TSTP Solution File: SEU294+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n022.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 18:33:03 EDT 2022

% Result   : Theorem 1.78s 0.59s
% Output   : Refutation 1.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   5 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   52 (  19   ~;   9   |;  15   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   32 (  24   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f521,plain,
    $false,
    inference(subsumption_resolution,[],[f520,f226]) ).

fof(f226,plain,
    finite(sK14),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( subset(sK13,sK14)
    & ~ finite(sK13)
    & finite(sK14) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f143,f144]) ).

fof(f144,plain,
    ( ? [X0,X1] :
        ( subset(X0,X1)
        & ~ finite(X0)
        & finite(X1) )
   => ( subset(sK13,sK14)
      & ~ finite(sK13)
      & finite(sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ? [X0,X1] :
      ( subset(X0,X1)
      & ~ finite(X0)
      & finite(X1) ),
    inference(rectify,[],[f111]) ).

fof(f111,plain,
    ? [X1,X0] :
      ( subset(X1,X0)
      & ~ finite(X1)
      & finite(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ? [X1,X0] :
      ( ~ finite(X1)
      & finite(X0)
      & subset(X1,X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ~ ! [X1,X0] :
        ( ( finite(X0)
          & subset(X1,X0) )
       => finite(X1) ),
    inference(rectify,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( subset(X0,X1)
          & finite(X1) )
       => finite(X0) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & finite(X1) )
     => finite(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

fof(f520,plain,
    ~ finite(sK14),
    inference(subsumption_resolution,[],[f518,f227]) ).

fof(f227,plain,
    ~ finite(sK13),
    inference(cnf_transformation,[],[f145]) ).

fof(f518,plain,
    ( finite(sK13)
    | ~ finite(sK14) ),
    inference(resolution,[],[f480,f228]) ).

fof(f228,plain,
    subset(sK13,sK14),
    inference(cnf_transformation,[],[f145]) ).

fof(f480,plain,
    ! [X3,X4] :
      ( ~ subset(X3,X4)
      | ~ finite(X4)
      | finite(X3) ),
    inference(resolution,[],[f277,f273]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
      | ~ subset(X1,X0) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
     => element(X1,powerset(X0)) ),
    inference(unused_predicate_definition_removal,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
    <=> subset(X1,X0) ),
    inference(rectify,[],[f50]) ).

fof(f50,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> element(X0,powerset(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f277,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | finite(X1)
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ element(X1,powerset(X0))
          | finite(X1) )
      | ~ finite(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( finite(X0)
     => ! [X1] :
          ( element(X1,powerset(X0))
         => finite(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 15:06:56 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.55/0.56  % (27785)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)
% 1.55/0.56  % (27810)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.55/0.56  % (27799)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.55/0.56  % (27797)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)
% 1.55/0.57  % (27787)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)
% 1.55/0.57  % (27800)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)
% 1.55/0.57  % (27802)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)
% 1.55/0.57  % (27804)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.55/0.57  % (27809)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)
% 1.78/0.57  % (27812)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)
% 1.78/0.58  % (27788)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)
% 1.78/0.58  % (27795)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)
% 1.78/0.58  % (27790)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)
% 1.78/0.58  % (27801)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)
% 1.78/0.58  % (27789)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.78/0.58  TRYING [1]
% 1.78/0.58  TRYING [2]
% 1.78/0.58  TRYING [3]
% 1.78/0.58  % (27810)First to succeed.
% 1.78/0.59  % (27789)Also succeeded, but the first one will report.
% 1.78/0.59  TRYING [4]
% 1.78/0.59  % (27810)Refutation found. Thanks to Tanya!
% 1.78/0.59  % SZS status Theorem for theBenchmark
% 1.78/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.59  % (27810)------------------------------
% 1.78/0.59  % (27810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59  % (27810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59  % (27810)Termination reason: Refutation
% 1.78/0.59  
% 1.78/0.59  % (27810)Memory used [KB]: 5628
% 1.78/0.59  % (27810)Time elapsed: 0.155 s
% 1.78/0.59  % (27810)Instructions burned: 9 (million)
% 1.78/0.59  % (27810)------------------------------
% 1.78/0.59  % (27810)------------------------------
% 1.78/0.59  % (27784)Success in time 0.238 s
%------------------------------------------------------------------------------