TSTP Solution File: SET014-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET014-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : 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 18:18:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f54,plain,
    $false,
    inference(subsumption_resolution,[],[f49,f35]) ).

fof(f35,plain,
    ~ member(member_of_1_not_of_2(union(as,bs),cs),bs),
    inference(unit_resulting_resolution,[],[f28,f23,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1] :
      ( ~ subset(X2,X3)
      | ~ member(X1,X2)
      | member(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',membership_in_subsets) ).

fof(f23,axiom,
    subset(bs,cs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_of_c) ).

fof(f28,plain,
    ~ member(member_of_1_not_of_2(union(as,bs),cs),cs),
    inference(unit_resulting_resolution,[],[f24,f4]) ).

fof(f4,axiom,
    ! [X2,X3] :
      ( ~ member(member_of_1_not_of_2(X2,X3),X3)
      | subset(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom2) ).

fof(f24,axiom,
    ~ subset(union(as,bs),cs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).

fof(f49,plain,
    member(member_of_1_not_of_2(union(as,bs),cs),bs),
    inference(unit_resulting_resolution,[],[f27,f34,f9]) ).

fof(f9,axiom,
    ! [X0,X4,X5] :
      ( ~ member(X0,union(X4,X5))
      | member(X0,X5)
      | member(X0,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).

fof(f34,plain,
    ~ member(member_of_1_not_of_2(union(as,bs),cs),as),
    inference(unit_resulting_resolution,[],[f28,f22,f2]) ).

fof(f22,axiom,
    subset(as,cs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_of_c) ).

fof(f27,plain,
    member(member_of_1_not_of_2(union(as,bs),cs),union(as,bs)),
    inference(unit_resulting_resolution,[],[f24,f3]) ).

fof(f3,axiom,
    ! [X2,X3] :
      ( member(member_of_1_not_of_2(X2,X3),X2)
      | subset(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET014-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % 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 : n009.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 12:49:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.45  % (15454)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)
% 0.20/0.47  % (15454)Refutation not found, incomplete strategy% (15454)------------------------------
% 0.20/0.47  % (15454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (15454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (15454)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47  
% 0.20/0.47  % (15454)Memory used [KB]: 5884
% 0.20/0.47  % (15454)Time elapsed: 0.085 s
% 0.20/0.47  % (15454)Instructions burned: 2 (million)
% 0.20/0.47  % (15454)------------------------------
% 0.20/0.47  % (15454)------------------------------
% 0.20/0.48  % (15445)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.48  % (15462)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.49  % (15455)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)
% 0.20/0.49  % (15462)Instruction limit reached!
% 0.20/0.49  % (15462)------------------------------
% 0.20/0.49  % (15462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (15462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (15462)Termination reason: Unknown
% 0.20/0.50  % (15462)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (15462)Memory used [KB]: 6012
% 0.20/0.50  % (15462)Time elapsed: 0.111 s
% 0.20/0.50  % (15462)Instructions burned: 8 (million)
% 0.20/0.50  % (15462)------------------------------
% 0.20/0.50  % (15462)------------------------------
% 0.20/0.50  % (15446)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  % (15455)First to succeed.
% 0.20/0.50  % (15455)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  % (15455)------------------------------
% 0.20/0.50  % (15455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (15455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (15455)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (15455)Memory used [KB]: 5884
% 0.20/0.50  % (15455)Time elapsed: 0.103 s
% 0.20/0.50  % (15455)Instructions burned: 3 (million)
% 0.20/0.50  % (15455)------------------------------
% 0.20/0.50  % (15455)------------------------------
% 0.20/0.50  % (15443)Success in time 0.153 s
%------------------------------------------------------------------------------