TSTP Solution File: SET183-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET183-6 : 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 : n014.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 18:24:06 EDT 2022

% Result   : Unsatisfiable 1.54s 0.56s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            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 :   45 (  25   ~;  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   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f301,plain,
    $false,
    inference(subsumption_resolution,[],[f300,f251]) ).

fof(f251,plain,
    member(not_subclass_element(x,intersection(x,y)),x),
    inference(subsumption_resolution,[],[f249,f245]) ).

fof(f245,plain,
    ( ~ member(not_subclass_element(intersection(x,y),x),x)
    | member(not_subclass_element(x,intersection(x,y)),x) ),
    inference(resolution,[],[f238,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(f238,plain,
    ( ~ subclass(x,intersection(x,y))
    | ~ member(not_subclass_element(intersection(x,y),x),x) ),
    inference(resolution,[],[f219,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(f219,plain,
    ( ~ subclass(intersection(x,y),x)
    | ~ subclass(x,intersection(x,y)) ),
    inference(extensionality_resolution,[],[f7,f114]) ).

fof(f114,axiom,
    x != intersection(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property1_2) ).

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

fof(f249,plain,
    ( member(not_subclass_element(x,intersection(x,y)),x)
    | member(not_subclass_element(intersection(x,y),x),x) ),
    inference(resolution,[],[f247,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

fof(f247,plain,
    ( member(not_subclass_element(intersection(x,y),x),intersection(x,y))
    | member(not_subclass_element(x,intersection(x,y)),x) ),
    inference(resolution,[],[f239,f2]) ).

fof(f239,plain,
    ( ~ subclass(x,intersection(x,y))
    | member(not_subclass_element(intersection(x,y),x),intersection(x,y)) ),
    inference(resolution,[],[f219,f2]) ).

fof(f300,plain,
    ~ member(not_subclass_element(x,intersection(x,y)),x),
    inference(resolution,[],[f299,f207]) ).

fof(f207,plain,
    ! [X25] :
      ( member(X25,y)
      | ~ member(X25,x) ),
    inference(resolution,[],[f1,f113]) ).

fof(f113,axiom,
    subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property1_1) ).

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

fof(f299,plain,
    ~ member(not_subclass_element(x,intersection(x,y)),y),
    inference(subsumption_resolution,[],[f296,f251]) ).

fof(f296,plain,
    ( ~ member(not_subclass_element(x,intersection(x,y)),x)
    | ~ member(not_subclass_element(x,intersection(x,y)),y) ),
    inference(resolution,[],[f23,f255]) ).

fof(f255,plain,
    ~ member(not_subclass_element(x,intersection(x,y)),intersection(x,y)),
    inference(subsumption_resolution,[],[f253,f244]) ).

fof(f244,plain,
    ( ~ member(not_subclass_element(intersection(x,y),x),x)
    | ~ member(not_subclass_element(x,intersection(x,y)),intersection(x,y)) ),
    inference(resolution,[],[f238,f3]) ).

fof(f253,plain,
    ( member(not_subclass_element(intersection(x,y),x),x)
    | ~ member(not_subclass_element(x,intersection(x,y)),intersection(x,y)) ),
    inference(resolution,[],[f246,f21]) ).

fof(f246,plain,
    ( member(not_subclass_element(intersection(x,y),x),intersection(x,y))
    | ~ member(not_subclass_element(x,intersection(x,y)),intersection(x,y)) ),
    inference(resolution,[],[f239,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
% 0.03/0.13  % Problem    : SET183-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 13:25:48 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (31738)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)
% 0.20/0.52  % (31740)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)
% 0.20/0.53  % (31748)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)
% 1.38/0.53  % (31751)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)
% 1.38/0.53  % (31732)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)
% 1.38/0.54  % (31743)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)
% 1.38/0.54  % (31735)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)
% 1.38/0.54  % (31737)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.38/0.54  % (31736)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.54  % (31739)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.54  % (31737)Instruction limit reached!
% 1.38/0.54  % (31737)------------------------------
% 1.38/0.54  % (31737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (31737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (31737)Termination reason: Unknown
% 1.38/0.54  % (31737)Termination phase: Function definition elimination
% 1.38/0.54  
% 1.38/0.54  % (31737)Memory used [KB]: 1023
% 1.38/0.54  % (31737)Time elapsed: 0.002 s
% 1.38/0.54  % (31737)Instructions burned: 3 (million)
% 1.38/0.54  % (31737)------------------------------
% 1.38/0.54  % (31737)------------------------------
% 1.38/0.54  % (31734)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)
% 1.38/0.54  % (31729)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)
% 1.38/0.54  % (31736)Instruction limit reached!
% 1.38/0.54  % (31736)------------------------------
% 1.38/0.54  % (31736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (31736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (31736)Termination reason: Unknown
% 1.38/0.54  % (31736)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (31736)Memory used [KB]: 5500
% 1.38/0.54  % (31736)Time elapsed: 0.140 s
% 1.38/0.54  % (31736)Instructions burned: 7 (million)
% 1.38/0.54  % (31736)------------------------------
% 1.38/0.54  % (31736)------------------------------
% 1.38/0.55  % (31754)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.38/0.55  % (31756)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)
% 1.38/0.55  % (31752)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)
% 1.38/0.55  % (31749)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)
% 1.38/0.55  % (31755)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)
% 1.38/0.55  % (31750)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.54/0.55  % (31751)First to succeed.
% 1.54/0.55  % (31746)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.54/0.56  % (31753)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.54/0.56  % (31751)Refutation found. Thanks to Tanya!
% 1.54/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.54/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.56  % (31751)------------------------------
% 1.54/0.56  % (31751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (31751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (31751)Termination reason: Refutation
% 1.54/0.56  
% 1.54/0.56  % (31751)Memory used [KB]: 1151
% 1.54/0.56  % (31751)Time elapsed: 0.091 s
% 1.54/0.56  % (31751)Instructions burned: 13 (million)
% 1.54/0.56  % (31751)------------------------------
% 1.54/0.56  % (31751)------------------------------
% 1.54/0.56  % (31728)Success in time 0.194 s
%------------------------------------------------------------------------------