%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : 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 16:16:29 EDT 2022

% Result   : Unsatisfiable 1.71s 0.57s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f125,plain,
    $false,
    inference(unit_resulting_resolution,[],[f50,f90]) ).

fof(f90,plain,
    ! [X2] : inverse(inverse(X2)) = X2,
    inference(superposition,[],[f65,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

fof(f65,plain,
    ! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
    inference(superposition,[],[f1,f3]) ).

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

fof(f50,plain,
    a2 != inverse(inverse(a2)),
    inference(superposition,[],[f5,f18]) ).

fof(f18,plain,
    ! [X2,X3] : inverse(inverse(X3)) = multiply(multiply(inverse(X2),X2),X3),
    inference(superposition,[],[f8,f6]) ).

fof(f6,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f8,plain,
    ! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
    inference(superposition,[],[f6,f3]) ).

fof(f5,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % 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 : 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 22:47:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (25737)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.19/0.55  % (25728)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.55  % (25737)First to succeed.
% 1.54/0.57  % (25751)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 1.71/0.57  % (25737)Refutation found. Thanks to Tanya!
% 1.71/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.71/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.57  % (25737)------------------------------
% 1.71/0.57  % (25737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57  % (25737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57  % (25737)Termination reason: Refutation
% 1.71/0.57  
% 1.71/0.57  % (25737)Memory used [KB]: 5500
% 1.71/0.57  % (25737)Time elapsed: 0.132 s
% 1.71/0.57  % (25737)Instructions burned: 8 (million)
% 1.71/0.57  % (25737)------------------------------
% 1.71/0.57  % (25737)------------------------------
% 1.71/0.57  % (25722)Success in time 0.22 s
%------------------------------------------------------------------------------