%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT002-3 : 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 : n027.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 15:50:38 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (  10 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(subsumption_resolution,[],[f137,f124]) ).

fof(f124,plain,
    compose(b,h) != compose(b,g),
    inference(forward_demodulation,[],[f109,f11]) ).

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

fof(f109,plain,
    compose(codomain(compose(b,h)),compose(b,h)) != compose(b,g),
    inference(unit_resulting_resolution,[],[f23,f11,f20]) ).

fof(f20,axiom,
    ! [X2,X0,X1] :
      ( compose(b,X2) != X1
      | compose(b,X0) != X1
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose2) ).

fof(f23,axiom,
    h != g,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).

fof(f137,plain,
    compose(b,h) = compose(b,g),
    inference(unit_resulting_resolution,[],[f25,f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( compose(a,X0) != compose(a,X1)
      | X0 = X1 ),
    inference(equality_resolution,[],[f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( compose(a,X0) != X1
      | compose(a,X2) != X1
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose1) ).

fof(f25,plain,
    compose(a,compose(b,h)) = compose(a,compose(b,g)),
    inference(forward_demodulation,[],[f24,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).

fof(f24,plain,
    compose(compose(a,b),h) = compose(a,compose(b,g)),
    inference(forward_demodulation,[],[f22,f9]) ).

fof(f22,axiom,
    compose(compose(a,b),h) = compose(compose(a,b),g),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : CAT002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.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 16:30:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.50  % (26080)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.50  % (26072)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.51  % (26064)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)
% 0.21/0.51  % (26080)First to succeed.
% 0.21/0.52  % (26080)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (26080)------------------------------
% 0.21/0.52  % (26080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (26080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (26080)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (26080)Memory used [KB]: 5884
% 0.21/0.52  % (26080)Time elapsed: 0.067 s
% 0.21/0.52  % (26080)Instructions burned: 7 (million)
% 0.21/0.52  % (26080)------------------------------
% 0.21/0.52  % (26080)------------------------------
% 0.21/0.52  % (26057)Success in time 0.164 s
%------------------------------------------------------------------------------