%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP157-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n012.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 16:14:36 EDT 2022

% Result   : Unsatisfiable 1.75s 0.57s
% Output   : Refutation 1.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   6 unt;   0 def)
%            Number of atoms       :    6 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,plain,
    $false,
    inference(trivial_inequality_removal,[],[f19]) ).

fof(f19,plain,
    multiply(c,b) != multiply(c,b),
    inference(backward_demodulation,[],[f18,f16]) ).

fof(f16,axiom,
    b = least_upper_bound(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_mono2a_1) ).

fof(f18,plain,
    multiply(c,b) != multiply(c,least_upper_bound(a,b)),
    inference(forward_demodulation,[],[f17,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub1) ).

fof(f17,axiom,
    multiply(c,b) != least_upper_bound(multiply(c,a),multiply(c,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_mono2a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP157-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 22:16:36 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 1.54/0.55  % (26491)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.54/0.57  % (26491)Instruction limit reached!
% 1.54/0.57  % (26491)------------------------------
% 1.54/0.57  % (26491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57  % (26510)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.75/0.57  % (26510)First to succeed.
% 1.75/0.57  % (26510)Refutation found. Thanks to Tanya!
% 1.75/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.75/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.57  % (26510)------------------------------
% 1.75/0.57  % (26510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.57  % (26510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.57  % (26510)Termination reason: Refutation
% 1.75/0.57  
% 1.75/0.57  % (26510)Memory used [KB]: 5500
% 1.75/0.57  % (26510)Time elapsed: 0.004 s
% 1.75/0.57  % (26510)------------------------------
% 1.75/0.57  % (26510)------------------------------
% 1.75/0.57  % (26484)Success in time 0.223 s
%------------------------------------------------------------------------------