%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM876_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n004.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 18:02:45 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  10 unt;   2 typ;   0 def)
%            Number of atoms       :   14 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   8   ~;   0   |;   0   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :   40 (   0 atm;  20 fun;  11 num;   9 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   1 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   7   !;   2   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_5,type,
    sK0: $int ).

tff(pred_def_2,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(f33,plain,
    $false,
    inference(subsumption_resolution,[],[f24,f26]) ).

tff(f26,plain,
    ! [X0: $int] : sQ1_eqProxy(0,$sum(X0,$uminus(X0))),
    inference(equality_proxy_replacement,[],[f8,f20]) ).

tff(f20,plain,
    ! [X0: $int,X1: $int] :
      ( sQ1_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).

tff(f8,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f24,plain,
    ~ sQ1_eqProxy(0,$sum(sK0,$uminus(sK0))),
    inference(equality_proxy_replacement,[],[f19,f20]) ).

tff(f19,plain,
    0 != $sum(sK0,$uminus(sK0)),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    0 != $sum(sK0,$uminus(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).

tff(f17,plain,
    ( ? [X0: $int] : ( 0 != $sum(X0,$uminus(X0)) )
   => ( 0 != $sum(sK0,$uminus(sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ? [X0: $int] : ( 0 != $sum(X0,$uminus(X0)) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] : ( $difference(X0,X0) = 0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] : ( $difference(X0,X0) = 0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_minus_x_equals_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM876=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.14  % 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 : n004.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   : Tue Aug 30 09:05:19 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (22399)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.20/0.51  % (22397)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.20/0.51  % (22405)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/26Mi)
% 0.20/0.51  % (22398)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.20/0.51  % (22405)First to succeed.
% 0.20/0.51  % (22422)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/42Mi)
% 0.20/0.51  % (22405)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (22405)------------------------------
% 0.20/0.51  % (22405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (22405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (22405)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (22405)Memory used [KB]: 5373
% 0.20/0.51  % (22405)Time elapsed: 0.004 s
% 0.20/0.51  % (22405)Instructions burned: 1 (million)
% 0.20/0.51  % (22405)------------------------------
% 0.20/0.51  % (22405)------------------------------
% 0.20/0.51  % (22395)Success in time 0.151 s
%------------------------------------------------------------------------------