TSTP Solution File: SEU158+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU158+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 : n009.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 18:32:13 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   43 (  18   ~;  14   |;   5   &)
%                                         (   4 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   20 (  14   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,plain,
    $false,
    inference(subsumption_resolution,[],[f37,f32]) ).

fof(f32,plain,
    in(sK3,sK2),
    inference(resolution,[],[f29,f31]) ).

fof(f31,plain,
    ~ subset(singleton(sK3),sK2),
    inference(subsumption_resolution,[],[f30,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ subset(singleton(X0),X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ( subset(singleton(X0),X1)
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ~ subset(singleton(X0),X1) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
    <=> in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).

fof(f30,plain,
    ( ~ subset(singleton(sK3),sK2)
    | ~ in(sK3,sK2) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( ( ~ subset(singleton(sK3),sK2)
      | ~ in(sK3,sK2) )
    & ( subset(singleton(sK3),sK2)
      | in(sK3,sK2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f20,f21]) ).

fof(f21,plain,
    ( ? [X0,X1] :
        ( ( ~ subset(singleton(X1),X0)
          | ~ in(X1,X0) )
        & ( subset(singleton(X1),X0)
          | in(X1,X0) ) )
   => ( ( ~ subset(singleton(sK3),sK2)
        | ~ in(sK3,sK2) )
      & ( subset(singleton(sK3),sK2)
        | in(sK3,sK2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ? [X0,X1] :
      ( ( ~ subset(singleton(X1),X0)
        | ~ in(X1,X0) )
      & ( subset(singleton(X1),X0)
        | in(X1,X0) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ? [X0,X1] :
      ( in(X1,X0)
    <~> subset(singleton(X1),X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ ! [X1,X0] :
        ( in(X1,X0)
      <=> subset(singleton(X1),X0) ),
    inference(rectify,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X1,X0] :
        ( in(X0,X1)
      <=> subset(singleton(X0),X1) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X1,X0] :
      ( in(X0,X1)
    <=> subset(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).

fof(f29,plain,
    ( subset(singleton(sK3),sK2)
    | in(sK3,sK2) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f37,plain,
    ~ in(sK3,sK2),
    inference(resolution,[],[f25,f31]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU158+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 : n009.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 14:40:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (31309)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 (3000ds/467Mi)
% 0.19/0.52  % (31297)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52  % (31288)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 (3000ds/37Mi)
% 0.19/0.52  % (31288)First to succeed.
% 0.19/0.52  % (31296)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52  % (31287)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52  % (31291)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 (3000ds/48Mi)
% 0.19/0.52  % (31301)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 (3000ds/75Mi)
% 0.19/0.52  % (31299)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.52  % (31298)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.52  % (31294)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.52  % (31308)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 (3000ds/498Mi)
% 0.19/0.52  % (31294)Instruction limit reached!
% 0.19/0.52  % (31294)------------------------------
% 0.19/0.52  % (31294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (31294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (31294)Termination reason: Unknown
% 0.19/0.52  % (31294)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (31294)Memory used [KB]: 5373
% 0.19/0.52  % (31294)Time elapsed: 0.003 s
% 0.19/0.52  % (31294)Instructions burned: 2 (million)
% 0.19/0.52  % (31294)------------------------------
% 0.19/0.52  % (31294)------------------------------
% 0.19/0.53  % (31310)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.53  % (31286)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 (3000ds/191324Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (31292)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53  TRYING [3]
% 0.19/0.53  TRYING [4]
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  TRYING [3]
% 0.19/0.53  TRYING [5]
% 0.19/0.53  TRYING [4]
% 0.19/0.53  TRYING [5]
% 0.19/0.53  % (31288)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (31288)------------------------------
% 0.19/0.53  % (31288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (31288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (31288)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (31288)Memory used [KB]: 895
% 0.19/0.53  % (31288)Time elapsed: 0.123 s
% 0.19/0.53  % (31288)Instructions burned: 1 (million)
% 0.19/0.53  % (31288)------------------------------
% 0.19/0.53  % (31288)------------------------------
% 0.19/0.53  % (31285)Success in time 0.186 s
%------------------------------------------------------------------------------