TSTP Solution File: KRS168+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n022.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 : Sun May 5 07:18:05 EDT 2024
% Result : Theorem 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 3 unt; 0 def)
% Number of atoms : 269 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 353 ( 141 ~; 161 |; 36 &)
% ( 10 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 16 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f53,f65,f69,f73,f77]) ).
fof(f77,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f76,f42,f38]) ).
fof(f38,plain,
( spl3_1
<=> xsd_string(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f42,plain,
( spl3_2
<=> cA(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f76,plain,
( ~ cA(sK0)
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f75,f27]) ).
fof(f27,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.gcGinedg6G/Vampire---4.8_27454',axiom_1) ).
fof(f75,plain,
( ~ cA(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f74,f24]) ).
fof(f24,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.gcGinedg6G/Vampire---4.8_27454',axiom_0) ).
fof(f74,plain,
( ~ cA(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cowlThing(sK2) ),
inference(subsumption_resolution,[],[f28,f25]) ).
fof(f25,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
( ~ cA(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(duplicate_literal_removal,[],[f16]) ).
fof(f16,plain,
( ~ cA(sK0)
| ~ cA(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( ( cB(sK0)
| cA(sK0)
| cA(sK0)
| cB(sK0) )
& ( ( ~ cB(sK0)
& ~ cA(sK0) )
| ( ~ cA(sK0)
& ~ cB(sK0) ) ) )
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f11,f10,f9]) ).
fof(f9,plain,
( ? [X0] :
( ( cB(X0)
| cA(X0)
| cA(X0)
| cB(X0) )
& ( ( ~ cB(X0)
& ~ cA(X0) )
| ( ~ cA(X0)
& ~ cB(X0) ) ) )
=> ( ( cB(sK0)
| cA(sK0)
| cA(sK0)
| cB(sK0) )
& ( ( ~ cB(sK0)
& ~ cA(sK0) )
| ( ~ cA(sK0)
& ~ cB(sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
=> ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) )
=> ( cowlNothing(sK2)
| ~ cowlThing(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X0] :
( ( cB(X0)
| cA(X0)
| cA(X0)
| cB(X0) )
& ( ( ~ cB(X0)
& ~ cA(X0) )
| ( ~ cA(X0)
& ~ cB(X0) ) ) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
( ? [X0] :
( ( cB(X0)
| cA(X0)
| cA(X0)
| cB(X0) )
& ( ( ~ cB(X0)
& ~ cA(X0) )
| ( ~ cA(X0)
& ~ cB(X0) ) ) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ? [X0] :
( ( ~ cA(X0)
& ~ cB(X0) )
<~> ( ~ cB(X0)
& ~ cA(X0) ) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ( ! [X0] :
( ( ~ cA(X0)
& ~ cB(X0) )
<=> ~ ( cB(X0)
| cA(X0) ) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( ~ cowlNothing(X2)
& cowlThing(X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ! [X0] :
( ( ~ cA(X0)
& ~ cB(X0) )
<=> ~ ( cB(X0)
| cA(X0) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ! [X0] :
( ( ~ cA(X0)
& ~ cB(X0) )
<=> ~ ( cB(X0)
| cA(X0) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.gcGinedg6G/Vampire---4.8_27454',the_axiom) ).
fof(f73,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f72,f42,f38]) ).
fof(f72,plain,
( ~ cA(sK0)
| ~ xsd_string(sK1) ),
inference(subsumption_resolution,[],[f71,f26]) ).
fof(f26,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f71,plain,
( ~ cA(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(subsumption_resolution,[],[f70,f24]) ).
fof(f70,plain,
( ~ cA(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cowlThing(sK2) ),
inference(subsumption_resolution,[],[f29,f25]) ).
fof(f29,plain,
( ~ cA(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f17,plain,
( ~ cA(sK0)
| ~ cA(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f69,plain,
( spl3_1
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f68,f46,f38]) ).
fof(f46,plain,
( spl3_3
<=> cB(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f68,plain,
( ~ cB(sK0)
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f67,f27]) ).
fof(f67,plain,
( ~ cB(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f66,f24]) ).
fof(f66,plain,
( ~ cB(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cowlThing(sK2) ),
inference(subsumption_resolution,[],[f30,f25]) ).
fof(f30,plain,
( ~ cB(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(duplicate_literal_removal,[],[f18]) ).
fof(f18,plain,
( ~ cB(sK0)
| ~ cB(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f65,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f64,f46,f38]) ).
fof(f64,plain,
( ~ cB(sK0)
| ~ xsd_string(sK1) ),
inference(subsumption_resolution,[],[f63,f26]) ).
fof(f63,plain,
( ~ cB(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(subsumption_resolution,[],[f62,f24]) ).
fof(f62,plain,
( ~ cB(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cowlThing(sK2) ),
inference(subsumption_resolution,[],[f31,f25]) ).
fof(f31,plain,
( ~ cB(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f19,plain,
( ~ cB(sK0)
| ~ cB(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f53,plain,
( spl3_1
| spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f52,f46,f42,f38]) ).
fof(f52,plain,
( cB(sK0)
| cA(sK0)
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f51,f27]) ).
fof(f51,plain,
( cB(sK0)
| cA(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f50,f24]) ).
fof(f50,plain,
( cB(sK0)
| cA(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cowlThing(sK2) ),
inference(subsumption_resolution,[],[f32,f25]) ).
fof(f32,plain,
( cB(sK0)
| cA(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,plain,
( cB(sK0)
| cA(sK0)
| cA(sK0)
| cB(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f49,plain,
( ~ spl3_1
| spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f36,f46,f42,f38]) ).
fof(f36,plain,
( cB(sK0)
| cA(sK0)
| ~ xsd_string(sK1) ),
inference(subsumption_resolution,[],[f35,f26]) ).
fof(f35,plain,
( cB(sK0)
| cA(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1) ),
inference(subsumption_resolution,[],[f34,f24]) ).
fof(f34,plain,
( cB(sK0)
| cA(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cowlThing(sK2) ),
inference(subsumption_resolution,[],[f33,f25]) ).
fof(f33,plain,
( cB(sK0)
| cA(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(duplicate_literal_removal,[],[f23]) ).
fof(f23,plain,
( cB(sK0)
| cA(sK0)
| cA(sK0)
| cB(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| cowlNothing(sK2)
| ~ cowlThing(sK2) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:54:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_EPR_NEQ problem
% 0.15/0.37 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/tmp/tmp.gcGinedg6G/Vampire---4.8_27454
% 0.54/0.76 % (27808)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.76 % (27808)First to succeed.
% 0.54/0.76 % (27801)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 Vampire---4 for (2996ds/34Mi)
% 0.54/0.76 % (27803)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76 % (27802)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 Vampire---4 for (2996ds/51Mi)
% 0.54/0.76 % (27805)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 Vampire---4 for (2996ds/34Mi)
% 0.54/0.76 % (27806)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.76 % (27804)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.76 % (27807)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 Vampire---4 for (2996ds/83Mi)
% 0.54/0.76 % (27808)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27633"
% 0.54/0.76 % (27808)Refutation found. Thanks to Tanya!
% 0.54/0.76 % SZS status Theorem for Vampire---4
% 0.54/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.76 % (27808)------------------------------
% 0.54/0.76 % (27808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (27808)Termination reason: Refutation
% 0.54/0.76
% 0.54/0.76 % (27808)Memory used [KB]: 982
% 0.54/0.76 % (27808)Time elapsed: 0.002 s
% 0.54/0.76 % (27808)Instructions burned: 4 (million)
% 0.54/0.76 % (27633)Success in time 0.375 s
% 0.54/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------