TSTP Solution File: GRP206-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : n017.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 16:14:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f238,plain,
    $false,
    inference(subsumption_resolution,[],[f143,f175]) ).

fof(f175,plain,
    ! [X0,X1] : multiply(X1,multiply(X0,X1)) = multiply(multiply(X1,X0),X1),
    inference(forward_demodulation,[],[f144,f1]) ).

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

fof(f144,plain,
    ! [X0,X1] : multiply(multiply(X1,X0),multiply(identity,X1)) = multiply(X1,multiply(X0,X1)),
    inference(superposition,[],[f9,f2]) ).

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

fof(f9,axiom,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),X0)) = multiply(multiply(X0,X1),multiply(X2,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',moufang4) ).

fof(f143,plain,
    multiply(multiply(a,multiply(b,c)),a) != multiply(a,multiply(multiply(b,c),a)),
    inference(backward_demodulation,[],[f10,f9]) ).

fof(f10,axiom,
    multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_moufang1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.12  % 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 : n017.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 21:44:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.45  % (17510)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/212Mi)
% 0.20/0.46  % (17518)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 0.20/0.47  % (17510)First to succeed.
% 0.20/0.48  % (17510)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  % (17510)------------------------------
% 0.20/0.48  % (17510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (17510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (17510)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (17510)Memory used [KB]: 5628
% 0.20/0.48  % (17510)Time elapsed: 0.074 s
% 0.20/0.48  % (17510)Instructions burned: 10 (million)
% 0.20/0.48  % (17510)------------------------------
% 0.20/0.48  % (17510)------------------------------
% 0.20/0.48  % (17494)Success in time 0.142 s
%------------------------------------------------------------------------------