TSTP Solution File: COM016+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM016+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n016.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 04:46:13 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 9 unt; 0 def)
% Number of atoms : 261 ( 8 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 367 ( 161 ~; 156 |; 41 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 87 ( 78 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(subsumption_resolution,[],[f208,f90]) ).
fof(f90,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/tmp/tmp.WkWC0R9Et5/Vampire---4.8_4171',m__731) ).
fof(f208,plain,
~ aElement0(xa),
inference(subsumption_resolution,[],[f207,f87]) ).
fof(f87,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/tmp/tmp.WkWC0R9Et5/Vampire---4.8_4171',m__656) ).
fof(f207,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(subsumption_resolution,[],[f206,f91]) ).
fof(f91,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f206,plain,
( ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(subsumption_resolution,[],[f205,f96]) ).
fof(f96,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
( sdtmndtplgtdt0(xa,xR,xc)
& sdtmndtplgtdt0(xa,xR,xb) ),
file('/export/starexec/sandbox/tmp/tmp.WkWC0R9Et5/Vampire---4.8_4171',m__731_02) ).
fof(f205,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(subsumption_resolution,[],[f200,f149]) ).
fof(f149,plain,
~ aReductOfIn0(xb,xa,xR),
inference(subsumption_resolution,[],[f148,f91]) ).
fof(f148,plain,
( ~ aElement0(xb)
| ~ aReductOfIn0(xb,xa,xR) ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f147,plain,
( ~ aElement0(xb)
| ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb) ),
inference(resolution,[],[f146,f98]) ).
fof(f98,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ? [X0] :
( sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
? [X0] :
( sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.WkWC0R9Et5/Vampire---4.8_4171',m__) ).
fof(f146,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,X0)
| ~ aElement0(X0) ),
inference(resolution,[],[f145,f87]) ).
fof(f145,plain,
! [X2,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,X1,X2) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X2,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(equality_resolution,[],[f135]) ).
fof(f135,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| X0 != X2
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.WkWC0R9Et5/Vampire---4.8_4171',mTCRDef) ).
fof(f200,plain,
( aReductOfIn0(xb,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(resolution,[],[f191,f140]) ).
fof(f140,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(sK17(X0,X1,X2),X1,X2)
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ( sdtmndtplgtdt0(sK17(X0,X1,X2),X1,X2)
& aReductOfIn0(sK17(X0,X1,X2),X0,X1)
& aElement0(sK17(X0,X1,X2)) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f84,f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
=> ( sdtmndtplgtdt0(sK17(X0,X1,X2),X1,X2)
& aReductOfIn0(sK17(X0,X1,X2),X0,X1)
& aElement0(sK17(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.WkWC0R9Et5/Vampire---4.8_4171',mTCDef) ).
fof(f191,plain,
~ sdtmndtplgtdt0(sK17(xa,xR,xb),xR,xb),
inference(subsumption_resolution,[],[f190,f96]) ).
fof(f190,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(sK17(xa,xR,xb),xR,xb) ),
inference(subsumption_resolution,[],[f184,f91]) ).
fof(f184,plain,
( ~ aElement0(xb)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(sK17(xa,xR,xb),xR,xb) ),
inference(resolution,[],[f183,f149]) ).
fof(f183,plain,
! [X0] :
( aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ sdtmndtplgtdt0(sK17(xa,xR,X0),xR,xb) ),
inference(subsumption_resolution,[],[f182,f90]) ).
fof(f182,plain,
! [X0] :
( ~ aElement0(X0)
| aReductOfIn0(X0,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ sdtmndtplgtdt0(sK17(xa,xR,X0),xR,xb)
| ~ aElement0(xa) ),
inference(subsumption_resolution,[],[f181,f87]) ).
fof(f181,plain,
! [X0] :
( ~ aElement0(X0)
| aReductOfIn0(X0,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ sdtmndtplgtdt0(sK17(xa,xR,X0),xR,xb)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(duplicate_literal_removal,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ~ aElement0(X0)
| aReductOfIn0(X0,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ sdtmndtplgtdt0(sK17(xa,xR,X0),xR,xb)
| aReductOfIn0(X0,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(resolution,[],[f177,f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( aElement0(sK17(X0,X1,X2))
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f177,plain,
! [X0] :
( ~ aElement0(sK17(xa,xR,X0))
| ~ aElement0(X0)
| aReductOfIn0(X0,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ sdtmndtplgtdt0(sK17(xa,xR,X0),xR,xb) ),
inference(subsumption_resolution,[],[f174,f90]) ).
fof(f174,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ aElement0(X0)
| aReductOfIn0(X0,xa,xR)
| ~ aElement0(xa)
| ~ aElement0(sK17(xa,xR,X0))
| ~ sdtmndtplgtdt0(sK17(xa,xR,X0),xR,xb) ),
inference(resolution,[],[f171,f158]) ).
fof(f158,plain,
! [X0] :
( ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,xb) ),
inference(subsumption_resolution,[],[f157,f91]) ).
fof(f157,plain,
! [X0] :
( ~ aElement0(xb)
| ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ~ aElement0(xb)
| ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f155,f98]) ).
fof(f155,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X0,xR,X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f136,f87]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f171,plain,
! [X0,X1] :
( aReductOfIn0(sK17(X1,xR,X0),X1,xR)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aElement0(X0)
| aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1) ),
inference(resolution,[],[f139,f87]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| aReductOfIn0(sK17(X0,X1,X2),X0,X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM016+1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.15/0.36 % Computer : n016.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 21:26:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.WkWC0R9Et5/Vampire---4.8_4171
% 0.58/0.74 % (4434)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)
% 0.58/0.74 % (4428)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)
% 0.58/0.74 % (4430)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (4431)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)
% 0.58/0.74 % (4432)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)
% 0.58/0.74 % (4433)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)
% 0.58/0.75 % (4435)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)
% 0.58/0.75 % (4430)First to succeed.
% 0.58/0.75 % (4430)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4424"
% 0.58/0.75 % (4430)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (4430)------------------------------
% 0.58/0.75 % (4430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (4430)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (4430)Memory used [KB]: 1137
% 0.58/0.75 % (4430)Time elapsed: 0.008 s
% 0.58/0.75 % (4430)Instructions burned: 11 (million)
% 0.58/0.75 % (4424)Success in time 0.375 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------