%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN083+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n026.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 19:25:30 EDT 2022

% Result   : Theorem 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (  15 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (  11   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (  24   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(trivial_inequality_removal,[],[f16]) ).

fof(f16,plain,
    f(sK1,f(sK0,f(sK2,sK3))) != f(sK1,f(sK0,f(sK2,sK3))),
    inference(forward_demodulation,[],[f15,f12]) ).

fof(f12,plain,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ! [X1,X0,X2] : f(X1,f(X0,X2)) = f(f(X1,X0),X2),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p61_1) ).

fof(f15,plain,
    f(sK1,f(sK0,f(sK2,sK3))) != f(sK1,f(f(sK0,sK2),sK3)),
    inference(superposition,[],[f13,f12]) ).

fof(f13,plain,
    f(f(sK1,f(sK0,sK2)),sK3) != f(sK1,f(sK0,f(sK2,sK3))),
    inference(backward_demodulation,[],[f11,f12]) ).

fof(f11,plain,
    f(sK1,f(sK0,f(sK2,sK3))) != f(f(f(sK1,sK0),sK2),sK3),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    f(sK1,f(sK0,f(sK2,sK3))) != f(f(f(sK1,sK0),sK2),sK3),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f7,f8]) ).

fof(f8,plain,
    ( ? [X0,X1,X2,X3] : f(X1,f(X0,f(X2,X3))) != f(f(f(X1,X0),X2),X3)
   => f(sK1,f(sK0,f(sK2,sK3))) != f(f(f(sK1,sK0),sK2),sK3) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ? [X0,X1,X2,X3] : f(X1,f(X0,f(X2,X3))) != f(f(f(X1,X0),X2),X3),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ? [X2,X0,X1,X3] : f(f(f(X0,X2),X1),X3) != f(X0,f(X2,f(X1,X3))),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ~ ! [X2,X3,X1,X0] : f(f(f(X0,X2),X1),X3) = f(X0,f(X2,f(X1,X3))),
    inference(rectify,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ! [X0,X2,X1,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ! [X0,X2,X1,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel61) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN083+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.13/0.34  % Computer : n026.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   : Tue Aug 30 21:43:36 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.56  % (6437)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.56  % (6451)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (6443)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.57  % (6437)First to succeed.
% 0.20/0.58  % (6437)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Theorem for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (6437)------------------------------
% 0.20/0.58  % (6437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (6437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (6437)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (6437)Memory used [KB]: 5884
% 0.20/0.58  % (6437)Time elapsed: 0.145 s
% 0.20/0.58  % (6437)Instructions burned: 1 (million)
% 0.20/0.58  % (6437)------------------------------
% 0.20/0.58  % (6437)------------------------------
% 0.20/0.58  % (6432)Success in time 0.225 s
%------------------------------------------------------------------------------