TSTP Solution File: NUM548+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM548+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 : n019.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 18:05:45 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   41 (   3 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   38 (  15   ~;  10   |;   9   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f502,plain,
    $false,
    inference(subsumption_resolution,[],[f501,f373]) ).

fof(f373,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,axiom,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).

fof(f501,plain,
    ~ aElementOf0(xk,szNzAzT0),
    inference(subsumption_resolution,[],[f500,f296]) ).

fof(f296,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,xQ)
        | aElementOf0(X0,xS) )
    & xk = sbrdtbr0(xQ)
    & aSet0(xQ)
    & aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & aSubsetOf0(xQ,xS) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & aSubsetOf0(xQ,xS)
    & xk = sbrdtbr0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xS) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).

fof(f500,plain,
    ( ~ aSet0(xQ)
    | ~ aElementOf0(xk,szNzAzT0) ),
    inference(subsumption_resolution,[],[f496,f388]) ).

fof(f388,plain,
    ~ isFinite0(xQ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ~ isFinite0(xQ),
    inference(flattening,[],[f67]) ).

fof(f67,negated_conjecture,
    ~ isFinite0(xQ),
    inference(negated_conjecture,[],[f66]) ).

fof(f66,conjecture,
    isFinite0(xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f496,plain,
    ( isFinite0(xQ)
    | ~ aElementOf0(xk,szNzAzT0)
    | ~ aSet0(xQ) ),
    inference(superposition,[],[f387,f297]) ).

fof(f297,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f153]) ).

fof(f387,plain,
    ! [X0] :
      ( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
      | ~ aSet0(X0)
      | isFinite0(X0) ),
    inference(cnf_transformation,[],[f246]) ).

fof(f246,plain,
    ! [X0] :
      ( ( ( isFinite0(X0)
          | ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) )
        & ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
          | ~ isFinite0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ( isFinite0(X0)
      <=> aElementOf0(sbrdtbr0(X0),szNzAzT0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( isFinite0(X0)
      <=> aElementOf0(sbrdtbr0(X0),szNzAzT0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NUM548+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n019.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 07:02:35 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.48  % (15112)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)
% 0.18/0.48  % (15104)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.49  % (15092)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)
% 0.18/0.49  % (15100)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49  % (15100)Instruction limit reached!
% 0.18/0.49  % (15100)------------------------------
% 0.18/0.49  % (15100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (15100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (15100)Termination reason: Unknown
% 0.18/0.49  % (15100)Termination phase: Naming
% 0.18/0.49  
% 0.18/0.49  % (15100)Memory used [KB]: 1023
% 0.18/0.49  % (15100)Time elapsed: 0.002 s
% 0.18/0.49  % (15100)Instructions burned: 2 (million)
% 0.18/0.49  % (15100)------------------------------
% 0.18/0.49  % (15100)------------------------------
% 0.18/0.49  % (15119)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)
% 0.18/0.49  % (15102)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50  % (15105)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (15101)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)
% 0.18/0.50  % (15103)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)
% 0.18/0.50  % (15120)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.50  % (15093)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)
% 0.18/0.50  % (15114)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)
% 0.18/0.50  % (15106)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)
% 0.18/0.51  % (15094)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)
% 0.18/0.51  % (15104)First to succeed.
% 0.18/0.51  % (15099)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  % (15096)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (15095)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)
% 0.18/0.51  % (15097)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)
% 0.18/0.52  % (15118)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)
% 0.18/0.52  % (15119)Also succeeded, but the first one will report.
% 0.18/0.52  % (15104)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Theorem for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (15104)------------------------------
% 0.18/0.52  % (15104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (15104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (15104)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (15104)Memory used [KB]: 5756
% 0.18/0.52  % (15104)Time elapsed: 0.119 s
% 0.18/0.52  % (15104)Instructions burned: 15 (million)
% 0.18/0.52  % (15104)------------------------------
% 0.18/0.52  % (15104)------------------------------
% 0.18/0.52  % (15091)Success in time 0.18 s
%------------------------------------------------------------------------------