TSTP Solution File: SET062-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET062-6 : 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 : n010.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 18:18:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   26 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   8   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f275,plain,
    $false,
    inference(subsumption_resolution,[],[f273,f261]) ).

fof(f261,plain,
    member(not_subclass_element(complement(universal_class),x),universal_class),
    inference(backward_demodulation,[],[f185,f250]) ).

fof(f250,plain,
    null_class = complement(universal_class),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f246,plain,
    ( null_class = complement(universal_class)
    | null_class = complement(universal_class) ),
    inference(resolution,[],[f147,f180]) ).

fof(f180,plain,
    ! [X0] :
      ( member(regular(X0),universal_class)
      | null_class = X0 ),
    inference(resolution,[],[f158,f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[],[f1,f4]) ).

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

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

fof(f147,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f66,f24]) ).

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

fof(f185,plain,
    member(not_subclass_element(null_class,x),universal_class),
    inference(resolution,[],[f158,f148]) ).

fof(f148,plain,
    member(not_subclass_element(null_class,x),null_class),
    inference(resolution,[],[f2,f92]) ).

fof(f92,axiom,
    ~ subclass(null_class,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_subclass_1) ).

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

fof(f273,plain,
    ~ member(not_subclass_element(complement(universal_class),x),universal_class),
    inference(resolution,[],[f258,f24]) ).

fof(f258,plain,
    member(not_subclass_element(complement(universal_class),x),complement(universal_class)),
    inference(backward_demodulation,[],[f148,f250]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET062-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 12:57:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (7436)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)
% 0.19/0.51  % (7428)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52  % (7418)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)
% 0.19/0.52  % (7428)Instruction limit reached!
% 0.19/0.52  % (7428)------------------------------
% 0.19/0.52  % (7428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7428)Termination reason: Unknown
% 0.19/0.52  % (7428)Termination phase: Finite model building preprocessing
% 0.19/0.52  
% 0.19/0.52  % (7428)Memory used [KB]: 1535
% 0.19/0.52  % (7428)Time elapsed: 0.006 s
% 0.19/0.52  % (7428)Instructions burned: 6 (million)
% 0.19/0.52  % (7428)------------------------------
% 0.19/0.52  % (7428)------------------------------
% 0.19/0.52  % (7425)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)
% 0.19/0.52  % (7412)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53  % (7421)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)
% 0.19/0.53  % (7413)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)
% 0.19/0.53  % (7418)First to succeed.
% 0.19/0.53  % (7421)Refutation not found, incomplete strategy% (7421)------------------------------
% 0.19/0.53  % (7421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7417)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  % (7421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (7421)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (7414)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  % (7421)Memory used [KB]: 6012
% 0.19/0.53  % (7421)Time elapsed: 0.127 s
% 0.19/0.53  % (7421)Instructions burned: 4 (million)
% 0.19/0.53  % (7421)------------------------------
% 0.19/0.53  % (7421)------------------------------
% 0.19/0.53  % (7416)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  % (7425)Instruction limit reached!
% 0.19/0.53  % (7425)------------------------------
% 0.19/0.53  % (7425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (7425)Termination reason: Unknown
% 0.19/0.53  % (7425)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (7425)Memory used [KB]: 6012
% 0.19/0.53  % (7425)Time elapsed: 0.005 s
% 0.19/0.53  % (7425)Instructions burned: 6 (million)
% 0.19/0.53  % (7425)------------------------------
% 0.19/0.53  % (7425)------------------------------
% 0.19/0.53  % (7416)Refutation not found, incomplete strategy% (7416)------------------------------
% 0.19/0.53  % (7416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (7416)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (7416)Memory used [KB]: 5884
% 0.19/0.53  % (7416)Time elapsed: 0.130 s
% 0.19/0.53  % (7416)Instructions burned: 2 (million)
% 0.19/0.53  % (7416)------------------------------
% 0.19/0.53  % (7416)------------------------------
% 0.19/0.53  % (7414)Instruction limit reached!
% 0.19/0.53  % (7414)------------------------------
% 0.19/0.53  % (7414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (7414)Termination reason: Unknown
% 0.19/0.53  % (7414)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (7414)Memory used [KB]: 1407
% 0.19/0.53  % (7414)Time elapsed: 0.004 s
% 0.19/0.53  % (7414)Instructions burned: 6 (million)
% 0.19/0.53  % (7414)------------------------------
% 0.19/0.53  % (7414)------------------------------
% 0.19/0.53  % (7415)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  % (7430)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54  % (7430)Instruction limit reached!
% 0.19/0.54  % (7430)------------------------------
% 0.19/0.54  % (7430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7430)Termination reason: Unknown
% 0.19/0.54  % (7430)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (7430)Memory used [KB]: 6140
% 0.19/0.54  % (7430)Time elapsed: 0.137 s
% 0.19/0.54  % (7430)Instructions burned: 8 (million)
% 0.19/0.54  % (7430)------------------------------
% 0.19/0.54  % (7430)------------------------------
% 0.19/0.54  % (7433)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)
% 0.19/0.54  % (7420)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)
% 0.19/0.54  % (7419)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (7441)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.54  % (7419)Refutation not found, incomplete strategy% (7419)------------------------------
% 0.19/0.54  % (7419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7431)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.54  % (7429)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)
% 0.19/0.54  % (7429)Instruction limit reached!
% 0.19/0.54  % (7429)------------------------------
% 0.19/0.54  % (7429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7429)Termination reason: Unknown
% 0.19/0.54  % (7429)Termination phase: Function definition elimination
% 0.19/0.54  
% 0.19/0.54  % (7429)Memory used [KB]: 1407
% 0.19/0.54  % (7429)Time elapsed: 0.003 s
% 0.19/0.54  % (7429)Instructions burned: 2 (million)
% 0.19/0.54  % (7429)------------------------------
% 0.19/0.54  % (7429)------------------------------
% 0.19/0.54  % (7424)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)
% 0.19/0.54  % (7413)Refutation not found, incomplete strategy% (7413)------------------------------
% 0.19/0.54  % (7413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7422)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)
% 0.19/0.54  % (7439)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)
% 0.19/0.54  % (7418)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  % (7418)------------------------------
% 0.19/0.54  % (7418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7418)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (7418)Memory used [KB]: 1535
% 0.19/0.54  % (7418)Time elapsed: 0.087 s
% 0.19/0.54  % (7418)Instructions burned: 11 (million)
% 0.19/0.54  % (7418)------------------------------
% 0.19/0.54  % (7418)------------------------------
% 0.19/0.54  % (7410)Success in time 0.189 s
%------------------------------------------------------------------------------