%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n002.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 16:05:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f163,plain,
    $false,
    inference(subsumption_resolution,[],[f152,f96]) ).

fof(f96,plain,
    ~ equalish(multiply(d,b),multiply(a,b)),
    inference(unit_resulting_resolution,[],[f32,f34,f23]) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( equalish(X0,X2)
      | ~ equalish(X0,X1)
      | ~ equalish(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).

fof(f34,axiom,
    ~ equalish(multiply(d,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_c_7) ).

fof(f32,axiom,
    equalish(multiply(a,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_c_5) ).

fof(f152,plain,
    equalish(multiply(d,b),multiply(a,b)),
    inference(unit_resulting_resolution,[],[f41,f29,f25]) ).

fof(f25,axiom,
    ! [X2,X0,X1] :
      ( equalish(multiply(X0,X2),multiply(X1,X2))
      | ~ defined(X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).

fof(f29,axiom,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

fof(f41,plain,
    equalish(d,a),
    inference(unit_resulting_resolution,[],[f33,f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ equalish(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).

fof(f33,axiom,
    equalish(a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_d_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % 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 : n002.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 20:48:58 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.46  % (1500)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.47  % (1491)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.48  % (1500)First to succeed.
% 0.20/0.48  % (1494)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.49  % (1500)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (1500)------------------------------
% 0.20/0.49  % (1500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (1500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (1500)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (1500)Memory used [KB]: 6012
% 0.20/0.49  % (1500)Time elapsed: 0.090 s
% 0.20/0.49  % (1500)Instructions burned: 5 (million)
% 0.20/0.49  % (1500)------------------------------
% 0.20/0.49  % (1500)------------------------------
% 0.20/0.49  % (1487)Success in time 0.144 s
%------------------------------------------------------------------------------