TSTP Solution File: SET027-4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET027-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : n018.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 18:18:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   6   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,plain,
    $false,
    inference(subsumption_resolution,[],[f344,f144]) ).

fof(f144,axiom,
    ~ subset(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_subset_c) ).

fof(f344,plain,
    subset(a,c),
    inference(duplicate_literal_removal,[],[f341]) ).

fof(f341,plain,
    ( subset(a,c)
    | subset(a,c) ),
    inference(resolution,[],[f278,f69]) ).

fof(f69,axiom,
    ! [X0,X1] :
      ( ~ member(f17(X0,X1),X1)
      | subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset3) ).

fof(f278,plain,
    ! [X0] :
      ( member(f17(a,X0),c)
      | subset(a,X0) ),
    inference(resolution,[],[f184,f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ member(X0,b)
      | member(X0,c) ),
    inference(resolution,[],[f143,f67]) ).

fof(f67,axiom,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | member(X2,X1)
      | ~ member(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset1) ).

fof(f143,axiom,
    subset(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_c) ).

fof(f184,plain,
    ! [X12] :
      ( member(f17(a,X12),b)
      | subset(a,X12) ),
    inference(resolution,[],[f160,f68]) ).

fof(f68,axiom,
    ! [X0,X1] :
      ( member(f17(X0,X1),X0)
      | subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset2) ).

fof(f160,plain,
    ! [X0] :
      ( ~ member(X0,a)
      | member(X0,b) ),
    inference(resolution,[],[f142,f67]) ).

fof(f142,axiom,
    subset(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET027-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 13:01:10 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.51  % (28176)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (28177)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (28176)First to succeed.
% 0.20/0.51  % (28172)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51  % (28168)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)
% 0.20/0.52  % (28193)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.52  % (28178)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (28190)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (28194)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.52  % (28181)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.53  % (28176)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (28176)------------------------------
% 0.20/0.53  % (28176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (28176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (28176)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (28176)Memory used [KB]: 6140
% 0.20/0.53  % (28176)Time elapsed: 0.103 s
% 0.20/0.53  % (28176)Instructions burned: 8 (million)
% 0.20/0.53  % (28176)------------------------------
% 0.20/0.53  % (28176)------------------------------
% 0.20/0.53  % (28162)Success in time 0.174 s
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