TSTP Solution File: SET147-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET147-6 : 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 : n023.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 18:23:57 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (   7 unt;   0 def)
%            Number of atoms       :   44 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   44 (  24   ~;  20   |;   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f295,plain,
    $false,
    inference(subsumption_resolution,[],[f294,f247]) ).

fof(f247,plain,
    member(not_subclass_element(x,intersection(universal_class,x)),universal_class),
    inference(resolution,[],[f242,f192]) ).

fof(f192,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(f242,plain,
    member(not_subclass_element(x,intersection(universal_class,x)),x),
    inference(subsumption_resolution,[],[f239,f236]) ).

fof(f236,plain,
    ( ~ member(not_subclass_element(intersection(universal_class,x),x),x)
    | member(not_subclass_element(x,intersection(universal_class,x)),x) ),
    inference(resolution,[],[f233,f2]) ).

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(f233,plain,
    ( ~ subclass(x,intersection(universal_class,x))
    | ~ member(not_subclass_element(intersection(universal_class,x),x),x) ),
    inference(resolution,[],[f217,f3]) ).

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

fof(f217,plain,
    ( ~ subclass(intersection(universal_class,x),x)
    | ~ subclass(x,intersection(universal_class,x)) ),
    inference(extensionality_resolution,[],[f7,f113]) ).

fof(f113,axiom,
    x != intersection(universal_class,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_for_intersection_1) ).

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

fof(f239,plain,
    ( member(not_subclass_element(intersection(universal_class,x),x),x)
    | member(not_subclass_element(x,intersection(universal_class,x)),x) ),
    inference(resolution,[],[f238,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).

fof(f238,plain,
    ( member(not_subclass_element(intersection(universal_class,x),x),intersection(universal_class,x))
    | member(not_subclass_element(x,intersection(universal_class,x)),x) ),
    inference(resolution,[],[f234,f2]) ).

fof(f234,plain,
    ( ~ subclass(x,intersection(universal_class,x))
    | member(not_subclass_element(intersection(universal_class,x),x),intersection(universal_class,x)) ),
    inference(resolution,[],[f217,f2]) ).

fof(f294,plain,
    ~ member(not_subclass_element(x,intersection(universal_class,x)),universal_class),
    inference(subsumption_resolution,[],[f290,f242]) ).

fof(f290,plain,
    ( ~ member(not_subclass_element(x,intersection(universal_class,x)),x)
    | ~ member(not_subclass_element(x,intersection(universal_class,x)),universal_class) ),
    inference(resolution,[],[f23,f246]) ).

fof(f246,plain,
    ~ member(not_subclass_element(x,intersection(universal_class,x)),intersection(universal_class,x)),
    inference(subsumption_resolution,[],[f243,f235]) ).

fof(f235,plain,
    ( ~ member(not_subclass_element(intersection(universal_class,x),x),x)
    | ~ member(not_subclass_element(x,intersection(universal_class,x)),intersection(universal_class,x)) ),
    inference(resolution,[],[f233,f3]) ).

fof(f243,plain,
    ( ~ member(not_subclass_element(x,intersection(universal_class,x)),intersection(universal_class,x))
    | member(not_subclass_element(intersection(universal_class,x),x),x) ),
    inference(resolution,[],[f237,f22]) ).

fof(f237,plain,
    ( member(not_subclass_element(intersection(universal_class,x),x),intersection(universal_class,x))
    | ~ member(not_subclass_element(x,intersection(universal_class,x)),intersection(universal_class,x)) ),
    inference(resolution,[],[f234,f3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET147-6 : 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_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n023.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 13:44:05 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.46  % (21444)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)
% 0.20/0.48  % (21455)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)
% 0.20/0.50  % (21448)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (21436)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)
% 0.20/0.52  % (21457)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)
% 0.20/0.52  % (21439)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (21437)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)
% 0.20/0.52  % (21449)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)
% 0.20/0.52  % (21438)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)
% 0.20/0.52  % (21447)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (21444)Instruction limit reached!
% 0.20/0.52  % (21444)------------------------------
% 0.20/0.52  % (21444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (21444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (21444)Termination reason: Unknown
% 0.20/0.52  % (21444)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (21444)Memory used [KB]: 2174
% 0.20/0.53  % (21444)Time elapsed: 0.120 s
% 0.20/0.53  % (21444)Instructions burned: 52 (million)
% 0.20/0.53  % (21444)------------------------------
% 0.20/0.53  % (21444)------------------------------
% 0.20/0.53  % (21440)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)
% 0.20/0.53  % (21463)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (21458)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)
% 0.20/0.53  % (21462)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)
% 0.20/0.53  % (21445)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (21435)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)
% 0.20/0.53  % (21441)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)
% 0.20/0.53  % (21461)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)
% 0.20/0.53  % (21452)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53  % (21454)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)
% 0.20/0.53  % (21451)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)
% 0.20/0.54  % (21442)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (21464)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)
% 0.20/0.54  % (21453)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (21446)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)
% 0.20/0.54  % (21442)Instruction limit reached!
% 0.20/0.54  % (21442)------------------------------
% 0.20/0.54  % (21442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (21442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (21442)Termination reason: Unknown
% 0.20/0.54  % (21442)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (21442)Memory used [KB]: 5500
% 0.20/0.54  % (21442)Time elapsed: 0.147 s
% 0.20/0.54  % (21442)Instructions burned: 7 (million)
% 0.20/0.54  % (21442)------------------------------
% 0.20/0.54  % (21442)------------------------------
% 0.20/0.54  % (21459)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (21450)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)
% 0.20/0.54  % (21460)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (21456)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (21443)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (21443)Instruction limit reached!
% 0.20/0.55  % (21443)------------------------------
% 0.20/0.55  % (21443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21443)Termination reason: Unknown
% 0.20/0.55  % (21443)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (21443)Memory used [KB]: 1023
% 0.20/0.55  % (21443)Time elapsed: 0.004 s
% 0.20/0.55  % (21443)Instructions burned: 4 (million)
% 0.20/0.55  % (21443)------------------------------
% 0.20/0.55  % (21443)------------------------------
% 0.20/0.55  % (21457)First to succeed.
% 0.20/0.55  % (21457)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (21457)------------------------------
% 0.20/0.55  % (21457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (21457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (21457)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (21457)Memory used [KB]: 1151
% 0.20/0.55  % (21457)Time elapsed: 0.116 s
% 0.20/0.55  % (21457)Instructions burned: 12 (million)
% 0.20/0.55  % (21457)------------------------------
% 0.20/0.55  % (21457)------------------------------
% 0.20/0.55  % (21434)Success in time 0.206 s
%------------------------------------------------------------------------------