%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP011-4 : 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_sat --cores 0 -t %d %s

% Computer : n003.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 16:18:55 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f191,plain,
    $false,
    inference(trivial_inequality_removal,[],[f190]) ).

fof(f190,plain,
    b != b,
    inference(superposition,[],[f5,f171]) ).

fof(f171,plain,
    b = d,
    inference(superposition,[],[f67,f164]) ).

fof(f164,plain,
    b = multiply(d,identity),
    inference(forward_demodulation,[],[f156,f67]) ).

fof(f156,plain,
    multiply(d,identity) = multiply(b,identity),
    inference(superposition,[],[f13,f59]) ).

fof(f59,plain,
    ! [X1] : identity = multiply(X1,inverse(X1)),
    inference(superposition,[],[f17,f3]) ).

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

fof(f17,plain,
    ! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
    inference(superposition,[],[f12,f12]) ).

fof(f12,plain,
    ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
    inference(forward_demodulation,[],[f7,f2]) ).

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

fof(f7,plain,
    ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
    inference(superposition,[],[f1,f3]) ).

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

fof(f13,plain,
    ! [X4] : multiply(b,multiply(c,X4)) = multiply(d,multiply(c,X4)),
    inference(forward_demodulation,[],[f8,f1]) ).

fof(f8,plain,
    ! [X4] : multiply(multiply(b,c),X4) = multiply(d,multiply(c,X4)),
    inference(superposition,[],[f1,f4]) ).

fof(f4,axiom,
    multiply(b,c) = multiply(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_equality) ).

fof(f67,plain,
    ! [X9] : multiply(X9,identity) = X9,
    inference(superposition,[],[f15,f17]) ).

fof(f15,plain,
    ! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
    inference(superposition,[],[f12,f3]) ).

fof(f5,axiom,
    b != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GRP011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:07:37 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (16430)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52  % (16430)First to succeed.
% 0.20/0.52  % (16422)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52  % (16430)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (16430)------------------------------
% 0.20/0.52  % (16430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (16430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (16430)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (16430)Memory used [KB]: 1023
% 0.20/0.52  % (16430)Time elapsed: 0.107 s
% 0.20/0.52  % (16430)Instructions burned: 8 (million)
% 0.20/0.52  % (16430)------------------------------
% 0.20/0.52  % (16430)------------------------------
% 0.20/0.52  % (16420)Success in time 0.168 s
%------------------------------------------------------------------------------