%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT005-4 : 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_uns --cores 0 -t %d %s

% Computer : n026.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 1.91s 0.61s
% Output   : Refutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   43 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   36 (  18   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f330,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f300,f329]) ).

fof(f329,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f328]) ).

fof(f328,plain,
    ( $false
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f325]) ).

fof(f325,plain,
    ( d != d
    | ~ spl0_2 ),
    inference(superposition,[],[f15,f308]) ).

fof(f308,plain,
    ( d = domain(a)
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f245,f28]) ).

fof(f28,plain,
    ( d = codomain(d)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl0_2
  <=> d = codomain(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f245,plain,
    domain(a) = codomain(d),
    inference(resolution,[],[f7,f12]) ).

fof(f12,axiom,
    there_exists(compose(a,d)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ad_exists) ).

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(f15,axiom,
    d != domain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).

fof(f300,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f294]) ).

fof(f294,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f282,f12]) ).

fof(f282,plain,
    ( ! [X0] : ~ there_exists(compose(a,X0))
    | spl0_1 ),
    inference(resolution,[],[f253,f6]) ).

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

fof(f253,plain,
    ( ~ there_exists(domain(a))
    | spl0_1 ),
    inference(backward_demodulation,[],[f41,f245]) ).

fof(f41,plain,
    ( ~ there_exists(codomain(d))
    | spl0_1 ),
    inference(resolution,[],[f24,f5]) ).

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

fof(f24,plain,
    ( ~ there_exists(d)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_1
  <=> there_exists(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f31,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f30,f22,f26]) ).

fof(f30,plain,
    ( ~ there_exists(d)
    | d = codomain(d) ),
    inference(forward_demodulation,[],[f20,f11]) ).

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

fof(f20,plain,
    ( d = codomain(d)
    | ~ there_exists(compose(codomain(d),d)) ),
    inference(superposition,[],[f11,f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( compose(X0,d) = X0
      | ~ there_exists(compose(X0,d)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xd_equals_x) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CAT005-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % 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 : n026.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 16:31:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.57  % (28233)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.59  % (28237)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59  % (28249)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.59  % (28233)First to succeed.
% 0.21/0.60  % (28241)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.60  % (28241)Instruction limit reached!
% 0.21/0.60  % (28241)------------------------------
% 0.21/0.60  % (28241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (28245)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.60  % (28234)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)
% 0.21/0.60  % (28241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (28241)Termination reason: Unknown
% 0.21/0.60  % (28241)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (28241)Memory used [KB]: 5884
% 0.21/0.60  % (28241)Time elapsed: 0.164 s
% 0.21/0.60  % (28241)Instructions burned: 3 (million)
% 0.21/0.60  % (28241)------------------------------
% 0.21/0.60  % (28241)------------------------------
% 1.91/0.61  % (28233)Refutation found. Thanks to Tanya!
% 1.91/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.91/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.61  % (28233)------------------------------
% 1.91/0.61  % (28233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61  % (28233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61  % (28233)Termination reason: Refutation
% 1.91/0.61  
% 1.91/0.61  % (28233)Memory used [KB]: 6012
% 1.91/0.61  % (28233)Time elapsed: 0.150 s
% 1.91/0.61  % (28233)Instructions burned: 10 (million)
% 1.91/0.61  % (28233)------------------------------
% 1.91/0.61  % (28233)------------------------------
% 1.91/0.61  % (28227)Success in time 0.247 s
%------------------------------------------------------------------------------