%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT005-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:50:40 EDT 2022

% Result   : Unsatisfiable 1.53s 0.56s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   22 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50,plain,
    $false,
    inference(subsumption_resolution,[],[f49,f33]) ).

fof(f33,plain,
    ~ there_exists(d),
    inference(subsumption_resolution,[],[f32,f21]) ).

fof(f21,axiom,
    d != domain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).

fof(f32,plain,
    ( d = domain(a)
    | ~ there_exists(d) ),
    inference(forward_demodulation,[],[f31,f26]) ).

fof(f26,plain,
    domain(a) = codomain(d),
    inference(resolution,[],[f18,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).

fof(f18,axiom,
    there_exists(compose(a,d)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ad_exists) ).

fof(f31,plain,
    ( ~ there_exists(d)
    | d = codomain(d) ),
    inference(superposition,[],[f19,f11]) ).

fof(f11,axiom,
    ! [X0] : compose(codomain(X0),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_codomain) ).

fof(f19,axiom,
    ! [X0] :
      ( ~ there_exists(compose(X0,d))
      | compose(X0,d) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xd_equals_x) ).

fof(f49,plain,
    there_exists(d),
    inference(subsumption_resolution,[],[f48,f25]) ).

fof(f25,plain,
    there_exists(domain(a)),
    inference(resolution,[],[f18,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(domain(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).

fof(f48,plain,
    ( ~ there_exists(domain(a))
    | there_exists(d) ),
    inference(superposition,[],[f5,f26]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ there_exists(codomain(X0))
      | there_exists(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_has_elements) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CAT005-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 16:17:22 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.24/0.54  % (2419)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.24/0.55  % (2423)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.53/0.55  % (2432)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.53/0.55  % (2439)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.53/0.56  % (2432)First to succeed.
% 1.53/0.56  % (2439)Also succeeded, but the first one will report.
% 1.53/0.56  % (2432)Refutation found. Thanks to Tanya!
% 1.53/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.53/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.56  % (2432)------------------------------
% 1.53/0.56  % (2432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56  % (2432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (2432)Termination reason: Refutation
% 1.53/0.56  
% 1.53/0.56  % (2432)Memory used [KB]: 5884
% 1.53/0.56  % (2432)Time elapsed: 0.129 s
% 1.53/0.56  % (2432)Instructions burned: 2 (million)
% 1.53/0.56  % (2432)------------------------------
% 1.53/0.56  % (2432)------------------------------
% 1.53/0.56  % (2412)Success in time 0.204 s
%------------------------------------------------------------------------------