TSTP Solution File: SET189-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET189-6 : 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_sat --cores 0 -t %d %s

% Computer : n013.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 18:24:07 EDT 2022

% Result   : Unsatisfiable 0.14s 0.60s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   30 (  13 unt;   0 def)
%            Number of atoms       :   53 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  22   ~;  23   |;   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    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f363,plain,
    $false,
    inference(subsumption_resolution,[],[f361,f249]) ).

fof(f249,plain,
    member(not_subclass_element(x,y),universal_class),
    inference(resolution,[],[f248,f198]) ).

fof(f198,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/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

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

fof(f248,plain,
    member(not_subclass_element(x,y),x),
    inference(resolution,[],[f244,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(f244,plain,
    ~ subclass(x,y),
    inference(subsumption_resolution,[],[f243,f115]) ).

fof(f115,axiom,
    y != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_3) ).

fof(f243,plain,
    ( y = x
    | ~ subclass(x,y) ),
    inference(resolution,[],[f7,f114]) ).

fof(f114,axiom,
    subclass(y,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_2) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | ~ subclass(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f361,plain,
    ~ member(not_subclass_element(x,y),universal_class),
    inference(resolution,[],[f344,f24]) ).

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

fof(f344,plain,
    member(not_subclass_element(x,y),complement(universal_class)),
    inference(backward_demodulation,[],[f298,f324]) ).

fof(f324,plain,
    null_class = complement(universal_class),
    inference(duplicate_literal_removal,[],[f317]) ).

fof(f317,plain,
    ( null_class = complement(universal_class)
    | null_class = complement(universal_class) ),
    inference(resolution,[],[f185,f213]) ).

fof(f213,plain,
    ! [X0] :
      ( member(regular(X0),universal_class)
      | null_class = X0 ),
    inference(resolution,[],[f198,f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f185,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f66,f24]) ).

fof(f298,plain,
    member(not_subclass_element(x,y),null_class),
    inference(subsumption_resolution,[],[f297,f249]) ).

fof(f297,plain,
    ( ~ member(not_subclass_element(x,y),universal_class)
    | member(not_subclass_element(x,y),null_class) ),
    inference(subsumption_resolution,[],[f296,f247]) ).

fof(f247,plain,
    ~ member(not_subclass_element(x,y),y),
    inference(resolution,[],[f244,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(f296,plain,
    ( member(not_subclass_element(x,y),y)
    | ~ member(not_subclass_element(x,y),universal_class)
    | member(not_subclass_element(x,y),null_class) ),
    inference(resolution,[],[f290,f25]) ).

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

fof(f290,plain,
    ( ~ member(not_subclass_element(x,y),complement(y))
    | member(not_subclass_element(x,y),null_class) ),
    inference(resolution,[],[f285,f248]) ).

fof(f285,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | member(X0,null_class)
      | ~ member(X0,complement(y)) ),
    inference(superposition,[],[f23,f113]) ).

fof(f113,axiom,
    null_class = intersection(complement(y),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_1) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SET189-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n013.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.30  % CPULimit   : 300
% 0.14/0.30  % WCLimit    : 300
% 0.14/0.30  % DateTime   : Tue Aug 30 13:21:47 EDT 2022
% 0.14/0.30  % CPUTime    : 
% 0.14/0.41  % (14286)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.43  % (14307)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.43  % (14286)Instruction limit reached!
% 0.14/0.43  % (14286)------------------------------
% 0.14/0.43  % (14286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.44  % (14287)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.44  % (14289)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.44  % (14295)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.44  % (14281)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.44  % (14292)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.44  % (14286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.44  % (14286)Termination reason: Unknown
% 0.14/0.44  % (14286)Termination phase: Saturation
% 0.14/0.44  
% 0.14/0.44  % (14286)Memory used [KB]: 5628
% 0.14/0.44  % (14286)Time elapsed: 0.086 s
% 0.14/0.44  % (14286)Instructions burned: 7 (million)
% 0.14/0.44  % (14286)------------------------------
% 0.14/0.44  % (14286)------------------------------
% 0.14/0.44  % (14279)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.14/0.44  % (14282)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.45  % (14298)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.45  % (14287)Instruction limit reached!
% 0.14/0.45  % (14287)------------------------------
% 0.14/0.45  % (14287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.45  % (14287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.45  % (14287)Termination reason: Unknown
% 0.14/0.45  % (14287)Termination phase: Function definition elimination
% 0.14/0.45  
% 0.14/0.45  % (14287)Memory used [KB]: 1023
% 0.14/0.45  % (14287)Time elapsed: 0.003 s
% 0.14/0.45  % (14287)Instructions burned: 2 (million)
% 0.14/0.45  % (14287)------------------------------
% 0.14/0.45  % (14287)------------------------------
% 0.14/0.45  % (14294)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.46  % (14306)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.14/0.46  % (14296)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.46  % (14302)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.47  % (14293)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.47  % (14290)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.47  % (14280)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.48  % (14305)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.48  % (14297)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.48  % (14291)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.50  % (14284)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.14/0.50  % (14303)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.50  % (14288)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.51  % (14304)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.14/0.51  % (14285)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.51  % (14308)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.14/0.51  % (14283)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.52  % (14299)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.14/0.52  % (14289)Instruction limit reached!
% 0.14/0.52  % (14289)------------------------------
% 0.14/0.52  % (14289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52  % (14289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52  % (14289)Termination reason: Unknown
% 0.14/0.52  % (14289)Termination phase: Saturation
% 0.14/0.52  
% 0.14/0.52  % (14289)Memory used [KB]: 6652
% 0.14/0.52  % (14289)Time elapsed: 0.138 s
% 0.14/0.52  % (14289)Instructions burned: 52 (million)
% 0.14/0.52  % (14289)------------------------------
% 0.14/0.52  % (14289)------------------------------
% 0.14/0.53  % (14281)Instruction limit reached!
% 0.14/0.53  % (14281)------------------------------
% 0.14/0.53  % (14281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53  % (14281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53  % (14281)Termination reason: Unknown
% 0.14/0.53  % (14281)Termination phase: Saturation
% 0.14/0.53  
% 0.14/0.53  % (14281)Memory used [KB]: 1791
% 0.14/0.53  % (14281)Time elapsed: 0.175 s
% 0.14/0.53  % (14281)Instructions burned: 37 (million)
% 0.14/0.53  % (14281)------------------------------
% 0.14/0.53  % (14281)------------------------------
% 0.14/0.54  % (14300)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.54  % (14282)Instruction limit reached!
% 0.14/0.54  % (14282)------------------------------
% 0.14/0.54  % (14282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.54  % (14282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54  % (14282)Termination reason: Unknown
% 0.14/0.54  % (14282)Termination phase: Saturation
% 0.14/0.54  
% 0.14/0.54  % (14282)Memory used [KB]: 6652
% 0.14/0.54  % (14282)Time elapsed: 0.170 s
% 0.14/0.54  % (14282)Instructions burned: 51 (million)
% 0.14/0.54  % (14282)------------------------------
% 0.14/0.54  % (14282)------------------------------
% 0.14/0.55  % (14301)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.14/0.56  % (14280)Refutation not found, incomplete strategy% (14280)------------------------------
% 0.14/0.56  % (14280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56  % (14280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56  % (14280)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.56  
% 0.14/0.56  % (14280)Memory used [KB]: 6396
% 0.14/0.56  % (14280)Time elapsed: 0.191 s
% 0.14/0.56  % (14280)Instructions burned: 48 (million)
% 0.14/0.56  % (14280)------------------------------
% 0.14/0.56  % (14280)------------------------------
% 0.14/0.57  % (14296)Instruction limit reached!
% 0.14/0.57  % (14296)------------------------------
% 0.14/0.57  % (14296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.57  % (14296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.57  % (14296)Termination reason: Unknown
% 0.14/0.57  % (14296)Termination phase: Finite model building preprocessing
% 0.14/0.57  
% 0.14/0.57  % (14296)Memory used [KB]: 1663
% 0.14/0.57  % (14296)Time elapsed: 0.029 s
% 0.14/0.57  % (14296)Instructions burned: 59 (million)
% 0.14/0.57  % (14296)------------------------------
% 0.14/0.57  % (14296)------------------------------
% 0.14/0.59  % (14310)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 0.14/0.59  % (14309)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 0.14/0.60  % (14301)First to succeed.
% 0.14/0.60  % (14293)Also succeeded, but the first one will report.
% 0.14/0.60  % (14301)Refutation found. Thanks to Tanya!
% 0.14/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.60  % (14301)------------------------------
% 0.14/0.60  % (14301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.60  % (14301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.60  % (14301)Termination reason: Refutation
% 0.14/0.60  
% 0.14/0.60  % (14301)Memory used [KB]: 1151
% 0.14/0.60  % (14301)Time elapsed: 0.219 s
% 0.14/0.60  % (14301)Instructions burned: 15 (million)
% 0.14/0.60  % (14301)------------------------------
% 0.14/0.60  % (14301)------------------------------
% 0.14/0.60  % (14278)Success in time 0.29 s
%------------------------------------------------------------------------------