cnf(s38,plain,
    $false,
    inference(rat,[],[s1,s35,s36,s37]) ).

fof(f3347,plain,
    $false,
    inference(avatar_sat_refutation,[],[s38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWB007+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32  % Computer : n012.cluster.edu
% 0.03/0.32  % Model    : x86_64 x86_64
% 0.03/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32  % Memory   : 8046.5625MB
% 0.03/0.32  % OS       : Linux 6.8.0-71-generic
% 0.03/0.32  % CPULimit : 300
% 0.03/0.32  % WCLimit  : 300
% 0.03/0.32  % DateTime : Mon Sep 28 06:55:55 UTC 2026
% 0.03/0.32  % CPUTime  : 
% 0.03/0.32  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.34  Running first-order model finding
% 0.08/0.34  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
% 0.08/0.40  % (3190050)Will run a generic schedule for satisfiability detection.
% 0.08/0.40  % (3190056)% WARNING: option uhcvi not known.
% 0.08/0.40  % (3190056)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2132698477:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.40  % (3190057)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1019265287:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.40  % (3190058)dis+10_1_sil=32000:sp=arity:random_seed=3081341632:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.40  % (3190055)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1648470965_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.40  % (3190059)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=33175749:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.40  % (3190060)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=653112110:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.40  % (3190061)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3673017433:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.40  % (3190058) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3190050-3190058"...
% 0.08/0.40  % (3190056) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3190050-3190056"...
% 0.08/0.40  % (3190058)...printing done.
% 0.08/0.40  % (3190056)...printing done.
% 0.08/0.40  % (3190058)Refutation found. Thanks to Tanya!
% 0.08/0.40  % SZS status Theorem for theBenchmark
% 0.08/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.40  % (3190058)------------------------------
% 0.08/0.40  % (3190058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.40  % (3190058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.40  % (3190058)CaDiCaL version: 2.1.3
% 0.08/0.40  % (3190058)Termination reason: Refutation
% 0.08/0.40  % (3190058)Time elapsed: 0.021 s
% 0.08/0.40  % (3190058)Peak memory usage: 14 MB
% 0.08/0.40  % (3190058)Instructions burned: 70 (million)
% 0.08/0.40  % (3190050)Success in time 0.056 s
% 0.08/0.40  % Vampire exiting
%------------------------------------------------------------------------------