%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP463-1 : 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 : n006.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 16:22:35 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(subsumption_resolution,[],[f11,f9]) ).

fof(f9,plain,
    identity != sF1,
    inference(definition_folding,[],[f6,f8,f7,f7]) ).

fof(f7,plain,
    sF0 = divide(identity,a1),
    introduced(function_definition,[]) ).

fof(f8,plain,
    divide(sF0,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f6,plain,
    identity != divide(divide(identity,a1),divide(identity,a1)),
    inference(definition_unfolding,[],[f5,f2,f3]) ).

fof(f3,axiom,
    ! [X0] : divide(identity,X0) = inverse(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

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

fof(f5,axiom,
    identity != multiply(inverse(a1),a1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).

fof(f11,plain,
    identity = sF1,
    inference(superposition,[],[f4,f8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP463-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % 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 : n006.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 22:28:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  % (11614)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.21/0.50  % (11597)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.50  % (11600)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.51  % (11601)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.51  % (11601)First to succeed.
% 0.21/0.51  % (11601)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (11601)------------------------------
% 0.21/0.51  % (11601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (11601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (11601)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (11601)Memory used [KB]: 5373
% 0.21/0.51  % (11601)Time elapsed: 0.110 s
% 0.21/0.51  % (11601)Instructions burned: 1 (million)
% 0.21/0.51  % (11601)------------------------------
% 0.21/0.51  % (11601)------------------------------
% 0.21/0.51  % (11585)Success in time 0.157 s
%------------------------------------------------------------------------------