TSTP Solution File: KRS078+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS078+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May 5 07:17:47 EDT 2024
% Result : Unsatisfiable 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 4 unt; 0 def)
% Number of atoms : 222 ( 21 equ)
% Maximal formula atoms : 22 ( 6 avg)
% Number of connectives : 293 ( 107 ~; 86 |; 85 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 124 ( 86 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(resolution,[],[f133,f94]) ).
fof(f94,plain,
cUnsatisfiable(i2003_11_14_17_19_13721),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
cUnsatisfiable(i2003_11_14_17_19_13721),
file('/export/starexec/sandbox/tmp/tmp.SwLaBDVQAP/Vampire---4.8_9796',axiom_4) ).
fof(f133,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(superposition,[],[f115,f122]) ).
fof(f122,plain,
! [X0] :
( sK5(X0) = X0
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f121,plain,
! [X0] :
( sK5(X0) = X0
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f119,f80]) ).
fof(f80,plain,
! [X0] :
( rinvR(sK4(X0),sK5(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( cp(X1)
| cq(X1)
| ~ rs(X0,X1) )
| ! [X2] :
( ( sK0(X2) != sK1(X2)
& rinvR(X2,sK1(X2))
& rinvR(X2,sK0(X2)) )
| ! [X5] :
( ( ~ cp(sK2(X5))
& rs(X5,sK2(X5)) )
| ~ rinvR(X2,X5) )
| ~ rr(X0,X2) ) )
& ( ( ~ cp(sK3(X0))
& ~ cq(sK3(X0))
& rs(X0,sK3(X0))
& ! [X9,X10] :
( X9 = X10
| ~ rinvR(sK4(X0),X10)
| ~ rinvR(sK4(X0),X9) )
& ! [X12] :
( cp(X12)
| ~ rs(sK5(X0),X12) )
& rinvR(sK4(X0),sK5(X0))
& rr(X0,sK4(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f54,f59,f58,f57,f56,f55]) ).
fof(f55,plain,
! [X2] :
( ? [X3,X4] :
( X3 != X4
& rinvR(X2,X4)
& rinvR(X2,X3) )
=> ( sK0(X2) != sK1(X2)
& rinvR(X2,sK1(X2))
& rinvR(X2,sK0(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X5] :
( ? [X6] :
( ~ cp(X6)
& rs(X5,X6) )
=> ( ~ cp(sK2(X5))
& rs(X5,sK2(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ? [X7] :
( ~ cp(X7)
& ~ cq(X7)
& rs(X0,X7) )
=> ( ~ cp(sK3(X0))
& ~ cq(sK3(X0))
& rs(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X8] :
( ! [X9,X10] :
( X9 = X10
| ~ rinvR(X8,X10)
| ~ rinvR(X8,X9) )
& ? [X11] :
( ! [X12] :
( cp(X12)
| ~ rs(X11,X12) )
& rinvR(X8,X11) )
& rr(X0,X8) )
=> ( ! [X10,X9] :
( X9 = X10
| ~ rinvR(sK4(X0),X10)
| ~ rinvR(sK4(X0),X9) )
& ? [X11] :
( ! [X12] :
( cp(X12)
| ~ rs(X11,X12) )
& rinvR(sK4(X0),X11) )
& rr(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X11] :
( ! [X12] :
( cp(X12)
| ~ rs(X11,X12) )
& rinvR(sK4(X0),X11) )
=> ( ! [X12] :
( cp(X12)
| ~ rs(sK5(X0),X12) )
& rinvR(sK4(X0),sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( cp(X1)
| cq(X1)
| ~ rs(X0,X1) )
| ! [X2] :
( ? [X3,X4] :
( X3 != X4
& rinvR(X2,X4)
& rinvR(X2,X3) )
| ! [X5] :
( ? [X6] :
( ~ cp(X6)
& rs(X5,X6) )
| ~ rinvR(X2,X5) )
| ~ rr(X0,X2) ) )
& ( ( ? [X7] :
( ~ cp(X7)
& ~ cq(X7)
& rs(X0,X7) )
& ? [X8] :
( ! [X9,X10] :
( X9 = X10
| ~ rinvR(X8,X10)
| ~ rinvR(X8,X9) )
& ? [X11] :
( ! [X12] :
( cp(X12)
| ~ rs(X11,X12) )
& rinvR(X8,X11) )
& rr(X0,X8) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( cp(X1)
| cq(X1)
| ~ rs(X0,X1) )
| ! [X2] :
( ? [X3,X4] :
( X3 != X4
& rinvR(X2,X4)
& rinvR(X2,X3) )
| ! [X5] :
( ? [X6] :
( ~ cp(X6)
& rs(X5,X6) )
| ~ rinvR(X2,X5) )
| ~ rr(X0,X2) ) )
& ( ( ? [X1] :
( ~ cp(X1)
& ~ cq(X1)
& rs(X0,X1) )
& ? [X2] :
( ! [X3,X4] :
( X3 = X4
| ~ rinvR(X2,X4)
| ~ rinvR(X2,X3) )
& ? [X5] :
( ! [X6] :
( cp(X6)
| ~ rs(X5,X6) )
& rinvR(X2,X5) )
& rr(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( cp(X1)
| cq(X1)
| ~ rs(X0,X1) )
| ! [X2] :
( ? [X3,X4] :
( X3 != X4
& rinvR(X2,X4)
& rinvR(X2,X3) )
| ! [X5] :
( ? [X6] :
( ~ cp(X6)
& rs(X5,X6) )
| ~ rinvR(X2,X5) )
| ~ rr(X0,X2) ) )
& ( ( ? [X1] :
( ~ cp(X1)
& ~ cq(X1)
& rs(X0,X1) )
& ? [X2] :
( ! [X3,X4] :
( X3 = X4
| ~ rinvR(X2,X4)
| ~ rinvR(X2,X3) )
& ? [X5] :
( ! [X6] :
( cp(X6)
| ~ rs(X5,X6) )
& rinvR(X2,X5) )
& rr(X0,X2) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ~ cp(X1)
& ~ cq(X1)
& rs(X0,X1) )
& ? [X2] :
( ! [X3,X4] :
( X3 = X4
| ~ rinvR(X2,X4)
| ~ rinvR(X2,X3) )
& ? [X5] :
( ! [X6] :
( cp(X6)
| ~ rs(X5,X6) )
& rinvR(X2,X5) )
& rr(X0,X2) ) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ~ cp(X1)
& ~ cq(X1)
& rs(X0,X1) )
& ? [X2] :
( ! [X3,X4] :
( X3 = X4
| ~ rinvR(X2,X4)
| ~ rinvR(X2,X3) )
& ? [X5] :
( ! [X6] :
( cp(X6)
| ~ rs(X5,X6) )
& rinvR(X2,X5) )
& rr(X0,X2) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( ~ cp(X1)
& ~ cq(X1)
& rs(X0,X1) )
& ? [X2] :
( ! [X3,X4] :
( ( rinvR(X2,X4)
& rinvR(X2,X3) )
=> X3 = X4 )
& ? [X5] :
( ! [X6] :
( rs(X5,X6)
=> cp(X6) )
& rinvR(X2,X5) )
& rr(X0,X2) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( ~ cp(X4)
& ~ cq(X4)
& rs(X3,X4) )
& ? [X4] :
( ! [X7,X8] :
( ( rinvR(X4,X8)
& rinvR(X4,X7) )
=> X7 = X8 )
& ? [X5] :
( ! [X6] :
( rs(X5,X6)
=> cp(X6) )
& rinvR(X4,X5) )
& rr(X3,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.SwLaBDVQAP/Vampire---4.8_9796',axiom_2) ).
fof(f119,plain,
! [X0,X1] :
( ~ rinvR(sK4(X1),X0)
| X0 = X1
| ~ cUnsatisfiable(X1) ),
inference(duplicate_literal_removal,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( X0 = X1
| ~ rinvR(sK4(X1),X0)
| ~ cUnsatisfiable(X1)
| ~ cUnsatisfiable(X1) ),
inference(resolution,[],[f82,f109]) ).
fof(f109,plain,
! [X0] :
( rinvR(sK4(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f93,f79]) ).
fof(f79,plain,
! [X0] :
( rr(X0,sK4(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f93,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] :
( rinvR(X3,X4)
<=> rr(X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.SwLaBDVQAP/Vampire---4.8_9796',axiom_3) ).
fof(f82,plain,
! [X10,X0,X9] :
( ~ rinvR(sK4(X0),X10)
| X9 = X10
| ~ rinvR(sK4(X0),X9)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f115,plain,
! [X0] :
( ~ cUnsatisfiable(sK5(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(sK5(X0))
| ~ cUnsatisfiable(sK5(X0)) ),
inference(resolution,[],[f113,f85]) ).
fof(f85,plain,
! [X0] :
( ~ cp(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f113,plain,
! [X0] :
( cp(sK3(sK5(X0)))
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(sK5(X0)) ),
inference(resolution,[],[f81,f83]) ).
fof(f83,plain,
! [X0] :
( rs(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f81,plain,
! [X0,X12] :
( ~ rs(sK5(X0),X12)
| cp(X12)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : KRS078+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.15 % 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
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:52:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_UNS_RFO_SEQ problem
% 0.14/0.37 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/tmp/tmp.SwLaBDVQAP/Vampire---4.8_9796
% 0.55/0.76 % (10064)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)
% 0.55/0.76 % (10064)Refutation not found, incomplete strategy% (10064)------------------------------
% 0.55/0.76 % (10064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (10064)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (10064)Memory used [KB]: 945
% 0.55/0.76 % (10064)Time elapsed: 0.001 s
% 0.55/0.76 % (10064)Instructions burned: 2 (million)
% 0.55/0.76 % (10064)------------------------------
% 0.55/0.76 % (10064)------------------------------
% 0.55/0.76 % (10058)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)
% 0.55/0.76 % (10061)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)
% 0.55/0.76 % (10059)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)
% 0.55/0.76 % (10062)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)
% 0.55/0.76 % (10063)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)
% 0.55/0.76 % (10060)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76 % (10058)Refutation not found, incomplete strategy% (10058)------------------------------
% 0.55/0.76 % (10058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (10058)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (10058)Memory used [KB]: 945
% 0.55/0.76 % (10058)Time elapsed: 0.002 s
% 0.55/0.76 % (10058)Instructions burned: 2 (million)
% 0.55/0.76 % (10061)Refutation not found, incomplete strategy% (10061)------------------------------
% 0.55/0.76 % (10061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (10061)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (10063)Refutation not found, incomplete strategy% (10063)------------------------------
% 0.55/0.76 % (10063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (10061)Memory used [KB]: 945
% 0.55/0.76 % (10061)Time elapsed: 0.002 s
% 0.55/0.76 % (10061)Instructions burned: 2 (million)
% 0.55/0.76 % (10060)Refutation not found, incomplete strategy% (10060)------------------------------
% 0.55/0.76 % (10060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (10063)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (10063)Memory used [KB]: 945
% 0.55/0.76 % (10063)Time elapsed: 0.002 s
% 0.55/0.76 % (10063)Instructions burned: 2 (million)
% 0.55/0.76 % (10060)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76 % (10058)------------------------------
% 0.55/0.76 % (10058)------------------------------
% 0.55/0.76
% 0.55/0.76 % (10060)Memory used [KB]: 945
% 0.55/0.76 % (10060)Time elapsed: 0.002 s
% 0.55/0.76 % (10060)Instructions burned: 2 (million)
% 0.55/0.76 % (10061)------------------------------
% 0.55/0.76 % (10061)------------------------------
% 0.55/0.76 % (10063)------------------------------
% 0.55/0.76 % (10063)------------------------------
% 0.55/0.76 % (10060)------------------------------
% 0.55/0.76 % (10060)------------------------------
% 0.59/0.76 % (10062)Refutation not found, incomplete strategy% (10062)------------------------------
% 0.59/0.76 % (10062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (10062)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (10062)Memory used [KB]: 1028
% 0.59/0.76 % (10062)Time elapsed: 0.003 s
% 0.59/0.76 % (10062)Instructions burned: 3 (million)
% 0.59/0.76 % (10065)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)
% 0.59/0.76 % (10062)------------------------------
% 0.59/0.76 % (10062)------------------------------
% 0.59/0.76 % (10065)Refutation not found, incomplete strategy% (10065)------------------------------
% 0.59/0.76 % (10065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (10065)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (10065)Memory used [KB]: 945
% 0.59/0.76 % (10065)Time elapsed: 0.001 s
% 0.59/0.76 % (10065)Instructions burned: 2 (million)
% 0.59/0.76 % (10065)------------------------------
% 0.59/0.76 % (10065)------------------------------
% 0.59/0.76 % (10059)First to succeed.
% 0.59/0.76 % (10059)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10054"
% 0.59/0.76 % (10059)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (10059)------------------------------
% 0.59/0.76 % (10059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (10059)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (10059)Memory used [KB]: 1056
% 0.59/0.76 % (10059)Time elapsed: 0.005 s
% 0.59/0.76 % (10059)Instructions burned: 5 (million)
% 0.59/0.76 % (10054)Success in time 0.387 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------