%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW417-1 : TPTP v8.1.0. Released v5.2.0.
% 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 : n001.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 19:06:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   20 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   6   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60,plain,
    $false,
    inference(subsumption_resolution,[],[f57,f45]) ).

fof(f45,plain,
    ~ heap(sep(next(x1,x2),sep(lseg(x2,nil),emp))),
    inference(unit_resulting_resolution,[],[f15,f23,f18]) ).

fof(f18,plain,
    ! [X2,X3,X4,X5] :
      ( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
      | sQ0_eqProxy(X3,X4)
      | heap(sep(lseg(X3,X5),X2)) ),
    inference(equality_proxy_replacement,[],[f8,f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f8,axiom,
    ! [X2,X3,X4,X5] :
      ( X3 = X4
      | heap(sep(lseg(X3,X5),X2))
      | ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_2) ).

fof(f23,plain,
    ~ sQ0_eqProxy(x1,x2),
    inference(equality_proxy_replacement,[],[f13,f16]) ).

fof(f13,axiom,
    x1 != x2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).

fof(f15,axiom,
    ~ heap(sep(lseg(x1,nil),emp)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).

fof(f57,plain,
    heap(sep(next(x1,x2),sep(lseg(x2,nil),emp))),
    inference(unit_resulting_resolution,[],[f24,f14,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ sQ0_eqProxy(X0,X1)
      | ~ heap(X0)
      | heap(X1) ),
    inference(equality_proxy_axiom,[],[f16]) ).

fof(f14,axiom,
    heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).

fof(f24,plain,
    ! [X2,X0,X1] : sQ0_eqProxy(sep(X0,sep(X1,X2)),sep(X1,sep(X0,X2))),
    inference(equality_proxy_replacement,[],[f1,f16]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW417-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 20:56:47 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.46  % (10771)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.47  % (10771)First to succeed.
% 0.20/0.48  % (10771)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (10771)------------------------------
% 0.20/0.48  % (10771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (10771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (10771)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (10771)Memory used [KB]: 5884
% 0.20/0.48  % (10771)Time elapsed: 0.095 s
% 0.20/0.48  % (10771)Instructions burned: 2 (million)
% 0.20/0.48  % (10771)------------------------------
% 0.20/0.48  % (10771)------------------------------
% 0.20/0.48  % (10768)Success in time 0.14 s
%------------------------------------------------------------------------------