TSTP Solution File: SET787-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET787-2 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n004.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 18:22:16 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   38 (   9 unt;   0 def)
%            Number of atoms       :   72 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (  29   ~;  28   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f272,plain,
    $false,
    inference(avatar_sat_refutation,[],[f230,f242,f254,f258,f263,f269,f271]) ).

fof(f271,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f270,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f268,f161]) ).

fof(f161,plain,
    ~ member(sk2,a),
    inference(resolution,[],[f17,f149]) ).

fof(f149,axiom,
    ~ member(sk2,un(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( member(X0,un(X1,X2))
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f268,plain,
    ( member(sk2,a)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl0_7
  <=> member(sk2,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f269,plain,
    ( spl0_7
    | ~ spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f264,f223,f251,f266]) ).

fof(f251,plain,
    ( spl0_6
  <=> member(sk2,union(cons(a,cons(b,eptset)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f223,plain,
    ( spl0_1
  <=> a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f264,plain,
    ( ~ member(sk2,union(cons(a,cons(b,eptset))))
    | member(sk2,a)
    | ~ spl0_1 ),
    inference(superposition,[],[f102,f225]) ).

fof(f225,plain,
    ( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f102,axiom,
    ! [X0,X1] :
      ( member(X0,unionE_sk1(X0,X1))
      | ~ member(X0,union(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f263,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f249,f160]) ).

fof(f160,plain,
    ~ member(sk2,b),
    inference(resolution,[],[f16,f149]) ).

fof(f16,axiom,
    ! [X2,X0,X1] :
      ( member(X0,un(X2,X1))
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

fof(f249,plain,
    ( member(sk2,b)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_5
  <=> member(sk2,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f258,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f256]) ).

fof(f256,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f253,f148]) ).

fof(f148,axiom,
    member(sk2,union(cons(a,cons(b,eptset)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).

fof(f253,plain,
    ( ~ member(sk2,union(cons(a,cons(b,eptset))))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f254,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f245,f238,f251,f247]) ).

fof(f238,plain,
    ( spl0_4
  <=> b = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f245,plain,
    ( ~ member(sk2,union(cons(a,cons(b,eptset))))
    | member(sk2,b)
    | ~ spl0_4 ),
    inference(superposition,[],[f102,f240]) ).

fof(f240,plain,
    ( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f242,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f231,f227,f238]) ).

fof(f227,plain,
    ( spl0_2
  <=> member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f231,plain,
    ( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | ~ spl0_2 ),
    inference(resolution,[],[f229,f94]) ).

fof(f94,axiom,
    ! [X0,X1] :
      ( ~ member(X0,cons(X1,eptset))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f229,plain,
    ( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f230,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f220,f227,f223]) ).

fof(f220,plain,
    ( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
    | a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
    inference(resolution,[],[f95,f169]) ).

fof(f169,plain,
    member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
    inference(resolution,[],[f103,f148]) ).

fof(f103,axiom,
    ! [X0,X1] :
      ( ~ member(X0,union(X1))
      | member(unionE_sk1(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f95,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,cons(X1,X2))
      | member(X0,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SET787-2 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n004.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 14:16:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (12458)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.48  % (12482)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49  % (12458)First to succeed.
% 0.20/0.49  % (12468)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (12466)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (12466)Instruction limit reached!
% 0.20/0.50  % (12466)------------------------------
% 0.20/0.50  % (12466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (12466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (12466)Termination reason: Unknown
% 0.20/0.50  % (12466)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (12466)Memory used [KB]: 1407
% 0.20/0.50  % (12466)Time elapsed: 0.003 s
% 0.20/0.50  % (12466)Instructions burned: 4 (million)
% 0.20/0.50  % (12466)------------------------------
% 0.20/0.50  % (12466)------------------------------
% 0.20/0.50  % (12454)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.50  % (12460)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (12458)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (12458)------------------------------
% 0.20/0.50  % (12458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (12458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (12458)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (12458)Memory used [KB]: 6012
% 0.20/0.50  % (12458)Time elapsed: 0.094 s
% 0.20/0.50  % (12458)Instructions burned: 9 (million)
% 0.20/0.50  % (12458)------------------------------
% 0.20/0.50  % (12458)------------------------------
% 0.20/0.50  % (12452)Success in time 0.149 s
%------------------------------------------------------------------------------