%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP562-1 : 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 : n018.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 16:16:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   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   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(trivial_inequality_removal,[],[f73]) ).

fof(f73,plain,
    a2 != a2,
    inference(superposition,[],[f4,f58]) ).

fof(f58,plain,
    ! [X14,X15] : divide(divide(X14,X14),inverse(X15)) = X15,
    inference(superposition,[],[f45,f28]) ).

fof(f28,plain,
    ! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
    inference(superposition,[],[f12,f1]) ).

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

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(f45,plain,
    ! [X14,X15] : divide(X15,divide(X14,X14)) = X15,
    inference(superposition,[],[f1,f28]) ).

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

fof(f2,axiom,
    ! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,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
% 0.10/0.13  % Problem    : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:39:39 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (23006)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.20/0.50  % (22997)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.20/0.50  % (23007)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.20/0.51  % (22988)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51  % (22998)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  % (22989)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (23006)First to succeed.
% 0.20/0.51  % (22986)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.51  % (22997)Also succeeded, but the first one will report.
% 0.20/0.51  % (23006)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (23006)------------------------------
% 0.20/0.51  % (23006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23006)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (23006)Memory used [KB]: 5500
% 0.20/0.51  % (23006)Time elapsed: 0.051 s
% 0.20/0.51  % (23006)Instructions burned: 6 (million)
% 0.20/0.51  % (23006)------------------------------
% 0.20/0.51  % (23006)------------------------------
% 0.20/0.51  % (22978)Success in time 0.157 s
%------------------------------------------------------------------------------