%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n014.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 16:15:54 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   40 (   8 unt;   0 def)
%            Number of atoms       :   97 (  30 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  109 (  52   ~;  50   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   8 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f104,plain,
    $false,
    inference(avatar_sat_refutation,[],[f10,f15,f20,f29,f33,f48,f79,f103]) ).

fof(f103,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f102]) ).

fof(f102,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f96]) ).

fof(f96,plain,
    ( a2 != a2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f14,f88]) ).

fof(f88,plain,
    ( ! [X5] : divide(identity,divide(identity,X5)) = X5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f87,f78]) ).

fof(f78,plain,
    ( ! [X0] : divide(X0,identity) = X0
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f77,plain,
    ( spl0_9
  <=> ! [X0] : divide(X0,identity) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f87,plain,
    ( ! [X5] : divide(identity,divide(identity,divide(X5,identity))) = X5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f85,f9]) ).

fof(f9,plain,
    ( ! [X0] : identity = divide(X0,X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f8]) ).

fof(f8,plain,
    ( spl0_1
  <=> ! [X0] : identity = divide(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f85,plain,
    ( ! [X5] : divide(identity,divide(identity,divide(X5,divide(identity,identity)))) = X5
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(superposition,[],[f28,f78]) ).

fof(f28,plain,
    ( ! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_4
  <=> ! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f14,plain,
    ( a2 != divide(identity,divide(identity,a2))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
    ( spl0_2
  <=> a2 = divide(identity,divide(identity,a2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f79,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f70,f46,f31,f8,f77]) ).

fof(f31,plain,
    ( spl0_5
  <=> ! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f46,plain,
    ( spl0_7
  <=> ! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f70,plain,
    ( ! [X0] : divide(X0,identity) = X0
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(backward_demodulation,[],[f47,f69]) ).

fof(f69,plain,
    ( ! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f61,f9]) ).

fof(f61,plain,
    ( ! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f32,f9]) ).

fof(f32,plain,
    ( ! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f47,plain,
    ( ! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f48,plain,
    ( spl0_7
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f38,f27,f8,f46]) ).

fof(f38,plain,
    ( ! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f28,f9]) ).

fof(f33,plain,
    ( spl0_5
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f23,f18,f8,f31]) ).

fof(f18,plain,
    ( spl0_3
  <=> ! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f23,plain,
    ( ! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f19,f9]) ).

fof(f19,plain,
    ( ! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f29,plain,
    ( spl0_4
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f21,f18,f8,f27]) ).

fof(f21,plain,
    ( ! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f19,f9]) ).

fof(f20,plain,
    ( spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f16,f8,f18]) ).

fof(f16,plain,
    ( ! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1,f9]) ).

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(f15,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f6,f12]) ).

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) ).

fof(f10,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f4,f8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % 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_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.20/0.34  % DateTime   : Mon Aug 29 22:30:33 EDT 2022
% 0.20/0.34  % CPUTime    : 
% 0.20/0.48  % (30216)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/292Mi)
% 0.20/0.49  % (30216)First to succeed.
% 0.20/0.49  % (30216)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  % (30216)------------------------------
% 0.20/0.49  % (30216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (30216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (30216)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (30216)Memory used [KB]: 5500
% 0.20/0.49  % (30216)Time elapsed: 0.070 s
% 0.20/0.49  % (30216)Instructions burned: 4 (million)
% 0.20/0.49  % (30216)------------------------------
% 0.20/0.49  % (30216)------------------------------
% 0.20/0.49  % (30203)Success in time 0.138 s
%------------------------------------------------------------------------------