TSTP Solution File: NUN060+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN060+1 : TPTP v8.2.0. Released v7.3.0.
% 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 : n021.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 : Tue May 21 02:17:06 EDT 2024
% Result : Theorem 0.49s 0.70s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 128 ( 37 ~; 27 |; 58 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 123 ( 71 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f125,plain,
$false,
inference(resolution,[],[f124,f80]) ).
fof(f80,plain,
! [X0] : r1(sK6(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( r3(X0,sK6(X0),sK5(X0))
& r1(sK6(X0))
& id(sK5(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f31,f44,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK5(X0))
& r1(X2) )
& id(sK5(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK5(X0))
& r1(X2) )
=> ( r3(X0,sK6(X0),sK5(X0))
& r1(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f124,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f121,f83]) ).
fof(f83,plain,
! [X0,X1] : r2(X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( r3(X0,X1,sK8(X0,X1))
& r2(sK8(X0,X1),sK7(X0,X1))
& r3(X0,sK10(X0,X1),sK9(X0,X1))
& r2(X1,sK10(X0,X1))
& id(sK9(X0,X1),sK7(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f32,f49,f48,f47,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK7(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK7(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK7(X0,X1)) )
=> ( r3(X0,X1,sK8(X0,X1))
& r2(sK8(X0,X1),sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK7(X0,X1)) )
=> ( ? [X5] :
( r3(X0,X5,sK9(X0,X1))
& r2(X1,X5) )
& id(sK9(X0,X1),sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK9(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK10(X0,X1),sK9(X0,X1))
& r2(X1,sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) )
& ? [X40] :
( ? [X41] :
( r3(X37,X41,X40)
& r2(X38,X41) )
& id(X40,X39) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(sK10(X0,sK10(X1,sK10(X2,X3))),X4)
| ~ r1(X3) ),
inference(resolution,[],[f118,f83]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(sK10(X2,sK10(X3,X4)),X0)
| ~ r2(X0,X1)
| ~ r1(X4) ),
inference(resolution,[],[f114,f83]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(sK10(X3,X4),X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(X4) ),
inference(resolution,[],[f102,f83]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X4,X0)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X0,X1)
| ~ r1(X4) ),
inference(resolution,[],[f96,f56]) ).
fof(f56,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f96,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(sK8(X5,X4),X6)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X3,X4)
| ~ r2(X0,X1)
| ~ r1(X0) ),
inference(resolution,[],[f53,f86]) ).
fof(f86,plain,
! [X0,X1] : r3(X0,X1,sK8(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r3(X1,X3,X2)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r2(X7,X6)
| ~ id(X2,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
| ~ r2(X6,X5) )
| ~ r2(X5,X4) )
| ~ r2(X4,X3) )
| ~ r3(X1,X3,X2) )
| ~ id(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X5) )
& r2(X5,X4) )
& r2(X4,X3) )
& r3(X1,X3,X2) )
& id(X2,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r2(X48,X40) )
& r2(X40,X39) )
& r3(X45,X39,X46) )
& id(X46,X62) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r2(X48,X40) )
& r2(X40,X39) )
& r3(X45,X39,X46) )
& id(X46,X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greq4id) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUN060+1 : TPTP v8.2.0. Released v7.3.0.
% 0.05/0.11 % 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
% 0.11/0.30 % Computer : n021.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % 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 : Sat May 18 15:09:38 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_NEQ 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/benchmark/theBenchmark.p
% 0.49/0.70 % (12233)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.49/0.70 % (12232)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.49/0.70 % (12234)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 theBenchmark for (2996ds/34Mi)
% 0.49/0.70 % (12235)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.49/0.70 % (12236)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 theBenchmark for (2996ds/83Mi)
% 0.49/0.70 % (12237)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.49/0.70 % (12230)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 theBenchmark for (2996ds/34Mi)
% 0.49/0.70 % (12231)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 theBenchmark for (2996ds/51Mi)
% 0.49/0.70 % (12236)Also succeeded, but the first one will report.
% 0.49/0.70 % (12235)First to succeed.
% 0.49/0.70 % (12231)Also succeeded, but the first one will report.
% 0.49/0.70 % (12232)Also succeeded, but the first one will report.
% 0.49/0.70 % (12235)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12229"
% 0.49/0.70 % (12235)Refutation found. Thanks to Tanya!
% 0.49/0.70 % SZS status Theorem for theBenchmark
% 0.49/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.70 % (12235)------------------------------
% 0.49/0.70 % (12235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.70 % (12235)Termination reason: Refutation
% 0.49/0.70
% 0.49/0.70 % (12235)Memory used [KB]: 1101
% 0.49/0.70 % (12235)Time elapsed: 0.005 s
% 0.49/0.70 % (12235)Instructions burned: 7 (million)
% 0.49/0.70 % (12229)Success in time 0.377 s
% 0.49/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------