%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP561-1 : 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 : n001.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 16:22:52 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% 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 :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   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   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f115,plain,
    $false,
    inference(unit_resulting_resolution,[],[f4,f71]) ).

fof(f71,plain,
    ! [X14,X15] : divide(X15,X15) = divide(X14,X14),
    inference(superposition,[],[f61,f26]) ).

fof(f26,plain,
    ! [X10,X11] : divide(X11,divide(X10,X10)) = X11,
    inference(superposition,[],[f1,f20]) ).

fof(f20,plain,
    ! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
    inference(forward_demodulation,[],[f12,f1]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] : divide(divide(X3,divide(divide(divide(X0,inverse(inverse(X1))),X2),divide(X0,X2))),X3) = X1,
    inference(superposition,[],[f6,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : divide(divide(divide(divide(divide(X0,inverse(X1)),X2),inverse(X3)),divide(X0,X2)),X1) = X3,
    inference(superposition,[],[f1,f1]) ).

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

fof(f61,plain,
    ! [X14,X13] : divide(X13,divide(X13,X14)) = X14,
    inference(forward_demodulation,[],[f55,f39]) ).

fof(f39,plain,
    ! [X10,X9] : divide(divide(X9,X9),inverse(X10)) = X10,
    inference(superposition,[],[f20,f26]) ).

fof(f55,plain,
    ! [X14,X12,X13] : divide(X13,divide(X13,divide(divide(X12,X12),inverse(X14)))) = X14,
    inference(superposition,[],[f5,f39]) ).

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

fof(f4,plain,
    divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

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

fof(f3,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP561-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n001.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
% 0.12/0.34  % DateTime   : Mon Aug 29 22:56:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.47  % (22375)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)
% 0.18/0.48  % (22388)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.18/0.48  % (22380)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.49  % (22375)First to succeed.
% 0.18/0.49  % (22375)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (22375)------------------------------
% 0.18/0.49  % (22375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (22375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (22375)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (22375)Memory used [KB]: 5628
% 0.18/0.49  % (22375)Time elapsed: 0.107 s
% 0.18/0.49  % (22375)Instructions burned: 12 (million)
% 0.18/0.49  % (22375)------------------------------
% 0.18/0.49  % (22375)------------------------------
% 0.18/0.49  % (22373)Success in time 0.149 s
%------------------------------------------------------------------------------