TSTP Solution File: ARI338_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI338_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 : n020.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 15:47:57 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   2   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   39 (   6 atm;  12 fun;   9 num;  12 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   :   12 (   8   !;   4   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f22,plain,
    $false,
    inference(evaluation,[],[f20]) ).

tff(f20,plain,
    ~ $less($uminus(1/1),0/1),
    inference(superposition,[],[f16,f17]) ).

tff(f17,plain,
    ! [X0: $rat] : ( $sum($uminus(X0),X0) = 0/1 ),
    inference(superposition,[],[f7,f13]) ).

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

tff(f7,plain,
    ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f16,plain,
    ! [X0: $rat] : ~ $less(X0,$sum(X0,1/1)),
    inference(equality_resolution,[],[f15]) ).

tff(f15,plain,
    ! [X0: $rat,X1: $rat] :
      ( ( $sum(X0,1/1) != X1 )
      | ~ $less(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat,X1: $rat] :
      ( ( $sum(X0,1/1) != X1 )
      | ~ $less(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

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

tff(f1,conjecture,
    ? [X0: $rat,X1: $rat] :
      ( ( $sum(X0,1/1) = X1 )
      & $less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : ARI338=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 15:35:45 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (10137)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (10136)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (10137)Instruction limit reached!
% 0.20/0.52  % (10137)------------------------------
% 0.20/0.52  % (10137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (10137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (10137)Termination reason: Unknown
% 0.20/0.52  % (10137)Termination phase: Preprocessing 3
% 0.20/0.52  
% 0.20/0.52  % (10137)Memory used [KB]: 895
% 0.20/0.52  % (10137)Time elapsed: 0.002 s
% 0.20/0.52  % (10137)Instructions burned: 2 (million)
% 0.20/0.52  % (10137)------------------------------
% 0.20/0.52  % (10137)------------------------------
% 0.20/0.52  % (10145)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 (2999ds/99Mi)
% 0.20/0.53  % (10145)First to succeed.
% 0.20/0.53  % (10135)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (10135)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53  % (10135)Terminated due to inappropriate strategy.
% 0.20/0.53  % (10135)------------------------------
% 0.20/0.53  % (10135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (10135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (10135)Termination reason: Inappropriate
% 0.20/0.53  
% 0.20/0.53  % (10135)Memory used [KB]: 895
% 0.20/0.53  % (10135)Time elapsed: 0.002 s
% 0.20/0.53  % (10135)Instructions burned: 2 (million)
% 0.20/0.53  % (10135)------------------------------
% 0.20/0.53  % (10135)------------------------------
% 0.20/0.53  % (10153)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (10145)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Theorem for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (10145)------------------------------
% 0.20/0.53  % (10145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (10145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (10145)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (10145)Memory used [KB]: 5373
% 0.20/0.53  % (10145)Time elapsed: 0.112 s
% 0.20/0.53  % (10145)Instructions burned: 2 (million)
% 0.20/0.53  % (10145)------------------------------
% 0.20/0.53  % (10145)------------------------------
% 0.20/0.53  % (10128)Success in time 0.171 s
%------------------------------------------------------------------------------