TSTP Solution File: ARI338_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n013.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 15:45:54 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% 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(f29,plain,
    $false,
    inference(subsumption_resolution,[],[f22,f8]) ).

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

tff(f22,plain,
    ! [X0: $rat] : $less(X0,X0),
    inference(resolution,[],[f21,f12]) ).

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

tff(f21,plain,
    ! [X0: $rat] : ~ $less(X0,$sum(X0,1/1)),
    inference(equality_resolution,[],[f17]) ).

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

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

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

tff(f14,plain,
    ~ ? [X1: $rat,X0: $rat] :
        ( ( $sum(X1,1/1) = X0 )
        & $less(X1,X0) ),
    inference(rectify,[],[f2]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI338=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:30:16 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (22540)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.18/0.49  % (22527)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.49  % (22532)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.50  % (22540)First to succeed.
% 0.18/0.50  % (22532)Also succeeded, but the first one will report.
% 0.18/0.50  % (22540)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (22540)------------------------------
% 0.18/0.50  % (22540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (22540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (22540)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (22540)Memory used [KB]: 1023
% 0.18/0.50  % (22540)Time elapsed: 0.052 s
% 0.18/0.50  % (22540)Instructions burned: 2 (million)
% 0.18/0.50  % (22540)------------------------------
% 0.18/0.50  % (22540)------------------------------
% 0.18/0.50  % (22517)Success in time 0.157 s
%------------------------------------------------------------------------------