TSTP Solution File: NUM561+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM561+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : n026.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 18:05:49 EDT 2022

% Result   : Theorem 0.22s 0.55s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   15 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   7   ~;   4   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f456,plain,
    $false,
    inference(trivial_inequality_removal,[],[f455]) ).

fof(f455,plain,
    sdtlpdtrp0(xF,xx) != sdtlpdtrp0(xF,xx),
    inference(resolution,[],[f328,f279]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szDzozmdt0(xF))
      | sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ! [X0] :
        ( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx)
        | ~ aElementOf0(X0,szDzozmdt0(xF)) )
    & ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,negated_conjecture,
    ~ ( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
      | ? [X0] :
          ( aElementOf0(X0,szDzozmdt0(xF))
          & sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx) ) ),
    inference(negated_conjecture,[],[f71]) ).

fof(f71,conjecture,
    ( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
    | ? [X0] :
        ( aElementOf0(X0,szDzozmdt0(xF))
        & sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f328,plain,
    aElementOf0(xx,szDzozmdt0(xF)),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,axiom,
    aElementOf0(xx,szDzozmdt0(xF)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911_02) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : NUM561+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 30 07:18:20 EDT 2022
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  % (19179)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)
% 0.22/0.53  % (19196)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.22/0.53  % (19188)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 (2999ds/75Mi)
% 0.22/0.53  % (19176)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.53  % (19182)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.53  % (19180)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.54  % (19184)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.54  % (19178)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 (2999ds/48Mi)
% 0.22/0.54  % (19196)First to succeed.
% 0.22/0.54  % (19180)Instruction limit reached!
% 0.22/0.54  % (19180)------------------------------
% 0.22/0.54  % (19180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54  % (19180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (19180)Termination reason: Unknown
% 0.22/0.54  % (19180)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (19180)Memory used [KB]: 5628
% 0.22/0.54  % (19180)Time elapsed: 0.009 s
% 0.22/0.54  % (19180)Instructions burned: 8 (million)
% 0.22/0.54  % (19180)------------------------------
% 0.22/0.54  % (19180)------------------------------
% 0.22/0.55  % (19188)Also succeeded, but the first one will report.
% 0.22/0.55  % (19196)Refutation found. Thanks to Tanya!
% 0.22/0.55  % SZS status Theorem for theBenchmark
% 0.22/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55  % (19196)------------------------------
% 0.22/0.55  % (19196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55  % (19196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55  % (19196)Termination reason: Refutation
% 0.22/0.55  
% 0.22/0.55  % (19196)Memory used [KB]: 5756
% 0.22/0.55  % (19196)Time elapsed: 0.077 s
% 0.22/0.55  % (19196)Instructions burned: 12 (million)
% 0.22/0.55  % (19196)------------------------------
% 0.22/0.55  % (19196)------------------------------
% 0.22/0.55  % (19169)Success in time 0.174 s
%------------------------------------------------------------------------------