TSTP Solution File: NUM604+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM604+3 : 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 18:06:05 EDT 2022

% Result   : Theorem 0.21s 0.62s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   36 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   27 (   8   ~;   5   |;  11   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1128,plain,
    $false,
    inference(subsumption_resolution,[],[f1127,f562]) ).

fof(f562,plain,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ~ aElementOf0(xx,xS),
    inference(flattening,[],[f102]) ).

fof(f102,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(negated_conjecture,[],[f101]) ).

fof(f101,conjecture,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f1127,plain,
    aElementOf0(xx,xS),
    inference(resolution,[],[f1123,f613]) ).

fof(f613,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
      | aElementOf0(X0,xS) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ( ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,axiom,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
       => aElementOf0(X0,xS) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5045) ).

fof(f1123,plain,
    aElementOf0(xx,sdtlpdtrp0(xN,xi)),
    inference(forward_demodulation,[],[f1120,f501]) ).

fof(f501,plain,
    xx = sdtlpdtrp0(xe,xi),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,axiom,
    ( xx = sdtlpdtrp0(xe,xi)
    & aElementOf0(xi,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).

fof(f1120,plain,
    aElementOf0(sdtlpdtrp0(xe,xi),sdtlpdtrp0(xN,xi)),
    inference(resolution,[],[f691,f500]) ).

fof(f500,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f99]) ).

fof(f691,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f243]) ).

fof(f243,plain,
    ( szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe)
    & ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | ( ! [X1] :
              ( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
              | sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
          & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
          & szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ) ) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
          & szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
          & ! [X1] :
              ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
             => sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) ) ) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM604+3 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.14/0.35  % Computer : n026.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   : Tue Aug 30 07:31:51 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.53  % (20440)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (20451)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (20443)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (20440)Instruction limit reached!
% 0.21/0.54  % (20440)------------------------------
% 0.21/0.54  % (20440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (20440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (20440)Termination reason: Unknown
% 0.21/0.54  % (20440)Termination phase: Preprocessing 3
% 0.21/0.54  
% 0.21/0.54  % (20440)Memory used [KB]: 1407
% 0.21/0.54  % (20440)Time elapsed: 0.005 s
% 0.21/0.54  % (20440)Instructions burned: 8 (million)
% 0.21/0.54  % (20440)------------------------------
% 0.21/0.54  % (20440)------------------------------
% 0.21/0.55  % (20448)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)
% 0.21/0.55  % (20456)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)
% 0.21/0.55  % (20434)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  % (20450)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (20433)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.56  % (20449)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)
% 0.21/0.56  % (20457)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56  % (20445)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.56  % (20437)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56  % (20455)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 (2999ds/498Mi)
% 0.21/0.56  % (20439)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)
% 0.21/0.56  % (20453)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.56  % (20458)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56  % (20459)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 (2999ds/68Mi)
% 0.21/0.56  % (20460)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.56  % (20441)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56  % (20441)Instruction limit reached!
% 0.21/0.56  % (20441)------------------------------
% 0.21/0.56  % (20441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (20441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (20441)Termination reason: Unknown
% 0.21/0.56  % (20441)Termination phase: Preprocessing 1
% 0.21/0.56  
% 0.21/0.56  % (20441)Memory used [KB]: 1023
% 0.21/0.56  % (20441)Time elapsed: 0.002 s
% 0.21/0.56  % (20441)Instructions burned: 2 (million)
% 0.21/0.56  % (20441)------------------------------
% 0.21/0.56  % (20441)------------------------------
% 0.21/0.57  % (20452)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 (2999ds/100Mi)
% 0.21/0.57  % (20446)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57  % (20436)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)
% 0.21/0.57  % (20438)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)
% 0.21/0.57  % (20447)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 (2999ds/68Mi)
% 0.21/0.58  % (20454)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.58  % (20442)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)
% 0.21/0.58  % (20462)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 (2999ds/355Mi)
% 0.21/0.58  % (20444)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)
% 0.21/0.59  % (20461)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.59  % (20435)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 (2999ds/37Mi)
% 0.21/0.60  % (20437)First to succeed.
% 0.21/0.61  % (20438)Instruction limit reached!
% 0.21/0.61  % (20438)------------------------------
% 0.21/0.61  % (20438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62  % (20437)Refutation found. Thanks to Tanya!
% 0.21/0.62  % SZS status Theorem for theBenchmark
% 0.21/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.62  % (20437)------------------------------
% 0.21/0.62  % (20437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62  % (20437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62  % (20437)Termination reason: Refutation
% 0.21/0.62  
% 0.21/0.62  % (20437)Memory used [KB]: 6396
% 0.21/0.62  % (20437)Time elapsed: 0.179 s
% 0.21/0.62  % (20437)Instructions burned: 40 (million)
% 0.21/0.62  % (20437)------------------------------
% 0.21/0.62  % (20437)------------------------------
% 0.21/0.62  % (20432)Success in time 0.255 s
%------------------------------------------------------------------------------