TSTP Solution File: ARI338_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI338_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n031.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 : Fri Sep  1 13:39:26 EDT 2023

% Result   : Theorem 0.20s 0.42s
% 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(f24,plain,
    $false,
    inference(evaluation,[],[f20]) ).

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

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

tff(f13,plain,
    ! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_151,[]) ).

tff(f7,plain,
    ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_143,[]) ).

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

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

tff(f1,conjecture,
    ? [X0: $rat,X1: $rat] :
      ( $less(X0,X1)
      & ( $sum(X0,1/1) = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.n5WLHw9s6a/Vampire---4.8_22699',rat_combined_problem_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ARI338_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Wed Aug 30 18:29:42 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.41  % (22833)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.41  % (22850)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.20/0.41  % (22846)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.41  % (22845)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.41  % (22848)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.41  % (22847)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.41  % (22849)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.20/0.41  % (22846)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.41  % (22846)Terminated due to inappropriate strategy.
% 0.20/0.41  % (22846)------------------------------
% 0.20/0.41  % (22846)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.41  % (22845)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.41  % (22846)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.41  % (22846)Termination reason: Inappropriate
% 0.20/0.41  
% 0.20/0.41  % (22846)Memory used [KB]: 767
% 0.20/0.41  % (22846)Time elapsed: 0.002 s
% 0.20/0.41  % (22845)Terminated due to inappropriate strategy.
% 0.20/0.41  % (22845)------------------------------
% 0.20/0.41  % (22845)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.41  % (22846)------------------------------
% 0.20/0.41  % (22846)------------------------------
% 0.20/0.41  % (22845)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.41  % (22845)Termination reason: Inappropriate
% 0.20/0.41  
% 0.20/0.41  % (22845)Memory used [KB]: 767
% 0.20/0.41  % (22845)Time elapsed: 0.002 s
% 0.20/0.41  % (22845)------------------------------
% 0.20/0.41  % (22845)------------------------------
% 0.20/0.41  % (22851)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.20/0.41  % (22848)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.41  % (22848)Terminated due to inappropriate strategy.
% 0.20/0.41  % (22848)------------------------------
% 0.20/0.41  % (22848)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.41  % (22848)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.41  % (22848)Termination reason: Inappropriate
% 0.20/0.41  
% 0.20/0.41  % (22848)Memory used [KB]: 767
% 0.20/0.41  % (22848)Time elapsed: 0.002 s
% 0.20/0.41  % (22848)------------------------------
% 0.20/0.41  % (22848)------------------------------
% 0.20/0.41  % (22850)First to succeed.
% 0.20/0.42  % (22850)Refutation found. Thanks to Tanya!
% 0.20/0.42  % SZS status Theorem for Vampire---4
% 0.20/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42  % (22850)------------------------------
% 0.20/0.42  % (22850)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42  % (22850)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42  % (22850)Termination reason: Refutation
% 0.20/0.42  
% 0.20/0.42  % (22850)Memory used [KB]: 895
% 0.20/0.42  % (22850)Time elapsed: 0.003 s
% 0.20/0.42  % (22850)------------------------------
% 0.20/0.42  % (22850)------------------------------
% 0.20/0.42  % (22833)Success in time 0.06 s
% 0.20/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------