%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL016-1 : 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 : n016.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 15:51:41 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f6]) ).

fof(f6,plain,
    ! [X1] : sF0(X1) != X1,
    inference(definition_folding,[],[f4,f5]) ).

fof(f5,plain,
    ! [X1] : apply(combinator,X1) = sF0(X1),
    introduced(function_definition,[]) ).

fof(f4,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

fof(f17,plain,
    apply(m,apply(l,combinator)) = sF0(apply(m,apply(l,combinator))),
    inference(superposition,[],[f13,f3]) ).

fof(f3,axiom,
    ! [X0] : apply(m,X0) = apply(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).

fof(f13,plain,
    ! [X2] : apply(apply(l,combinator),X2) = sF0(apply(X2,X2)),
    inference(superposition,[],[f2,f5]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_definition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : COL016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 17:02:29 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.48  % (18917)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.18/0.49  % (18938)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49  % (18920)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.49  % (18917)First to succeed.
% 0.18/0.50  % (18929)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)
% 0.18/0.50  % (18917)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (18917)------------------------------
% 0.18/0.50  % (18917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (18917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (18917)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (18917)Memory used [KB]: 5373
% 0.18/0.50  % (18917)Time elapsed: 0.095 s
% 0.18/0.50  % (18917)Instructions burned: 2 (million)
% 0.18/0.50  % (18917)------------------------------
% 0.18/0.50  % (18917)------------------------------
% 0.18/0.50  % (18913)Success in time 0.156 s
%------------------------------------------------------------------------------