TSTP Solution File: ARI202_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI202_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 : 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 15:47:37 EDT 2022

% Result   : Theorem 1.27s 0.54s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   21 (   7 atm;   1 fun;   6 num;   7 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   5   !;   2   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f42,plain,
    $false,
    inference(resolution,[],[f34,f15]) ).

tff(f15,plain,
    ! [X0: $rat] : ~ $less(-13/4,X0),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ~ $less(-13/4,X0),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : $less(-13/4,X0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : $less(-13/4,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_less_problem_13) ).

tff(f34,plain,
    ! [X0: $rat] : $less(X0,-13/4),
    inference(resolution,[],[f12,f15]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI202=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n022.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   : Mon Aug 29 15:26:41 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (20767)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  % (20765)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.27/0.52  % (20767)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.27/0.52  % (20767)Terminated due to inappropriate strategy.
% 1.27/0.52  % (20767)------------------------------
% 1.27/0.52  % (20767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.52  % (20767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.52  % (20767)Termination reason: Inappropriate
% 1.27/0.52  
% 1.27/0.52  % (20767)Memory used [KB]: 895
% 1.27/0.52  % (20767)Time elapsed: 0.002 s
% 1.27/0.52  % (20767)Instructions burned: 1 (million)
% 1.27/0.52  % (20767)------------------------------
% 1.27/0.52  % (20767)------------------------------
% 1.27/0.53  % (20783)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)
% 1.27/0.53  % (20775)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)
% 1.27/0.53  % (20776)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 1.27/0.53  % (20763)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)
% 1.27/0.53  % (20771)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.27/0.53  % (20776)First to succeed.
% 1.27/0.53  % (20789)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.27/0.54  % (20775)Also succeeded, but the first one will report.
% 1.27/0.54  % (20790)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 1.27/0.54  % (20780)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)
% 1.27/0.54  % (20776)Refutation found. Thanks to Tanya!
% 1.27/0.54  % SZS status Theorem for theBenchmark
% 1.27/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.54  % (20776)------------------------------
% 1.27/0.54  % (20776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.54  % (20776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.54  % (20776)Termination reason: Refutation
% 1.27/0.54  
% 1.27/0.54  % (20776)Memory used [KB]: 895
% 1.27/0.54  % (20776)Time elapsed: 0.090 s
% 1.27/0.54  % (20776)Instructions burned: 2 (million)
% 1.27/0.54  % (20776)------------------------------
% 1.27/0.54  % (20776)------------------------------
% 1.27/0.54  % (20760)Success in time 0.178 s
%------------------------------------------------------------------------------