TSTP Solution File: ARI577_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI577_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : n022.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 15:48:36 EDT 2022

% Result   : Theorem 1.43s 0.52s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   20 (   6   ~;   8   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   83 (  24 atm;  16 fun;  28 num;  15 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    :    5 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   9   !;   6   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f23,plain,
    $false,
    inference(evaluation,[],[f22]) ).

tff(f22,plain,
    $less(10,$sum(5,4)),
    inference(resolution,[],[f21,f9]) ).

tff(f9,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f21,plain,
    ! [X1: $int] :
      ( $less(10,$sum(X1,4))
      | $less(X1,5) ),
    inference(evaluation,[],[f20]) ).

tff(f20,plain,
    ! [X1: $int] :
      ( $less(X1,$sum(4,1))
      | $less(10,$sum(X1,4)) ),
    inference(resolution,[],[f9,f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(10,$sum(X1,X0))
      | $less(X0,4) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(10,$sum(X1,X0))
      | $less(X0,4) ),
    inference(rectify,[],[f16]) ).

tff(f16,plain,
    ! [X1: $int,X0: $int] :
      ( $less(X0,$sum(X1,1))
      | $less(10,$sum(X0,X1))
      | $less(X1,4) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $int,X1: $int] :
        ( ~ $less(X0,$sum(X1,1))
        & ~ $less(10,$sum(X0,X1))
        & ~ $less(X1,4) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int,X1: $int] :
        ( $lesseq($sum(X1,1),X0)
        & $lesseq(4,X1)
        & $lesseq($sum(X0,X1),10) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int,X1: $int] :
      ( $lesseq($sum(X1,1),X0)
      & $lesseq(4,X1)
      & $lesseq($sum(X0,X1),10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ineq_sys_solvable_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : ARI577=1 : TPTP v8.1.0. Released v5.1.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 15:50:11 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.48  % (19521)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.49  % (19537)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.49  % (19512)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.49  % (19536)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.49  % (19513)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50  % (19529)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.20/0.50  % (19527)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51  % (19519)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52  % (19531)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)
% 0.20/0.52  % (19523)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)
% 0.20/0.52  % (19510)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52  % (19515)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)
% 0.20/0.52  % (19515)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52  % (19515)Terminated due to inappropriate strategy.
% 0.20/0.52  % (19515)------------------------------
% 0.20/0.52  % (19515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (19515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (19515)Termination reason: Inappropriate
% 0.20/0.52  
% 0.20/0.52  % (19515)Memory used [KB]: 895
% 0.20/0.52  % (19515)Time elapsed: 0.003 s
% 0.20/0.52  % (19515)------------------------------
% 0.20/0.52  % (19515)------------------------------
% 0.20/0.52  % (19511)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.52  % (19514)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 1.43/0.52  % (19531)First to succeed.
% 1.43/0.52  % (19522)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.43/0.52  % (19528)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.43/0.52  % (19520)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.43/0.52  % (19531)Refutation found. Thanks to Tanya!
% 1.43/0.52  % SZS status Theorem for theBenchmark
% 1.43/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.52  % (19531)------------------------------
% 1.43/0.52  % (19531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.52  % (19531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.52  % (19531)Termination reason: Refutation
% 1.43/0.52  
% 1.43/0.52  % (19531)Memory used [KB]: 895
% 1.43/0.52  % (19531)Time elapsed: 0.098 s
% 1.43/0.52  % (19531)Instructions burned: 2 (million)
% 1.43/0.52  % (19531)------------------------------
% 1.43/0.52  % (19531)------------------------------
% 1.43/0.52  % (19508)Success in time 0.182 s
%------------------------------------------------------------------------------