TSTP Solution File: SET096-7 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET096-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 : Tue May 21 03:08:48 EDT 2024

% Result   : Unsatisfiable 0.73s 0.91s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   25 (  17 unt;   0 def)
%            Number of atoms       :   35 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  15   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f875,plain,
    $false,
    inference(subsumption_resolution,[],[f865,f179]) ).

fof(f179,plain,
    sP0(x),
    inference(inequality_splitting,[],[f174,f178]) ).

fof(f178,plain,
    ~ sP0(unordered_pair(y,y)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f174,plain,
    x != unordered_pair(y,y),
    inference(definition_unfolding,[],[f142,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f142,axiom,
    x != singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).

fof(f865,plain,
    ~ sP0(x),
    inference(backward_demodulation,[],[f178,f863]) ).

fof(f863,plain,
    x = unordered_pair(y,y),
    inference(unit_resulting_resolution,[],[f173,f818,f7]) ).

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

fof(f818,plain,
    subclass(unordered_pair(y,y),x),
    inference(backward_demodulation,[],[f383,f803]) ).

fof(f803,plain,
    y = not_subclass_element(x,null_class),
    inference(unit_resulting_resolution,[],[f625,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X0))
      | X0 = X1 ),
    inference(definition_unfolding,[],[f125,f12]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | ~ member(X1,singleton(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

fof(f625,plain,
    member(not_subclass_element(x,null_class),unordered_pair(y,y)),
    inference(unit_resulting_resolution,[],[f197,f173,f1]) ).

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(f197,plain,
    member(not_subclass_element(x,null_class),x),
    inference(unit_resulting_resolution,[],[f182,f2]) ).

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

fof(f182,plain,
    ~ subclass(x,null_class),
    inference(unit_resulting_resolution,[],[f141,f105]) ).

fof(f105,axiom,
    ! [X0] :
      ( ~ subclass(X0,null_class)
      | null_class = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).

fof(f141,axiom,
    null_class != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).

fof(f383,plain,
    subclass(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)),x),
    inference(unit_resulting_resolution,[],[f197,f172]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( subclass(unordered_pair(X0,X0),X1)
      | ~ member(X0,X1) ),
    inference(definition_unfolding,[],[f139,f12]) ).

fof(f139,axiom,
    ! [X0,X1] :
      ( subclass(singleton(X0),X1)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_singletons2) ).

fof(f173,plain,
    subclass(x,unordered_pair(y,y)),
    inference(definition_unfolding,[],[f140,f12]) ).

fof(f140,axiom,
    subclass(x,singleton(y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET096-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 12:05:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.87  % (23149)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.72/0.87  % (23151)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.72/0.87  % (23152)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.72/0.87  % (23150)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.72/0.87  % (23153)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.72/0.87  % (23154)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.72/0.87  % (23155)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.72/0.87  % (23156)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.73/0.89  % (23152)Instruction limit reached!
% 0.73/0.89  % (23152)------------------------------
% 0.73/0.89  % (23152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (23152)Termination reason: Unknown
% 0.73/0.89  % (23152)Termination phase: Saturation
% 0.73/0.89  
% 0.73/0.89  % (23152)Memory used [KB]: 1409
% 0.73/0.89  % (23152)Time elapsed: 0.020 s
% 0.73/0.89  % (23152)Instructions burned: 34 (million)
% 0.73/0.89  % (23152)------------------------------
% 0.73/0.89  % (23152)------------------------------
% 0.73/0.89  % (23149)Instruction limit reached!
% 0.73/0.89  % (23149)------------------------------
% 0.73/0.89  % (23149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (23149)Termination reason: Unknown
% 0.73/0.89  % (23149)Termination phase: Saturation
% 0.73/0.89  
% 0.73/0.89  % (23149)Memory used [KB]: 1376
% 0.73/0.89  % (23149)Time elapsed: 0.021 s
% 0.73/0.89  % (23149)Instructions burned: 34 (million)
% 0.73/0.89  % (23149)------------------------------
% 0.73/0.89  % (23149)------------------------------
% 0.73/0.89  % (23153)Instruction limit reached!
% 0.73/0.89  % (23153)------------------------------
% 0.73/0.89  % (23153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (23153)Termination reason: Unknown
% 0.73/0.89  % (23153)Termination phase: Saturation
% 0.73/0.89  
% 0.73/0.89  % (23153)Memory used [KB]: 1484
% 0.73/0.89  % (23153)Time elapsed: 0.021 s
% 0.73/0.89  % (23153)Instructions burned: 35 (million)
% 0.73/0.89  % (23153)------------------------------
% 0.73/0.89  % (23153)------------------------------
% 0.73/0.89  % (23157)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.73/0.89  % (23154)Instruction limit reached!
% 0.73/0.89  % (23154)------------------------------
% 0.73/0.89  % (23154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (23154)Termination reason: Unknown
% 0.73/0.89  % (23154)Termination phase: Saturation
% 0.73/0.89  
% 0.73/0.89  % (23154)Memory used [KB]: 1478
% 0.73/0.89  % (23154)Time elapsed: 0.024 s
% 0.73/0.89  % (23154)Instructions burned: 46 (million)
% 0.73/0.89  % (23154)------------------------------
% 0.73/0.89  % (23154)------------------------------
% 0.73/0.89  % (23158)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.73/0.89  % (23159)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.73/0.90  % (23160)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.73/0.90  % (23156)Instruction limit reached!
% 0.73/0.90  % (23156)------------------------------
% 0.73/0.90  % (23156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (23156)Termination reason: Unknown
% 0.73/0.90  % (23156)Termination phase: Saturation
% 0.73/0.90  
% 0.73/0.90  % (23156)Memory used [KB]: 1266
% 0.73/0.90  % (23156)Time elapsed: 0.029 s
% 0.73/0.90  % (23156)Instructions burned: 57 (million)
% 0.73/0.90  % (23156)------------------------------
% 0.73/0.90  % (23156)------------------------------
% 0.73/0.90  % (23150)Instruction limit reached!
% 0.73/0.90  % (23150)------------------------------
% 0.73/0.90  % (23150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (23150)Termination reason: Unknown
% 0.73/0.90  % (23150)Termination phase: Saturation
% 0.73/0.90  
% 0.73/0.90  % (23150)Memory used [KB]: 1633
% 0.73/0.90  % (23150)Time elapsed: 0.031 s
% 0.73/0.90  % (23150)Instructions burned: 51 (million)
% 0.73/0.90  % (23150)------------------------------
% 0.73/0.90  % (23150)------------------------------
% 0.73/0.90  % (23161)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.73/0.90  % (23162)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.73/0.91  % (23162)Refutation not found, incomplete strategy% (23162)------------------------------
% 0.73/0.91  % (23162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91  % (23162)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91  
% 0.73/0.91  % (23162)Memory used [KB]: 1150
% 0.73/0.91  % (23162)Time elapsed: 0.004 s
% 0.73/0.91  % (23162)Instructions burned: 6 (million)
% 0.73/0.91  % (23162)------------------------------
% 0.73/0.91  % (23162)------------------------------
% 0.73/0.91  % (23163)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.73/0.91  % (23157)First to succeed.
% 0.73/0.91  % (23157)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23148"
% 0.73/0.91  % (23157)Refutation found. Thanks to Tanya!
% 0.73/0.91  % SZS status Unsatisfiable for theBenchmark
% 0.73/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.91  % (23157)------------------------------
% 0.73/0.91  % (23157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91  % (23157)Termination reason: Refutation
% 0.73/0.91  
% 0.73/0.91  % (23157)Memory used [KB]: 1336
% 0.73/0.91  % (23157)Time elapsed: 0.019 s
% 0.73/0.91  % (23157)Instructions burned: 33 (million)
% 0.73/0.91  % (23148)Success in time 0.535 s
% 0.73/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------