%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL062-3 : 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_uns --cores 0 -t %d %s

% Computer : n004.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 15:51:54 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   11 (   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(f27,plain,
    $false,
    inference(subsumption_resolution,[],[f26,f2]) ).

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

fof(f26,plain,
    apply(apply(x,z),y) != apply(apply(t,y),apply(x,z)),
    inference(forward_demodulation,[],[f25,f19]) ).

fof(f19,plain,
    ! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(t,X1),apply(b,X0)),X2),
    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(f25,plain,
    apply(apply(x,z),y) != apply(apply(apply(t,x),apply(b,apply(t,y))),z),
    inference(forward_demodulation,[],[f23,f19]) ).

fof(f23,plain,
    apply(apply(x,z),y) != apply(apply(apply(t,x),apply(apply(apply(t,t),apply(b,b)),y)),z),
    inference(backward_demodulation,[],[f6,f19]) ).

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : COL062-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 16:42:20 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (3096)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.49  % (3091)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.49  % (3096)First to succeed.
% 0.20/0.49  % (3096)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (3096)------------------------------
% 0.20/0.49  % (3096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (3096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (3096)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (3096)Memory used [KB]: 5500
% 0.20/0.49  % (3096)Time elapsed: 0.098 s
% 0.20/0.49  % (3096)Instructions burned: 2 (million)
% 0.20/0.49  % (3096)------------------------------
% 0.20/0.49  % (3096)------------------------------
% 0.20/0.49  % (3090)Success in time 0.144 s
%------------------------------------------------------------------------------