TSTP Solution File: COM023+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM023+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 : Wed May 1 02:13:15 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 18 unt; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 268 ( 96 ~; 94 |; 67 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 92 ( 72 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(subsumption_resolution,[],[f130,f109]) ).
fof(f109,plain,
sdtmndtasgtdt0(sK10(xR),xR,sK4(sK11(xR),sK10(xR))),
inference(unit_resulting_resolution,[],[f93,f91,f92,f96,f95,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X2,xR,sK4(X1,X2))
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X2,xR,sK4(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK4(X1,X2))
& aElement0(sK4(X1,X2)) )
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f25,f38]) ).
fof(f38,plain,
! [X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X2,xR,sK4(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK4(X1,X2))
& aElement0(sK4(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& sdtmndtasgtdt0(X0,xR,X1)
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Jn88AZhbNm/Vampire---4.8_5409',m__715) ).
fof(f95,plain,
sdtmndtasgtdt0(sK9(xR),xR,sK10(xR)),
inference(unit_resulting_resolution,[],[f87,f79]) ).
fof(f79,plain,
! [X0] :
( sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( sP2(X0)
| ( ! [X4] :
( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
& sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
& aElement0(sK11(X0))
& aElement0(sK10(X0))
& aElement0(sK9(X0)) ) )
& ( ! [X5,X6,X7] :
( ( sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
& aElement0(sK12(X0,X6,X7)) )
| ~ sdtmndtasgtdt0(X5,X0,X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f48,f50,f49]) ).
fof(f49,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ( ! [X4] :
( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
& sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
& aElement0(sK11(X0))
& aElement0(sK10(X0))
& aElement0(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
=> ( sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
& aElement0(sK12(X0,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ( sP2(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X5,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
| ~ sdtmndtasgtdt0(X5,X0,X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( sP2(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( sP2(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f87,plain,
~ sP2(xR),
inference(unit_resulting_resolution,[],[f84,f57,f72]) ).
fof(f72,plain,
! [X0] :
( ~ sP2(X0)
| isConfluent0(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( ( isConfluent0(X0)
| ~ sP2(X0) )
& ( sP2(X0)
| ~ isConfluent0(X0) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( isConfluent0(X0)
<=> sP2(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f57,plain,
~ isConfluent0(xR),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
~ isConfluent0(xR),
inference(flattening,[],[f19]) ).
fof(f19,negated_conjecture,
~ isConfluent0(xR),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
isConfluent0(xR),
file('/export/starexec/sandbox2/tmp/tmp.Jn88AZhbNm/Vampire---4.8_5409',m__) ).
fof(f84,plain,
sP3(xR),
inference(unit_resulting_resolution,[],[f52,f82]) ).
fof(f82,plain,
! [X0] :
( sP3(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( sP3(X0)
| ~ aRewritingSystem0(X0) ),
inference(definition_folding,[],[f31,f36,f35]) ).
fof(f31,plain,
! [X0] :
( ( isConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( isConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isConfluent0(X0)
<=> ! [X1,X2,X3] :
( ( sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Jn88AZhbNm/Vampire---4.8_5409',mCRDef) ).
fof(f52,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/tmp/tmp.Jn88AZhbNm/Vampire---4.8_5409',m__656) ).
fof(f96,plain,
sdtmndtasgtdt0(sK9(xR),xR,sK11(xR)),
inference(unit_resulting_resolution,[],[f87,f80]) ).
fof(f80,plain,
! [X0] :
( sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f92,plain,
aElement0(sK10(xR)),
inference(unit_resulting_resolution,[],[f87,f77]) ).
fof(f77,plain,
! [X0] :
( aElement0(sK10(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f91,plain,
aElement0(sK11(xR)),
inference(unit_resulting_resolution,[],[f87,f78]) ).
fof(f78,plain,
! [X0] :
( aElement0(sK11(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f93,plain,
aElement0(sK9(xR)),
inference(unit_resulting_resolution,[],[f87,f76]) ).
fof(f76,plain,
! [X0] :
( aElement0(sK9(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f130,plain,
~ sdtmndtasgtdt0(sK10(xR),xR,sK4(sK11(xR),sK10(xR))),
inference(unit_resulting_resolution,[],[f87,f98,f102,f81]) ).
fof(f81,plain,
! [X0,X4] :
( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
| sP2(X0)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f51]) ).
fof(f102,plain,
sdtmndtasgtdt0(sK11(xR),xR,sK4(sK11(xR),sK10(xR))),
inference(unit_resulting_resolution,[],[f93,f91,f92,f96,f95,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X1,xR,sK4(X1,X2))
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f98,plain,
aElement0(sK4(sK11(xR),sK10(xR))),
inference(unit_resulting_resolution,[],[f93,f91,f92,f96,f95,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( aElement0(sK4(X1,X2))
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11 % 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
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 18:42:14 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.31 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.Jn88AZhbNm/Vampire---4.8_5409
% 0.60/0.80 % (5523)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (5524)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (5522)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 (2995ds/51Mi)
% 0.60/0.80 % (5525)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 (2995ds/34Mi)
% 0.60/0.80 % (5526)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (5528)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 (2995ds/56Mi)
% 0.60/0.80 % (5527)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 (2995ds/83Mi)
% 0.60/0.80 % (5528)Refutation not found, incomplete strategy% (5528)------------------------------
% 0.60/0.80 % (5528)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (5528)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (5528)Memory used [KB]: 1030
% 0.60/0.80 % (5521)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 (2995ds/34Mi)
% 0.60/0.80 % (5528)Time elapsed: 0.003 s
% 0.60/0.80 % (5528)Instructions burned: 3 (million)
% 0.60/0.80 % (5528)------------------------------
% 0.60/0.80 % (5528)------------------------------
% 0.60/0.80 % (5524)First to succeed.
% 0.60/0.81 % (5524)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (5524)------------------------------
% 0.60/0.81 % (5524)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (5524)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (5524)Memory used [KB]: 1081
% 0.60/0.81 % (5524)Time elapsed: 0.006 s
% 0.60/0.81 % (5524)Instructions burned: 8 (million)
% 0.60/0.81 % (5524)------------------------------
% 0.60/0.81 % (5524)------------------------------
% 0.60/0.81 % (5517)Success in time 0.485 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------