%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n029.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 16:22:48 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 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;   3 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f107,plain,
    $false,
    inference(unit_resulting_resolution,[],[f15,f98]) ).

fof(f98,plain,
    ! [X1] : multiply(identity,X1) = X1,
    inference(backward_demodulation,[],[f14,f91]) ).

fof(f91,plain,
    ! [X2] : inverse(inverse(X2)) = X2,
    inference(superposition,[],[f50,f7]) ).

fof(f7,plain,
    ! [X0] : inverse(X0) = divide(identity,X0),
    inference(backward_demodulation,[],[f3,f4]) ).

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

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

fof(f50,plain,
    ! [X0] : divide(identity,inverse(X0)) = X0,
    inference(superposition,[],[f34,f4]) ).

fof(f34,plain,
    ! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f26,f7]) ).

fof(f26,plain,
    ! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
    inference(superposition,[],[f1,f4]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f14,plain,
    ! [X1] : multiply(identity,X1) = inverse(inverse(X1)),
    inference(superposition,[],[f7,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/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f15,plain,
    a2 != multiply(identity,a2),
    inference(backward_demodulation,[],[f5,f11]) ).

fof(f11,plain,
    ! [X2] : identity = multiply(inverse(X2),X2),
    inference(superposition,[],[f6,f4]) ).

fof(f5,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 29 22:42:26 EDT 2022
% 0.21/0.36  % CPUTime    : 
% 0.21/0.48  % (11538)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)
% 0.21/0.50  % (11546)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)
% 0.21/0.50  % (11538)First to succeed.
% 0.21/0.50  % (11538)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (11538)------------------------------
% 0.21/0.50  % (11538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (11538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (11538)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (11538)Memory used [KB]: 5500
% 0.21/0.50  % (11538)Time elapsed: 0.091 s
% 0.21/0.50  % (11538)Instructions burned: 6 (million)
% 0.21/0.50  % (11538)------------------------------
% 0.21/0.50  % (11538)------------------------------
% 0.21/0.50  % (11534)Success in time 0.137 s
%------------------------------------------------------------------------------