TSTP Solution File: SWV376+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV376+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n024.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 04:03:44 EDT 2024
% Result : Theorem 0.61s 0.80s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 103 ( 42 ~; 26 |; 22 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 111 ( 69 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(subsumption_resolution,[],[f78,f75]) ).
fof(f75,plain,
~ ok(triple(sK9,sK10,sK11)),
inference(subsumption_resolution,[],[f74,f60]) ).
fof(f60,plain,
~ ok(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ok(triple(sK3,sK4,sK5))
& succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5))
& ~ ok(triple(sK0,sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f49,f54,f53]) ).
fof(f53,plain,
( ? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ~ ok(triple(X0,X1,X2)) )
=> ( ? [X5,X4,X3] :
( ok(triple(X3,X4,X5))
& succ_cpq(triple(sK0,sK1,sK2),triple(X3,X4,X5)) )
& ~ ok(triple(sK0,sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X5,X4,X3] :
( ok(triple(X3,X4,X5))
& succ_cpq(triple(sK0,sK1,sK2),triple(X3,X4,X5)) )
=> ( ok(triple(sK3,sK4,sK5))
& succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ~ ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ~ ok(triple(X3,X4,X5)) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ~ ok(triple(X3,X4,X5)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JrgYVQRCOi/Vampire---4.8_11875',l12_co) ).
fof(f74,plain,
( ok(triple(sK0,sK1,sK2))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(subsumption_resolution,[],[f72,f62]) ).
fof(f62,plain,
ok(triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f55]) ).
fof(f72,plain,
( ~ ok(triple(sK3,sK4,sK5))
| ok(triple(sK0,sK1,sK2))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(resolution,[],[f61,f66]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ok(triple(X0,X1,X2)) )
| ( ok(im_succ_cpq(triple(sK9,sK10,sK11)))
& ~ ok(triple(sK9,sK10,sK11))
& succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f56,f57]) ).
fof(f57,plain,
( ? [X6,X7,X8,X9,X10,X11] :
( ok(im_succ_cpq(triple(X9,X10,X11)))
& ~ ok(triple(X9,X10,X11))
& succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
=> ( ok(im_succ_cpq(triple(sK9,sK10,sK11)))
& ~ ok(triple(sK9,sK10,sK11))
& succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ok(triple(X0,X1,X2)) )
| ? [X6,X7,X8,X9,X10,X11] :
( ok(im_succ_cpq(triple(X9,X10,X11)))
& ~ ok(triple(X9,X10,X11))
& succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
( ! [X6,X7,X8] :
( ! [X9,X10,X11] :
( ~ ok(triple(X9,X10,X11))
| ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
| ok(triple(X6,X7,X8)) )
| ? [X0,X1,X2,X3,X4,X5] :
( ok(im_succ_cpq(triple(X3,X4,X5)))
& ~ ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
( ! [X6,X7,X8] :
( ! [X9,X10,X11] :
( ~ ok(triple(X9,X10,X11))
| ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
| ok(triple(X6,X7,X8)) )
| ? [X0,X1,X2,X3,X4,X5] :
( ok(im_succ_cpq(triple(X3,X4,X5)))
& ~ ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
( ! [X0,X1,X2,X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ ok(triple(X3,X4,X5))
=> ~ ok(im_succ_cpq(triple(X3,X4,X5))) ) )
=> ! [X6,X7,X8] :
( ~ ok(triple(X6,X7,X8))
=> ! [X9,X10,X11] :
( succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
=> ~ ok(triple(X9,X10,X11)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JrgYVQRCOi/Vampire---4.8_11875',l12_induction) ).
fof(f61,plain,
succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f55]) ).
fof(f78,plain,
ok(triple(sK9,sK10,sK11)),
inference(resolution,[],[f77,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(im_succ_cpq(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.JrgYVQRCOi/Vampire---4.8_11875',l12_l13) ).
fof(f77,plain,
ok(im_succ_cpq(triple(sK9,sK10,sK11))),
inference(subsumption_resolution,[],[f76,f60]) ).
fof(f76,plain,
( ok(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(subsumption_resolution,[],[f73,f62]) ).
fof(f73,plain,
( ~ ok(triple(sK3,sK4,sK5))
| ok(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(resolution,[],[f61,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV376+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14 % 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
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 18:35:06 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 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.JrgYVQRCOi/Vampire---4.8_11875
% 0.61/0.80 % (12101)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)
% 0.61/0.80 % (12104)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)
% 0.61/0.80 % (12104)First to succeed.
% 0.61/0.80 % (12097)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)
% 0.61/0.80 % (12099)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (12100)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)
% 0.61/0.80 % (12098)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)
% 0.61/0.80 % (12102)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)
% 0.61/0.80 % (12103)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)
% 0.61/0.80 % (12101)Also succeeded, but the first one will report.
% 0.61/0.80 % (12104)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Theorem for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80 % (12104)------------------------------
% 0.61/0.80 % (12104)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (12104)Termination reason: Refutation
% 0.61/0.80
% 0.61/0.80 % (12104)Memory used [KB]: 1068
% 0.61/0.80 % (12104)Time elapsed: 0.002 s
% 0.61/0.80 % (12104)Instructions burned: 4 (million)
% 0.61/0.80 % (12104)------------------------------
% 0.61/0.80 % (12104)------------------------------
% 0.61/0.80 % (12015)Success in time 0.443 s
% 0.61/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------