TSTP Solution File: NUN060+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN060+2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.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 03:36:16 EDT 2024
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 5 unt; 0 def)
% Number of atoms : 132 ( 34 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 160 ( 59 ~; 39 |; 57 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 118 ( 75 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f153,plain,
$false,
inference(resolution,[],[f144,f84]) ).
fof(f84,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( sK14(X0) = sK15(X0)
& r1(sK15(X0))
& r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f21,f49,f48,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( sK14(X0) = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X2] :
( sK14(X0) = X2
& r1(X2) )
=> ( sK14(X0) = sK15(X0)
& r1(sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) )
=> ( r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( X33 = X35
& r1(X35) )
& ? [X34] :
( r4(X32,X34,X33)
& r1(X34) ) ),
file('/export/starexec/sandbox/tmp/tmp.BpB5zBoIP5/Vampire---4.8_759',axiom_5a) ).
fof(f144,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f141,f97]) ).
fof(f97,plain,
! [X0] : r2(X0,sK1(X0)),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X2,X0] :
( r2(X0,X2)
| sK1(X0) != X2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X2] :
( ( sK1(X0) = X2
& r2(X0,X2) )
| ( sK1(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f14,f28]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK1(X0) = X2
& r2(X0,X2) )
| ( sK1(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.BpB5zBoIP5/Vampire---4.8_759',axiom_2) ).
fof(f141,plain,
! [X0,X1] :
( ~ r2(sK1(sK1(X0)),X1)
| ~ r1(X0) ),
inference(resolution,[],[f135,f97]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ r2(sK1(X2),X0)
| ~ r1(X2)
| ~ r2(X0,X1) ),
inference(resolution,[],[f129,f97]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ r2(X3,X0)
| ~ r2(X1,X2)
| ~ r1(X3)
| ~ r2(X0,X1) ),
inference(resolution,[],[f124,f97]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X3,X4)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r1(X0)
| ~ r2(X0,X1) ),
inference(resolution,[],[f104,f99]) ).
fof(f99,plain,
! [X0,X1] : r3(X0,X1,sK2(X0,X1)),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X3,X0,X1] :
( r3(X0,X1,X3)
| sK2(X0,X1) != X3 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X3] :
( ( sK2(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK2(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f15,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) )
=> ! [X3] :
( ( sK2(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK2(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( X7 = X8
& r3(X5,X6,X8) )
| ( X7 != X8
& ~ r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.BpB5zBoIP5/Vampire---4.8_759',axiom_3) ).
fof(f104,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ r3(X1,X3,X2)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r2(X7,X6) ),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| X0 != X2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,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) )
| X0 != X2 ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,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) )
& X0 = X2 ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38,X21,X22] :
( ? [X15] :
( ? [X16] :
( ? [X24] :
( ? [X18] :
( ? [X33] :
( r2(X33,X18)
& r1(X33) )
& r2(X18,X24) )
& r2(X24,X16) )
& r2(X16,X15) )
& r3(X21,X15,X22) )
& X22 = X38 ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38,X21,X22] :
( ? [X15] :
( ? [X16] :
( ? [X24] :
( ? [X18] :
( ? [X33] :
( r2(X33,X18)
& r1(X33) )
& r2(X18,X24) )
& r2(X24,X16) )
& r2(X16,X15) )
& r3(X21,X15,X22) )
& X22 = X38 ),
file('/export/starexec/sandbox/tmp/tmp.BpB5zBoIP5/Vampire---4.8_759',greq4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : NUN060+2 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.11 % 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
% 0.11/0.30 % Computer : n005.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
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Apr 30 17:38:26 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BpB5zBoIP5/Vampire---4.8_759
% 0.61/0.78 % (879)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)
% 0.61/0.78 % (878)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78 % (876)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)
% 0.61/0.78 % (880)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)
% 0.61/0.78 % (881)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)
% 0.61/0.78 % (877)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)
% 0.61/0.78 % (883)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)
% 0.61/0.78 % (882)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)
% 0.61/0.78 % (880)First to succeed.
% 0.61/0.78 % (881)Also succeeded, but the first one will report.
% 0.61/0.79 % (877)Also succeeded, but the first one will report.
% 0.61/0.79 % (880)Refutation found. Thanks to Tanya!
% 0.61/0.79 % SZS status Theorem for Vampire---4
% 0.61/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79 % (880)------------------------------
% 0.61/0.79 % (880)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (880)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (880)Memory used [KB]: 1072
% 0.61/0.79 % (880)Time elapsed: 0.004 s
% 0.61/0.79 % (880)Instructions burned: 6 (million)
% 0.61/0.79 % (880)------------------------------
% 0.61/0.79 % (880)------------------------------
% 0.61/0.79 % (874)Success in time 0.477 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------