%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP481-1 : 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 : n020.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 16:15:59 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 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   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(subsumption_resolution,[],[f35,f8]) ).

fof(f8,plain,
    identity != double_divide(identity,identity),
    inference(backward_demodulation,[],[f6,f7]) ).

fof(f7,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

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

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

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

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    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(f35,plain,
    identity = double_divide(identity,identity),
    inference(superposition,[],[f21,f7]) ).

fof(f21,plain,
    ! [X0] : double_divide(double_divide(identity,identity),double_divide(X0,identity)) = X0,
    inference(superposition,[],[f11,f7]) ).

fof(f11,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X0,identity))),X0) = X1,
    inference(superposition,[],[f9,f7]) ).

fof(f9,plain,
    ! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,identity),double_divide(X0,identity))),X1) = X2,
    inference(forward_demodulation,[],[f1,f7]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP481-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.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 22:33:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (20500)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.49  % (20493)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.20/0.49  % (20500)First to succeed.
% 0.20/0.50  % (20500)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (20500)------------------------------
% 0.20/0.50  % (20500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (20500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (20500)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (20500)Memory used [KB]: 5500
% 0.20/0.50  % (20500)Time elapsed: 0.080 s
% 0.20/0.50  % (20500)Instructions burned: 4 (million)
% 0.20/0.50  % (20500)------------------------------
% 0.20/0.50  % (20500)------------------------------
% 0.20/0.50  % (20479)Success in time 0.145 s
%------------------------------------------------------------------------------