%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP022-2 : 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 : n014.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 16:13:44 EDT 2022

% Result   : Unsatisfiable 0.17s 0.44s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% 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 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,plain,
    $false,
    inference(trivial_inequality_removal,[],[f41]) ).

fof(f41,plain,
    a != a,
    inference(backward_demodulation,[],[f6,f39]) ).

fof(f39,plain,
    ! [X4] : inverse(inverse(X4)) = X4,
    inference(forward_demodulation,[],[f30,f4]) ).

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

fof(f30,plain,
    ! [X4] : multiply(X4,identity) = inverse(inverse(X4)),
    inference(superposition,[],[f22,f5]) ).

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

fof(f22,plain,
    ! [X10,X11] : multiply(X10,multiply(inverse(X10),X11)) = X11,
    inference(forward_demodulation,[],[f17,f1]) ).

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

fof(f17,plain,
    ! [X10,X11] : multiply(X10,multiply(inverse(X10),X11)) = multiply(identity,X11),
    inference(superposition,[],[f3,f5]) ).

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

fof(f6,axiom,
    a != inverse(inverse(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_inverse_is_original) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 22:08:48 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  % (15244)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/248Mi)
% 0.17/0.43  % (15244)First to succeed.
% 0.17/0.44  % (15236)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 (3000ds/48Mi)
% 0.17/0.44  % (15244)Refutation found. Thanks to Tanya!
% 0.17/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.44  % (15244)------------------------------
% 0.17/0.44  % (15244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.44  % (15244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.44  % (15244)Termination reason: Refutation
% 0.17/0.44  
% 0.17/0.44  % (15244)Memory used [KB]: 1023
% 0.17/0.44  % (15244)Time elapsed: 0.050 s
% 0.17/0.44  % (15244)Instructions burned: 2 (million)
% 0.17/0.44  % (15244)------------------------------
% 0.17/0.44  % (15244)------------------------------
% 0.17/0.44  % (15218)Success in time 0.108 s
%------------------------------------------------------------------------------