%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP554-1 : 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 : n023.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 16:22:50 EDT 2022

% Result   : Unsatisfiable 0.14s 0.43s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f172,plain,
    $false,
    inference(subsumption_resolution,[],[f161,f66]) ).

fof(f66,plain,
    ! [X3,X4] : divide(divide(X4,X4),inverse(X3)) = X3,
    inference(superposition,[],[f1,f32]) ).

fof(f32,plain,
    ! [X4,X5] : inverse(divide(X4,divide(X5,inverse(X4)))) = X5,
    inference(superposition,[],[f24,f13]) ).

fof(f13,plain,
    ! [X2,X1] : divide(X1,inverse(divide(X2,X1))) = X2,
    inference(superposition,[],[f5,f1]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] : divide(divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),inverse(divide(X3,X1))),X2) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f24,plain,
    ! [X8,X7] : inverse(divide(X8,X7)) = divide(inverse(X8),inverse(X7)),
    inference(superposition,[],[f18,f13]) ).

fof(f18,plain,
    ! [X8,X7] : divide(inverse(divide(X8,X7)),inverse(X8)) = X7,
    inference(superposition,[],[f13,f13]) ).

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

fof(f161,plain,
    ! [X15] : a2 != divide(divide(X15,X15),inverse(a2)),
    inference(superposition,[],[f30,f79]) ).

fof(f79,plain,
    ! [X10,X9] : divide(X9,X9) = inverse(divide(X10,X10)),
    inference(superposition,[],[f32,f66]) ).

fof(f30,plain,
    a2 != divide(inverse(divide(b2,b2)),inverse(a2)),
    inference(backward_demodulation,[],[f4,f24]) ).

fof(f4,plain,
    a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

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

fof(f3,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n023.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Aug 29 22:56:35 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.41  % (13135)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)
% 0.14/0.41  % (13135)First to succeed.
% 0.14/0.42  % (13143)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.14/0.43  % (13135)Refutation found. Thanks to Tanya!
% 0.14/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.43  % (13135)------------------------------
% 0.14/0.43  % (13135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.43  % (13135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.43  % (13135)Termination reason: Refutation
% 0.14/0.43  
% 0.14/0.43  % (13135)Memory used [KB]: 5500
% 0.14/0.43  % (13135)Time elapsed: 0.062 s
% 0.14/0.43  % (13135)Instructions burned: 10 (million)
% 0.14/0.43  % (13135)------------------------------
% 0.14/0.43  % (13135)------------------------------
% 0.14/0.43  % (13118)Success in time 0.124 s
%------------------------------------------------------------------------------