TSTP Solution File: ARI164_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n008.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 15:47:32 EDT 2022

% Result   : Theorem 0.14s 0.46s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   9   ~;   3   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   44 (   7 atm;  13 fun;  10 num;  14 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    :    4 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  10   !;   4   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f24,plain,
    $false,
    inference(evaluation,[],[f22]) ).

tff(f22,plain,
    ~ $less($uminus(1),0),
    inference(superposition,[],[f18,f19]) ).

tff(f19,plain,
    ! [X0: $int] : ( $sum($uminus(X0),X0) = 0 ),
    inference(superposition,[],[f7,f13]) ).

tff(f13,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_153,[]) ).

tff(f7,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

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

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

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

tff(f15,plain,
    ! [X1: $int,X0: $int] :
      ( ( $sum(X0,1) != X1 )
      | ~ $less(X0,X1) ),
    inference(ennf_transformation,[],[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
% 0.00/0.09  % Problem    : ARI164=1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29  % Computer : n008.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Aug 29 15:27:10 EDT 2022
% 0.09/0.29  % CPUTime    : 
% 0.14/0.44  % (9400)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)
% 0.14/0.44  % (9402)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.14/0.45  % (9396)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.14/0.45  % (9392)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)
% 0.14/0.45  % (9394)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.45  % (9412)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)
% 0.14/0.45  % (9394)Instruction limit reached!
% 0.14/0.45  % (9394)------------------------------
% 0.14/0.45  % (9394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.45  % (9394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.45  % (9394)Termination reason: Unknown
% 0.14/0.45  % (9394)Termination phase: Blocked clause elimination
% 0.14/0.45  
% 0.14/0.45  % (9394)Memory used [KB]: 895
% 0.14/0.45  % (9394)Time elapsed: 0.003 s
% 0.14/0.45  % (9394)Instructions burned: 2 (million)
% 0.14/0.45  % (9394)------------------------------
% 0.14/0.45  % (9394)------------------------------
% 0.14/0.45  % (9404)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.14/0.45  % (9404)First to succeed.
% 0.14/0.45  % (9408)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.14/0.46  % (9402)Also succeeded, but the first one will report.
% 0.14/0.46  % (9396)Also succeeded, but the first one will report.
% 0.14/0.46  % (9404)Refutation found. Thanks to Tanya!
% 0.14/0.46  % SZS status Theorem for theBenchmark
% 0.14/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.46  % (9404)------------------------------
% 0.14/0.46  % (9404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (9404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46  % (9404)Termination reason: Refutation
% 0.14/0.46  
% 0.14/0.46  % (9404)Memory used [KB]: 5373
% 0.14/0.46  % (9404)Time elapsed: 0.107 s
% 0.14/0.46  % (9404)Instructions burned: 2 (million)
% 0.14/0.46  % (9404)------------------------------
% 0.14/0.46  % (9404)------------------------------
% 0.14/0.46  % (9385)Success in time 0.157 s
%------------------------------------------------------------------------------