%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP530-1 : 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 : n025.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 16:22:47 EDT 2022

% Result   : Unsatisfiable 0.21s 0.48s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,plain,
    $false,
    inference(subsumption_resolution,[],[f52,f8]) ).

fof(f8,plain,
    a2 != sF2,
    inference(definition_folding,[],[f4,f7,f6,f5]) ).

fof(f5,plain,
    inverse(b2) = sF0,
    introduced(function_definition,[]) ).

fof(f6,plain,
    multiply(sF0,b2) = sF1,
    introduced(function_definition,[]) ).

fof(f7,plain,
    multiply(sF1,a2) = sF2,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

fof(f52,plain,
    a2 = sF2,
    inference(backward_demodulation,[],[f7,f50]) ).

fof(f50,plain,
    ! [X1] : multiply(sF1,X1) = X1,
    inference(backward_demodulation,[],[f33,f47]) ).

fof(f47,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f24,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

fof(f24,plain,
    ! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
    inference(superposition,[],[f3,f1]) ).

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

fof(f33,plain,
    ! [X1] : inverse(inverse(X1)) = multiply(sF1,X1),
    inference(superposition,[],[f30,f9]) ).

fof(f9,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f30,plain,
    ! [X0] : inverse(X0) = divide(sF1,X0),
    inference(superposition,[],[f3,f29]) ).

fof(f29,plain,
    divide(sF0,sF0) = sF1,
    inference(superposition,[],[f6,f11]) ).

fof(f11,plain,
    ! [X0] : divide(X0,sF0) = multiply(X0,b2),
    inference(superposition,[],[f9,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP530-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % 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 : n025.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 22:41:14 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.46  % (4723)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.21/0.47  % (4714)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.21/0.47  % (4714)First to succeed.
% 0.21/0.48  % (4714)Refutation found. Thanks to Tanya!
% 0.21/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48  % (4714)------------------------------
% 0.21/0.48  % (4714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48  % (4714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48  % (4714)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (4714)Memory used [KB]: 895
% 0.21/0.48  % (4714)Time elapsed: 0.065 s
% 0.21/0.48  % (4714)Instructions burned: 4 (million)
% 0.21/0.48  % (4714)------------------------------
% 0.21/0.48  % (4714)------------------------------
% 0.21/0.48  % (4697)Success in time 0.127 s
%------------------------------------------------------------------------------