TSTP Solution File: NUN076+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN076+1 : TPTP v8.1.2. 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 : n022.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 08:44:30 EDT 2024
% Result : Theorem 0.51s 0.75s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 50 ( 11 unt; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 211 ( 65 ~; 47 |; 89 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 158 ( 91 !; 67 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f245,plain,
$false,
inference(resolution,[],[f234,f117]) ).
fof(f117,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( r1(sK15(X0))
& id(sK14(X0),sK15(X0))
& r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f35,f63,f62,f61]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( r1(X2)
& id(sK14(X0),X2) )
& ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& id(sK14(X0),X2) )
=> ( r1(sK15(X0))
& id(sK14(X0),sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) )
=> ( r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X59] :
( r1(X59)
& id(X57,X59) )
& ? [X58] :
( r4(X56,X58,X57)
& r1(X58) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Si2w1FdKak/Vampire---4.8_24099',axiom_5a) ).
fof(f234,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f231,f104]) ).
fof(f104,plain,
! [X0,X1] : r2(X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( r3(X0,X1,sK5(X0,X1))
& r2(sK5(X0,X1),sK4(X0,X1))
& r3(X0,sK7(X0,X1),sK6(X0,X1))
& r2(X1,sK7(X0,X1))
& id(sK6(X0,X1),sK4(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f31,f51,f50,f49,f48]) ).
fof(f48,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,sK4(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK4(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK4(X0,X1)) )
=> ( r3(X0,X1,sK5(X0,X1))
& r2(sK5(X0,X1),sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK4(X0,X1)) )
=> ( ? [X5] :
( r3(X0,X5,sK6(X0,X1))
& r2(X1,X5) )
& id(sK6(X0,X1),sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK6(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK7(X0,X1),sK6(X0,X1))
& r2(X1,sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,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/tmp/tmp.Si2w1FdKak/Vampire---4.8_24099',axiom_1a) ).
fof(f231,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X0) ),
inference(resolution,[],[f230,f104]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X2,X0) ),
inference(resolution,[],[f229,f215]) ).
fof(f215,plain,
! [X0] : r1(sK14(X0)),
inference(resolution,[],[f199,f119]) ).
fof(f119,plain,
! [X0] : id(sK14(X0),sK15(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f199,plain,
! [X0,X1] :
( ~ id(X0,sK15(X1))
| r1(X0) ),
inference(resolution,[],[f88,f120]) ).
fof(f120,plain,
! [X0] : r1(sK15(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f88,plain,
! [X0,X1] :
( ~ r1(X1)
| r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X20)
& r1(X19) )
| ( ~ r1(X20)
& ~ r1(X19) )
| ~ id(X19,X20) ),
file('/export/starexec/sandbox2/tmp/tmp.Si2w1FdKak/Vampire---4.8_24099',axiom_8) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ r1(sK14(X2))
| ~ r2(X1,X2)
| ~ r1(X0)
| ~ r2(X0,X1) ),
inference(resolution,[],[f226,f68]) ).
fof(f68,plain,
! [X1] :
( id(X1,sK0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1] :
( ( ~ id(X1,sK0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f40]) ).
fof(f40,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Si2w1FdKak/Vampire---4.8_24099',axiom_1) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ id(sK14(X1),sK0)
| ~ r2(X2,X0)
| ~ r2(X0,X1)
| ~ r1(X2) ),
inference(resolution,[],[f224,f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ r1(sK12(sK16(X2)))
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK14(X2),sK0)
| ~ r1(X0) ),
inference(resolution,[],[f154,f68]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( ~ id(sK12(sK16(X2)),X3)
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ id(sK14(X2),X3) ),
inference(resolution,[],[f152,f116]) ).
fof(f116,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( r3(X0,sK13(X0),sK12(X0))
& r1(sK13(X0))
& id(sK12(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f34,f59,f58]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK12(X0))
& r1(X2) )
& id(sK12(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK12(X0))
& r1(X2) )
=> ( r3(X0,sK13(X0),sK12(X0))
& r1(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,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/tmp/tmp.Si2w1FdKak/Vampire---4.8_24099',axiom_4a) ).
fof(f152,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r3(sK16(X4),X5,X0)
| ~ r2(X2,X3)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ id(X0,X1)
| ~ id(sK14(X4),X1) ),
inference(resolution,[],[f118,f126]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r4(X5,X1,X4)
| ~ id(X3,X0)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r3(X1,X2,X3)
| ~ id(X4,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ r3(X1,X2,X3)
| ~ id(X3,X0) )
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
| ~ r2(X6,X5) )
| ~ r4(X5,X1,X4) )
| ~ id(X4,X0) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( r3(X1,X2,X3)
& id(X3,X0) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X5) )
& r4(X5,X1,X4) )
& id(X4,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62,X45,X46] :
( ? [X40] :
( r3(X45,X46,X40)
& id(X40,X62) )
& ? [X39] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r4(X48,X45,X39) )
& id(X39,X62) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62,X45,X46] :
( ? [X40] :
( r3(X45,X46,X40)
& id(X40,X62) )
& ? [X39] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r4(X48,X45,X39) )
& id(X39,X62) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Si2w1FdKak/Vampire---4.8_24099',thereexistsanevennumberid) ).
fof(f118,plain,
! [X0] : r4(X0,sK16(X0),sK14(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f224,plain,
! [X0] : r1(sK12(sK16(X0))),
inference(resolution,[],[f200,f114]) ).
fof(f114,plain,
! [X0] : id(sK12(X0),X0),
inference(cnf_transformation,[],[f60]) ).
fof(f200,plain,
! [X0,X1] :
( ~ id(X0,sK16(X1))
| r1(X0) ),
inference(resolution,[],[f88,f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : NUN076+1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.16 % 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 : n022.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 : Fri May 3 18:54:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.13/0.36 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.Si2w1FdKak/Vampire---4.8_24099
% 0.51/0.74 % (24207)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)
% 0.51/0.74 % (24210)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)
% 0.51/0.74 % (24208)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)
% 0.51/0.74 % (24212)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)
% 0.51/0.74 % (24211)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)
% 0.51/0.74 % (24213)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)
% 0.51/0.74 % (24214)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)
% 0.51/0.74 % (24209)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.74 % (24208)First to succeed.
% 0.51/0.74 % (24207)Also succeeded, but the first one will report.
% 0.51/0.75 % (24208)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24206"
% 0.51/0.75 % (24208)Refutation found. Thanks to Tanya!
% 0.51/0.75 % SZS status Theorem for Vampire---4
% 0.51/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.51/0.75 % (24208)------------------------------
% 0.51/0.75 % (24208)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.75 % (24208)Termination reason: Refutation
% 0.51/0.75
% 0.51/0.75 % (24208)Memory used [KB]: 1160
% 0.51/0.75 % (24208)Time elapsed: 0.008 s
% 0.51/0.75 % (24208)Instructions burned: 11 (million)
% 0.51/0.75 % (24206)Success in time 0.385 s
% 0.51/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------