%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL061-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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 : 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 15:52:38 EDT 2022

% Result   : Unsatisfiable 1.60s 0.56s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(trivial_inequality_removal,[],[f21]) ).

fof(f21,plain,
    apply(x,apply(z,y)) != apply(x,apply(z,y)),
    inference(forward_demodulation,[],[f20,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).

fof(f20,plain,
    apply(x,apply(z,y)) != apply(x,apply(apply(t,y),z)),
    inference(backward_demodulation,[],[f8,f18]) ).

fof(f18,plain,
    ! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(t,X2),apply(apply(b,X0),X1)),
    inference(superposition,[],[f1,f2]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

fof(f8,plain,
    apply(x,apply(z,y)) != apply(apply(t,z),apply(apply(b,x),apply(t,y))),
    inference(forward_demodulation,[],[f7,f1]) ).

fof(f7,plain,
    apply(x,apply(z,y)) != apply(apply(t,z),apply(apply(apply(b,apply(b,x)),t),y)),
    inference(forward_demodulation,[],[f6,f2]) ).

fof(f6,plain,
    apply(x,apply(z,y)) != apply(apply(apply(apply(b,apply(b,x)),t),y),z),
    inference(backward_demodulation,[],[f5,f2]) ).

fof(f5,plain,
    apply(x,apply(z,y)) != apply(apply(apply(apply(t,t),apply(b,apply(b,x))),y),z),
    inference(forward_demodulation,[],[f4,f1]) ).

fof(f4,plain,
    apply(x,apply(z,y)) != apply(apply(apply(apply(t,t),apply(apply(apply(b,b),b),x)),y),z),
    inference(backward_demodulation,[],[f3,f1]) ).

fof(f3,axiom,
    apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,b),b)),x),y),z) != apply(x,apply(z,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q1_combinator) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : COL061-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.04/0.13  % 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 : 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 17:00:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  % (18573)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55  % (18565)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.60/0.55  % (18573)First to succeed.
% 1.60/0.55  % (18557)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.60/0.56  % (18557)Also succeeded, but the first one will report.
% 1.60/0.56  % (18573)Refutation found. Thanks to Tanya!
% 1.60/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.60/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.56  % (18573)------------------------------
% 1.60/0.56  % (18573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (18573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (18573)Termination reason: Refutation
% 1.60/0.56  
% 1.60/0.56  % (18573)Memory used [KB]: 5373
% 1.60/0.56  % (18573)Time elapsed: 0.074 s
% 1.60/0.56  % (18573)Instructions burned: 2 (million)
% 1.60/0.56  % (18573)------------------------------
% 1.60/0.56  % (18573)------------------------------
% 1.60/0.56  % (18549)Success in time 0.208 s
%------------------------------------------------------------------------------