%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP001-4 : 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_uns --cores 0 -t %d %s

% Computer : n023.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 16:13:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 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   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f108,plain,
    $false,
    inference(subsumption_resolution,[],[f105,f5]) ).

fof(f5,axiom,
    c != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).

fof(f105,plain,
    c = multiply(b,a),
    inference(superposition,[],[f12,f102]) ).

fof(f102,plain,
    a = multiply(b,c),
    inference(forward_demodulation,[],[f98,f15]) ).

fof(f15,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f12,f3]) ).

fof(f3,axiom,
    ! [X0] : identity = multiply(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',squareness) ).

fof(f98,plain,
    multiply(b,c) = multiply(a,identity),
    inference(superposition,[],[f12,f52]) ).

fof(f52,plain,
    identity = multiply(a,multiply(b,c)),
    inference(superposition,[],[f11,f4]) ).

fof(f4,axiom,
    multiply(a,b) = c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).

fof(f11,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(X0,X1))),
    inference(superposition,[],[f3,f1]) ).

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

fof(f12,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f6,f2]) ).

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

fof(f6,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f1,f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:27:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (7006)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.52  % (6998)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.53  % (6995)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (6987)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (6998)First to succeed.
% 0.20/0.53  % (6995)Also succeeded, but the first one will report.
% 0.20/0.53  % (6998)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (6998)------------------------------
% 0.20/0.53  % (6998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6998)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (6998)Memory used [KB]: 5500
% 0.20/0.53  % (6998)Time elapsed: 0.065 s
% 0.20/0.53  % (6998)Instructions burned: 6 (million)
% 0.20/0.53  % (6998)------------------------------
% 0.20/0.53  % (6998)------------------------------
% 0.20/0.53  % (6983)Success in time 0.18 s
%------------------------------------------------------------------------------