%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD034-1 : 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_sat --cores 0 -t %d %s

% Computer : n026.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 16:06:45 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   28 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  17   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f216,plain,
    $false,
    inference(subsumption_resolution,[],[f215,f30]) ).

fof(f30,axiom,
    equalish(m,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_equals_multiplicative_identity_3) ).

fof(f215,plain,
    ~ equalish(m,multiplicative_identity),
    inference(subsumption_resolution,[],[f214,f28]) ).

fof(f28,axiom,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

fof(f214,plain,
    ( ~ defined(a)
    | ~ equalish(m,multiplicative_identity) ),
    inference(subsumption_resolution,[],[f209,f33]) ).

fof(f33,plain,
    ~ equalish(sF0,a),
    inference(definition_folding,[],[f31,f32]) ).

fof(f32,plain,
    multiply(m,a) = sF0,
    introduced(function_definition,[]) ).

fof(f31,axiom,
    ~ equalish(multiply(m,a),a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_not_equal_to_a_4) ).

fof(f209,plain,
    ( equalish(sF0,a)
    | ~ equalish(m,multiplicative_identity)
    | ~ defined(a) ),
    inference(resolution,[],[f52,f109]) ).

fof(f109,plain,
    ! [X0] :
      ( equalish(sF0,multiply(X0,a))
      | ~ equalish(m,X0) ),
    inference(subsumption_resolution,[],[f106,f28]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ defined(a)
      | equalish(sF0,multiply(X0,a))
      | ~ equalish(m,X0) ),
    inference(superposition,[],[f25,f32]) ).

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

fof(f52,plain,
    ! [X12,X13] :
      ( ~ equalish(X12,multiply(multiplicative_identity,X13))
      | equalish(X12,X13)
      | ~ defined(X13) ),
    inference(resolution,[],[f23,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( equalish(multiply(multiplicative_identity,X0),X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : FLD034-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:51:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  % (29293)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (29308)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51  % (29300)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51  % (29294)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (29308)First to succeed.
% 0.21/0.52  % (29308)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (29308)------------------------------
% 0.21/0.52  % (29308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (29308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (29308)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (29308)Memory used [KB]: 5500
% 0.21/0.52  % (29308)Time elapsed: 0.126 s
% 0.21/0.52  % (29308)Instructions burned: 8 (million)
% 0.21/0.52  % (29308)------------------------------
% 0.21/0.52  % (29308)------------------------------
% 0.21/0.52  % (29289)Success in time 0.165 s
%------------------------------------------------------------------------------