%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI164_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 : n029.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 15:45:32 EDT 2022

% Result   : Theorem 0.16s 0.47s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  10   ~;   4   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   44 (  11 atm;   8 fun;   8 num;  17 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   17 (  11   !;   6   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f26,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f20,plain,
    ! [X0: $int] : $less(X0,X0),
    inference(resolution,[],[f19,f12]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

tff(f19,plain,
    ! [X0: $int] : ~ $less(X0,$sum(X0,1)),
    inference(equality_resolution,[],[f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] :
      ( ( $sum(X0,1) != X1 )
      | ~ $less(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int] :
      ( ( $sum(X0,1) != X1 )
      | ~ $less(X0,X1) ),
    inference(rectify,[],[f16]) ).

tff(f16,plain,
    ! [X1: $int,X0: $int] :
      ( ( $sum(X1,1) != X0 )
      | ~ $less(X1,X0) ),
    inference(ennf_transformation,[],[f15]) ).

tff(f15,plain,
    ~ ? [X0: $int,X1: $int] :
        ( $less(X1,X0)
        & ( $sum(X1,1) = X0 ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X1: $int,X0: $int] :
        ( $less(X0,X1)
        & ( $sum(X0,1) = X1 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X1: $int,X0: $int] :
      ( $less(X0,X1)
      & ( $sum(X0,1) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exist_bigger_plus_one) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem    : ARI164=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 15:33:11 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.46  % (28575)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.16/0.46  % (28565)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.16/0.46  % (28552)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)
% 0.16/0.46  % (28575)First to succeed.
% 0.16/0.47  % (28565)Refutation not found, incomplete strategy% (28565)------------------------------
% 0.16/0.47  % (28565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47  % (28567)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.47  % (28575)Refutation found. Thanks to Tanya!
% 0.16/0.47  % SZS status Theorem for theBenchmark
% 0.16/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47  % (28575)------------------------------
% 0.16/0.47  % (28575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47  % (28575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47  % (28575)Termination reason: Refutation
% 0.16/0.47  
% 0.16/0.47  % (28575)Memory used [KB]: 5373
% 0.16/0.47  % (28575)Time elapsed: 0.073 s
% 0.16/0.47  % (28575)Instructions burned: 2 (million)
% 0.16/0.47  % (28575)------------------------------
% 0.16/0.47  % (28575)------------------------------
% 0.16/0.47  % (28551)Success in time 0.144 s
%------------------------------------------------------------------------------