TSTP Solution File: SET411-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET411-6 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Tue May 21 03:11:04 EDT 2024

% Result   : Unsatisfiable 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   20 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (  11   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f770,plain,
    $false,
    inference(subsumption_resolution,[],[f769,f116]) ).

fof(f116,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_implies_subclass1) ).

fof(f769,plain,
    ~ subclass(singleton_relation,singleton_relation),
    inference(superposition,[],[f759,f104]) ).

fof(f104,axiom,
    intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_can_define_singleton) ).

fof(f759,plain,
    ! [X0] : ~ subclass(singleton_relation,intersection(X0,element_relation)),
    inference(unit_resulting_resolution,[],[f113,f192,f1]) ).

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(f192,plain,
    ! [X0,X1] : ~ member(ordered_pair(x,X0),intersection(X1,element_relation)),
    inference(unit_resulting_resolution,[],[f140,f22]) ).

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

fof(f140,plain,
    ! [X0] : ~ member(ordered_pair(x,X0),element_relation),
    inference(unit_resulting_resolution,[],[f117,f19]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ~ member(ordered_pair(X0,X1),element_relation)
      | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation2) ).

fof(f117,plain,
    ! [X0] : ~ member(x,X0),
    inference(unit_resulting_resolution,[],[f4,f114,f1]) ).

fof(f114,axiom,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_2) ).

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

fof(f113,axiom,
    member(ordered_pair(x,y),singleton_relation),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET411-6 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 11:29:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.79  % (32246)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.79  % (32246)Refutation not found, incomplete strategy% (32246)------------------------------
% 0.61/0.79  % (32246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (32246)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (32243)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.79  % (32246)Memory used [KB]: 1088
% 0.61/0.79  % (32246)Time elapsed: 0.002 s
% 0.61/0.79  % (32246)Instructions burned: 3 (million)
% 0.61/0.79  % (32244)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.79  % (32242)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 (2995ds/51Mi)
% 0.61/0.79  % (32245)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 (2995ds/34Mi)
% 0.61/0.79  % (32246)------------------------------
% 0.61/0.79  % (32246)------------------------------
% 0.61/0.79  % (32241)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 (2995ds/34Mi)
% 0.61/0.79  % (32248)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 (2995ds/56Mi)
% 0.61/0.79  % (32248)Refutation not found, incomplete strategy% (32248)------------------------------
% 0.61/0.79  % (32248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (32248)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (32248)Memory used [KB]: 1087
% 0.61/0.79  % (32248)Time elapsed: 0.002 s
% 0.61/0.79  % (32248)Instructions burned: 2 (million)
% 0.61/0.79  % (32248)------------------------------
% 0.61/0.79  % (32248)------------------------------
% 0.61/0.79  % (32247)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 (2995ds/83Mi)
% 0.61/0.79  % (32249)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 (2995ds/55Mi)
% 0.61/0.79  % (32241)Refutation not found, incomplete strategy% (32241)------------------------------
% 0.61/0.79  % (32241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (32241)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (32241)Memory used [KB]: 1137
% 0.61/0.79  % (32241)Time elapsed: 0.005 s
% 0.61/0.79  % (32241)Instructions burned: 9 (million)
% 0.61/0.79  % (32241)------------------------------
% 0.61/0.79  % (32241)------------------------------
% 0.61/0.79  % (32251)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 (2995ds/208Mi)
% 0.61/0.80  % (32250)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 (2995ds/50Mi)
% 0.61/0.80  % (32244)Instruction limit reached!
% 0.61/0.80  % (32244)------------------------------
% 0.61/0.80  % (32244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (32244)Termination reason: Unknown
% 0.61/0.80  % (32244)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (32244)Memory used [KB]: 1450
% 0.61/0.81  % (32244)Time elapsed: 0.019 s
% 0.61/0.81  % (32244)Instructions burned: 33 (million)
% 0.61/0.81  % (32244)------------------------------
% 0.61/0.81  % (32244)------------------------------
% 0.61/0.81  % (32245)Instruction limit reached!
% 0.61/0.81  % (32245)------------------------------
% 0.61/0.81  % (32245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (32245)Termination reason: Unknown
% 0.61/0.81  % (32245)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (32245)Memory used [KB]: 1410
% 0.61/0.81  % (32245)Time elapsed: 0.021 s
% 0.61/0.81  % (32245)Instructions burned: 34 (million)
% 0.61/0.81  % (32245)------------------------------
% 0.61/0.81  % (32245)------------------------------
% 0.61/0.81  % (32247)First to succeed.
% 0.61/0.81  % (32247)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32240"
% 0.61/0.81  % (32247)Refutation found. Thanks to Tanya!
% 0.61/0.81  % SZS status Unsatisfiable for theBenchmark
% 0.61/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.81  % (32247)------------------------------
% 0.61/0.81  % (32247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (32247)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (32247)Memory used [KB]: 1360
% 0.61/0.81  % (32247)Time elapsed: 0.018 s
% 0.61/0.81  % (32247)Instructions burned: 30 (million)
% 0.61/0.81  % (32240)Success in time 0.452 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------