TSTP Solution File: SET013-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET013-1 : 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 : n017.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 18:18:20 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  22   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f155,plain,
    $false,
    inference(unit_resulting_resolution,[],[f151,f142,f152,f10]) ).

fof(f10,axiom,
    ! [X0,X4,X5] :
      ( member(X0,intersection(X4,X5))
      | ~ member(X0,X5)
      | ~ member(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).

fof(f152,plain,
    member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as),
    inference(resolution,[],[f143,f11]) ).

fof(f11,axiom,
    ! [X0,X4,X5] :
      ( ~ member(X0,intersection(X4,X5))
      | member(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).

fof(f143,plain,
    member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs)),
    inference(resolution,[],[f141,f3]) ).

fof(f3,axiom,
    ! [X2,X3] :
      ( subset(X2,X3)
      | member(member_of_1_not_of_2(X2,X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).

fof(f141,plain,
    ~ subset(intersection(as,bs),intersection(bs,as)),
    inference(subsumption_resolution,[],[f140,f128]) ).

fof(f128,plain,
    ( member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
    | ~ subset(intersection(as,bs),intersection(bs,as)) ),
    inference(resolution,[],[f32,f11]) ).

fof(f32,plain,
    ( member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
    | ~ subset(intersection(as,bs),intersection(bs,as)) ),
    inference(resolution,[],[f29,f3]) ).

fof(f29,plain,
    ( ~ subset(intersection(bs,as),intersection(as,bs))
    | ~ subset(intersection(as,bs),intersection(bs,as)) ),
    inference(resolution,[],[f15,f22]) ).

fof(f22,axiom,
    ~ equal_sets(intersection(as,bs),intersection(bs,as)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).

fof(f15,axiom,
    ! [X6,X7] :
      ( equal_sets(X7,X6)
      | ~ subset(X7,X6)
      | ~ subset(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).

fof(f140,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
    | ~ subset(intersection(as,bs),intersection(bs,as)) ),
    inference(subsumption_resolution,[],[f139,f127]) ).

fof(f127,plain,
    ( member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as)
    | ~ subset(intersection(as,bs),intersection(bs,as)) ),
    inference(resolution,[],[f32,f12]) ).

fof(f12,axiom,
    ! [X0,X4,X5] :
      ( ~ member(X0,intersection(X4,X5))
      | member(X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).

fof(f139,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as)
    | ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
    | ~ subset(intersection(as,bs),intersection(bs,as)) ),
    inference(resolution,[],[f10,f31]) ).

fof(f31,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(as,bs))
    | ~ subset(intersection(as,bs),intersection(bs,as)) ),
    inference(resolution,[],[f29,f4]) ).

fof(f4,axiom,
    ! [X2,X3] :
      ( subset(X2,X3)
      | ~ member(member_of_1_not_of_2(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).

fof(f142,plain,
    ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(bs,as)),
    inference(resolution,[],[f141,f4]) ).

fof(f151,plain,
    member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs),
    inference(resolution,[],[f143,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET013-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 12:15:50 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.48  % (7771)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)
% 0.18/0.49  % (7755)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)
% 0.18/0.49  % (7764)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.49  % (7755)Instruction limit reached!
% 0.18/0.49  % (7755)------------------------------
% 0.18/0.49  % (7755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (7764)Refutation not found, incomplete strategy% (7764)------------------------------
% 0.18/0.49  % (7764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (7756)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)
% 0.18/0.49  % (7764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (7764)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49  
% 0.18/0.49  % (7764)Memory used [KB]: 5884
% 0.18/0.49  % (7764)Time elapsed: 0.052 s
% 0.18/0.49  % (7764)Instructions burned: 1 (million)
% 0.18/0.49  % (7764)------------------------------
% 0.18/0.49  % (7764)------------------------------
% 0.18/0.49  % (7763)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.49  % (7755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (7755)Termination reason: Unknown
% 0.18/0.49  % (7755)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (7755)Memory used [KB]: 5884
% 0.18/0.49  % (7755)Time elapsed: 0.095 s
% 0.18/0.49  % (7755)Instructions burned: 3 (million)
% 0.18/0.49  % (7755)------------------------------
% 0.18/0.49  % (7755)------------------------------
% 0.18/0.49  % (7748)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.49  % (7763)Refutation not found, incomplete strategy% (7763)------------------------------
% 0.18/0.49  % (7763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (7763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (7763)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49  
% 0.18/0.49  % (7763)Memory used [KB]: 5756
% 0.18/0.49  % (7763)Time elapsed: 0.107 s
% 0.18/0.49  % (7763)Instructions burned: 1 (million)
% 0.18/0.49  % (7763)------------------------------
% 0.18/0.49  % (7763)------------------------------
% 0.18/0.50  % (7771)Refutation not found, incomplete strategy% (7771)------------------------------
% 0.18/0.50  % (7771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (7771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (7771)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (7771)Memory used [KB]: 5884
% 0.18/0.50  % (7771)Time elapsed: 0.105 s
% 0.18/0.50  % (7771)Instructions burned: 2 (million)
% 0.18/0.50  % (7771)------------------------------
% 0.18/0.50  % (7771)------------------------------
% 0.18/0.50  % (7753)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)
% 0.18/0.50  % (7754)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.50  % (7756)First to succeed.
% 0.18/0.51  % (7756)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (7756)------------------------------
% 0.18/0.51  % (7756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (7756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (7756)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (7756)Memory used [KB]: 1407
% 0.18/0.51  % (7756)Time elapsed: 0.068 s
% 0.18/0.51  % (7756)Instructions burned: 12 (million)
% 0.18/0.51  % (7756)------------------------------
% 0.18/0.51  % (7756)------------------------------
% 0.18/0.51  % (7741)Success in time 0.163 s
%------------------------------------------------------------------------------