%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT012-4 : 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_sat --cores 0 -t %d %s

% Computer : n021.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 15:51:17 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (  11 unt;   0 def)
%            Number of atoms       :   43 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   32 (  16   ~;  13   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f30,f64,f70]) ).

fof(f70,plain,
    ~ spl2_5,
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | ~ spl2_5 ),
    inference(trivial_inequality_removal,[],[f68]) ).

fof(f68,plain,
    ( sF0 != sF0
    | ~ spl2_5 ),
    inference(superposition,[],[f17,f63]) ).

fof(f63,plain,
    ( sF1 = sF0
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl2_5
  <=> sF1 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f17,plain,
    sF1 != sF0,
    inference(definition_folding,[],[f13,f16,f15,f15]) ).

fof(f15,plain,
    domain(a) = sF0,
    introduced(function_definition,[]) ).

fof(f16,plain,
    codomain(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f13,axiom,
    domain(a) != codomain(domain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).

fof(f64,plain,
    ( spl2_5
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f59,f21,f61]) ).

fof(f21,plain,
    ( spl2_1
  <=> there_exists(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f59,plain,
    ( ~ there_exists(a)
    | sF1 = sF0 ),
    inference(forward_demodulation,[],[f58,f15]) ).

fof(f58,plain,
    ( domain(a) = sF1
    | ~ there_exists(a) ),
    inference(forward_demodulation,[],[f50,f16]) ).

fof(f50,plain,
    ( domain(a) = codomain(sF0)
    | ~ there_exists(a) ),
    inference(superposition,[],[f7,f34]) ).

fof(f34,plain,
    a = compose(a,sF0),
    inference(superposition,[],[f10,f15]) ).

fof(f10,axiom,
    ! [X0] : compose(X0,domain(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_domain) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).

fof(f30,plain,
    spl2_2,
    inference(avatar_contradiction_clause,[],[f29]) ).

fof(f29,plain,
    ( $false
    | spl2_2 ),
    inference(resolution,[],[f27,f18]) ).

fof(f18,plain,
    there_exists(sF0),
    inference(forward_demodulation,[],[f12,f15]) ).

fof(f12,axiom,
    there_exists(domain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_domain_exists) ).

fof(f27,plain,
    ( ~ there_exists(sF0)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl2_2
  <=> there_exists(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f28,plain,
    ( spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f19,f25,f21]) ).

fof(f19,plain,
    ( ~ there_exists(sF0)
    | there_exists(a) ),
    inference(superposition,[],[f4,f15]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ there_exists(domain(X0))
      | there_exists(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CAT012-4 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 16:14:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (12833)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (12835)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (12834)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50  % (12824)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (12833)First to succeed.
% 0.20/0.50  % (12850)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51  % (12834)Also succeeded, but the first one will report.
% 0.20/0.51  % (12833)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (12833)------------------------------
% 0.20/0.51  % (12833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (12833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (12833)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (12833)Memory used [KB]: 5373
% 0.20/0.51  % (12833)Time elapsed: 0.106 s
% 0.20/0.51  % (12833)Instructions burned: 2 (million)
% 0.20/0.51  % (12833)------------------------------
% 0.20/0.51  % (12833)------------------------------
% 0.20/0.51  % (12816)Success in time 0.16 s
%------------------------------------------------------------------------------