TSTP Solution File: SET191-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET191-6 : 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 : n022.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 18:19:43 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   48 (   3 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   53 (  28   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f233,plain,
    $false,
    inference(unit_resulting_resolution,[],[f4,f183,f231,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | member(X2,X1)
      | ~ member(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f231,plain,
    ~ member(not_subclass_element(x,y),universal_class),
    inference(subsumption_resolution,[],[f230,f183]) ).

fof(f230,plain,
    ( ~ member(not_subclass_element(x,y),universal_class)
    | ~ member(not_subclass_element(x,y),x) ),
    inference(resolution,[],[f229,f182]) ).

fof(f182,plain,
    ~ member(not_subclass_element(x,y),y),
    inference(resolution,[],[f114,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f114,axiom,
    ~ subclass(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property8_2) ).

fof(f229,plain,
    ! [X0] :
      ( member(X0,y)
      | ~ member(X0,x)
      | ~ member(X0,universal_class) ),
    inference(resolution,[],[f212,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f212,plain,
    ! [X0] :
      ( member(X0,complement(x))
      | member(X0,y)
      | ~ member(X0,universal_class) ),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( member(X0,complement(x))
      | member(X0,y)
      | ~ member(X0,universal_class)
      | ~ member(X0,universal_class) ),
    inference(resolution,[],[f198,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | ~ member(X4,universal_class)
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

fof(f198,plain,
    ! [X0] :
      ( ~ member(X0,complement(y))
      | ~ member(X0,universal_class)
      | member(X0,complement(x)) ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | ~ member(X0,complement(y))
      | ~ member(X0,universal_class)
      | member(X0,complement(x)) ),
    inference(resolution,[],[f188,f25]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ member(X0,complement(complement(x)))
      | ~ member(X0,complement(y))
      | ~ member(X0,universal_class) ),
    inference(resolution,[],[f184,f23]) ).

fof(f23,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
      | ~ member(X4,X0)
      | ~ member(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).

fof(f184,plain,
    ! [X0] :
      ( ~ member(X0,intersection(complement(complement(x)),complement(y)))
      | ~ member(X0,universal_class) ),
    inference(superposition,[],[f24,f130]) ).

fof(f130,plain,
    universal_class = complement(intersection(complement(complement(x)),complement(y))),
    inference(definition_unfolding,[],[f113,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).

fof(f113,axiom,
    universal_class = union(complement(x),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property8_1) ).

fof(f183,plain,
    member(not_subclass_element(x,y),x),
    inference(resolution,[],[f114,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET191-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.12/0.34  % Computer : n022.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 13:27:11 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (4197)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.50  % (4173)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)
% 0.19/0.50  % (4182)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)
% 0.19/0.51  % (4189)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.51  % (4182)Instruction limit reached!
% 0.19/0.51  % (4182)------------------------------
% 0.19/0.51  % (4182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (4197)Refutation not found, incomplete strategy% (4197)------------------------------
% 0.19/0.52  % (4197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (4182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (4182)Termination reason: Unknown
% 0.19/0.52  % (4182)Termination phase: Property scanning
% 0.19/0.52  
% 0.19/0.52  % (4182)Memory used [KB]: 1407
% 0.19/0.52  % (4182)Time elapsed: 0.005 s
% 0.19/0.52  % (4182)Instructions burned: 7 (million)
% 0.19/0.52  % (4182)------------------------------
% 0.19/0.52  % (4182)------------------------------
% 0.19/0.52  % (4192)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52  % (4189)Instruction limit reached!
% 0.19/0.52  % (4189)------------------------------
% 0.19/0.52  % (4189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (4189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (4189)Termination reason: Unknown
% 0.19/0.52  % (4189)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (4189)Memory used [KB]: 6140
% 0.19/0.52  % (4189)Time elapsed: 0.006 s
% 0.19/0.52  % (4189)Instructions burned: 9 (million)
% 0.19/0.52  % (4189)------------------------------
% 0.19/0.52  % (4189)------------------------------
% 0.19/0.52  % (4197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (4197)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (4197)Memory used [KB]: 6140
% 0.19/0.52  % (4197)Time elapsed: 0.121 s
% 0.19/0.52  % (4197)Instructions burned: 10 (million)
% 0.19/0.52  % (4197)------------------------------
% 0.19/0.52  % (4197)------------------------------
% 0.19/0.52  % (4177)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (4176)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.53  % (4174)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.53  % (4176)Refutation not found, incomplete strategy% (4176)------------------------------
% 0.19/0.53  % (4176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4176)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (4176)Memory used [KB]: 5884
% 0.19/0.53  % (4176)Time elapsed: 0.131 s
% 0.19/0.53  % (4176)Instructions burned: 2 (million)
% 0.19/0.53  % (4176)------------------------------
% 0.19/0.53  % (4176)------------------------------
% 0.19/0.53  % (4174)Instruction limit reached!
% 0.19/0.53  % (4174)------------------------------
% 0.19/0.53  % (4174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4174)Termination reason: Unknown
% 0.19/0.53  % (4174)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (4174)Memory used [KB]: 1407
% 0.19/0.53  % (4174)Time elapsed: 0.003 s
% 0.19/0.53  % (4174)Instructions burned: 4 (million)
% 0.19/0.53  % (4174)------------------------------
% 0.19/0.53  % (4174)------------------------------
% 0.19/0.53  % (4175)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53  % (4199)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)
% 0.19/0.53  % (4175)Refutation not found, incomplete strategy% (4175)------------------------------
% 0.19/0.53  % (4175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4175)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (4175)Memory used [KB]: 5884
% 0.19/0.53  % (4175)Time elapsed: 0.128 s
% 0.19/0.53  % (4175)Instructions burned: 2 (million)
% 0.19/0.53  % (4175)------------------------------
% 0.19/0.53  % (4175)------------------------------
% 0.19/0.53  % (4180)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (4185)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)
% 0.19/0.53  % (4188)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (4180)Instruction limit reached!
% 0.19/0.53  % (4180)------------------------------
% 0.19/0.53  % (4180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4180)Termination reason: Unknown
% 0.19/0.53  % (4180)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (4180)Memory used [KB]: 1407
% 0.19/0.53  % (4180)Time elapsed: 0.003 s
% 0.19/0.53  % (4180)Instructions burned: 4 (million)
% 0.19/0.53  % (4180)------------------------------
% 0.19/0.53  % (4180)------------------------------
% 0.19/0.54  % (4185)Instruction limit reached!
% 0.19/0.54  % (4185)------------------------------
% 0.19/0.54  % (4185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4185)Termination reason: Unknown
% 0.19/0.54  % (4185)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (4185)Memory used [KB]: 1407
% 0.19/0.54  % (4185)Time elapsed: 0.003 s
% 0.19/0.54  % (4185)Instructions burned: 5 (million)
% 0.19/0.54  % (4185)------------------------------
% 0.19/0.54  % (4185)------------------------------
% 0.19/0.54  % (4199)Refutation not found, incomplete strategy% (4199)------------------------------
% 0.19/0.54  % (4199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4199)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (4199)Memory used [KB]: 1407
% 0.19/0.54  % (4188)Instruction limit reached!
% 0.19/0.54  % (4188)------------------------------
% 0.19/0.54  % (4188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4188)Termination reason: Unknown
% 0.19/0.54  % (4188)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (4188)Memory used [KB]: 1407
% 0.19/0.54  % (4188)Time elapsed: 0.003 s
% 0.19/0.54  % (4188)Instructions burned: 4 (million)
% 0.19/0.54  % (4188)------------------------------
% 0.19/0.54  % (4188)------------------------------
% 0.19/0.54  % (4199)Time elapsed: 0.131 s
% 0.19/0.54  % (4199)Instructions burned: 3 (million)
% 0.19/0.54  % (4199)------------------------------
% 0.19/0.54  % (4199)------------------------------
% 0.19/0.54  % (4192)Instruction limit reached!
% 0.19/0.54  % (4192)------------------------------
% 0.19/0.54  % (4192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4172)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.54  % (4192)Termination reason: Unknown
% 0.19/0.54  % (4192)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (4192)Memory used [KB]: 1535
% 0.19/0.54  % (4192)Time elapsed: 0.005 s
% 0.19/0.54  % (4192)Instructions burned: 7 (million)
% 0.19/0.54  % (4192)------------------------------
% 0.19/0.54  % (4192)------------------------------
% 0.19/0.54  % (4186)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)
% 0.19/0.54  % (4173)First to succeed.
% 0.19/0.54  % (4173)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (4173)------------------------------
% 0.19/0.54  % (4173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4173)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (4173)Memory used [KB]: 1918
% 0.19/0.54  % (4173)Time elapsed: 0.134 s
% 0.19/0.54  % (4173)Instructions burned: 19 (million)
% 0.19/0.54  % (4173)------------------------------
% 0.19/0.54  % (4173)------------------------------
% 0.19/0.54  % (4171)Success in time 0.187 s
%------------------------------------------------------------------------------