%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP012-4 : 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 : n028.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 16:13:42 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 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    :    5 (   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   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f128,plain,
    $false,
    inference(trivial_inequality_removal,[],[f127]) ).

fof(f127,plain,
    multiply(inverse(b),inverse(a)) != multiply(inverse(b),inverse(a)),
    inference(backward_demodulation,[],[f6,f115]) ).

fof(f115,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f21,f100]) ).

fof(f100,plain,
    ! [X2,X1] : inverse(X1) = multiply(X2,inverse(multiply(X1,X2))),
    inference(forward_demodulation,[],[f73,f4]) ).

fof(f4,axiom,
    ! [X0] : multiply(X0,identity) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).

fof(f73,plain,
    ! [X2,X1] : multiply(inverse(X1),identity) = multiply(X2,inverse(multiply(X1,X2))),
    inference(superposition,[],[f21,f17]) ).

fof(f17,plain,
    ! [X6,X5] : identity = multiply(X5,multiply(X6,inverse(multiply(X5,X6)))),
    inference(superposition,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f21,plain,
    ! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = X11,
    inference(forward_demodulation,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f15,plain,
    ! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = multiply(identity,X11),
    inference(superposition,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f6,axiom,
    inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_product_is_product_of_inverses) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12  % 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 : n028.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 22:16:32 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (1415)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)
% 0.19/0.49  % (1410)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)
% 0.19/0.49  % (1410)First to succeed.
% 0.19/0.50  % (1402)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)
% 0.19/0.50  % (1410)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (1410)------------------------------
% 0.19/0.50  % (1410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (1410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (1410)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (1410)Memory used [KB]: 5500
% 0.19/0.50  % (1410)Time elapsed: 0.101 s
% 0.19/0.50  % (1410)Instructions burned: 6 (million)
% 0.19/0.50  % (1410)------------------------------
% 0.19/0.50  % (1410)------------------------------
% 0.19/0.50  % (1395)Success in time 0.158 s
%------------------------------------------------------------------------------