%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP455-1 : 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 : n003.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 16:22:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 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    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f102,plain,
    $false,
    inference(trivial_inequality_removal,[],[f101]) ).

fof(f101,plain,
    a2 != a2,
    inference(superposition,[],[f6,f49]) ).

fof(f49,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(backward_demodulation,[],[f42,f46]) ).

fof(f46,plain,
    ! [X0] : divide(X0,identity) = X0,
    inference(backward_demodulation,[],[f13,f42]) ).

fof(f13,plain,
    ! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0,
    inference(superposition,[],[f8,f4]) ).

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

fof(f8,plain,
    ! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
    inference(superposition,[],[f7,f4]) ).

fof(f7,plain,
    ! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
    inference(forward_demodulation,[],[f1,f4]) ).

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

fof(f42,plain,
    ! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
    inference(forward_demodulation,[],[f34,f4]) ).

fof(f34,plain,
    ! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
    inference(superposition,[],[f10,f4]) ).

fof(f10,plain,
    ! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5,
    inference(superposition,[],[f7,f4]) ).

fof(f6,plain,
    a2 != divide(identity,divide(identity,a2)),
    inference(definition_unfolding,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP455-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.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 22:30:07 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (30929)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)
% 0.20/0.50  % (30944)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.50  % (30939)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51  % (30929)First to succeed.
% 0.20/0.51  % (30929)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (30929)------------------------------
% 0.20/0.51  % (30929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (30929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (30929)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (30929)Memory used [KB]: 5500
% 0.20/0.51  % (30929)Time elapsed: 0.107 s
% 0.20/0.51  % (30929)Instructions burned: 7 (million)
% 0.20/0.51  % (30929)------------------------------
% 0.20/0.51  % (30929)------------------------------
% 0.20/0.51  % (30927)Success in time 0.157 s
%------------------------------------------------------------------------------