TSTP Solution File: SEU137+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU137+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n011.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 18:26:50 EDT 2022

% Result   : Theorem 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   29 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  11   ~;   3   |;   5   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (  16   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f551,plain,
    $false,
    inference(subsumption_resolution,[],[f550,f533]) ).

fof(f533,plain,
    sK1 = set_union2(sK2,sK1),
    inference(resolution,[],[f209,f173]) ).

fof(f173,plain,
    subset(sK2,sK1),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( subset(sK2,sK1)
    & sK1 != set_union2(sK2,set_difference(sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f105,f106]) ).

fof(f106,plain,
    ( ? [X0,X1] :
        ( subset(X1,X0)
        & set_union2(X1,set_difference(X0,X1)) != X0 )
   => ( subset(sK2,sK1)
      & sK1 != set_union2(sK2,set_difference(sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ? [X0,X1] :
      ( subset(X1,X0)
      & set_union2(X1,set_difference(X0,X1)) != X0 ),
    inference(rectify,[],[f88]) ).

fof(f88,plain,
    ? [X1,X0] :
      ( subset(X0,X1)
      & set_union2(X0,set_difference(X1,X0)) != X1 ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ ! [X0,X1] :
        ( subset(X0,X1)
       => set_union2(X0,set_difference(X1,X0)) = X1 ),
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    ! [X0,X1] :
      ( subset(X0,X1)
     => set_union2(X0,set_difference(X1,X0)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_xboole_1) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | set_union2(X1,X0) = X0 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | set_union2(X1,X0) = X0 ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X1,X0] :
      ( ~ subset(X0,X1)
      | set_union2(X0,X1) = X1 ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
     => set_union2(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).

fof(f550,plain,
    sK1 != set_union2(sK2,sK1),
    inference(superposition,[],[f172,f150]) ).

fof(f150,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).

fof(f172,plain,
    sK1 != set_union2(sK2,set_difference(sK1,sK2)),
    inference(cnf_transformation,[],[f107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU137+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:40:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (14310)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (14318)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (14311)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (14326)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.54  % (14319)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (14327)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54  % (14314)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54  % (14318)Instruction limit reached!
% 0.20/0.54  % (14318)------------------------------
% 0.20/0.54  % (14318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (14318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (14318)Termination reason: Unknown
% 0.20/0.54  % (14318)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (14318)Memory used [KB]: 1535
% 0.20/0.54  % (14318)Time elapsed: 0.004 s
% 0.20/0.54  % (14318)Instructions burned: 3 (million)
% 0.20/0.54  % (14318)------------------------------
% 0.20/0.54  % (14318)------------------------------
% 0.20/0.55  % (14304)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.55  % (14308)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.55  % (14306)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55  % (14307)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (14311)First to succeed.
% 0.20/0.55  % (14322)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (14306)Instruction limit reached!
% 0.20/0.55  % (14306)------------------------------
% 0.20/0.55  % (14306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (14306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (14306)Termination reason: Unknown
% 0.20/0.55  % (14306)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (14306)Memory used [KB]: 6012
% 0.20/0.55  % (14306)Time elapsed: 0.004 s
% 0.20/0.55  % (14306)Instructions burned: 4 (million)
% 0.20/0.55  % (14306)------------------------------
% 0.20/0.55  % (14306)------------------------------
% 0.20/0.56  % (14322)Instruction limit reached!
% 0.20/0.56  % (14322)------------------------------
% 0.20/0.56  % (14322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (14322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (14322)Termination reason: Unknown
% 0.20/0.56  % (14322)Termination phase: Property scanning
% 0.20/0.56  
% 0.20/0.56  % (14322)Memory used [KB]: 1535
% 0.20/0.56  % (14322)Time elapsed: 0.003 s
% 0.20/0.56  % (14322)Instructions burned: 3 (million)
% 0.20/0.56  % (14322)------------------------------
% 0.20/0.56  % (14322)------------------------------
% 0.20/0.56  % (14314)Instruction limit reached!
% 0.20/0.56  % (14314)------------------------------
% 0.20/0.56  % (14314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (14314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (14314)Termination reason: Unknown
% 0.20/0.56  % (14314)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (14314)Memory used [KB]: 6140
% 0.20/0.56  % (14314)Time elapsed: 0.147 s
% 0.20/0.56  % (14314)Instructions burned: 12 (million)
% 0.20/0.56  % (14314)------------------------------
% 0.20/0.56  % (14314)------------------------------
% 0.20/0.56  % (14329)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.56  % (14319)Instruction limit reached!
% 0.20/0.56  % (14319)------------------------------
% 0.20/0.56  % (14319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (14319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (14319)Termination reason: Unknown
% 0.20/0.56  % (14319)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (14319)Memory used [KB]: 6012
% 0.20/0.56  % (14319)Time elapsed: 0.138 s
% 0.20/0.56  % (14319)Instructions burned: 8 (million)
% 0.20/0.56  % (14319)------------------------------
% 0.20/0.56  % (14319)------------------------------
% 0.20/0.56  % (14309)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.56  % (14324)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.56  % (14328)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (14315)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57  % (14311)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Theorem for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (14311)------------------------------
% 0.20/0.57  % (14311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (14311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (14311)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (14311)Memory used [KB]: 6268
% 0.20/0.57  % (14311)Time elapsed: 0.127 s
% 0.20/0.57  % (14311)Instructions burned: 15 (million)
% 0.20/0.57  % (14311)------------------------------
% 0.20/0.57  % (14311)------------------------------
% 0.20/0.57  % (14303)Success in time 0.204 s
%------------------------------------------------------------------------------