TSTP Solution File: NUN062+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN062+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/sandbox2/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 : Sun May 5 08:44:23 EDT 2024
% Result : Theorem 0.61s 0.76s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 12 unt; 0 def)
% Number of atoms : 148 ( 55 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 159 ( 56 ~; 37 |; 58 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 132 ( 92 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,plain,
$false,
inference(subsumption_resolution,[],[f111,f76]) ).
fof(f76,plain,
! [X0] : ~ r2(X0,sK5),
inference(unit_resulting_resolution,[],[f67,f65]) ).
fof(f65,plain,
! [X2,X0] :
( ~ r1(X2)
| ~ r2(X0,X2) ),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r1(X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PAfBXNLC3H/Vampire---4.8_20179',axiom_7a) ).
fof(f67,plain,
r1(sK5),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X1] :
( r1(X1)
| sK5 != X1 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1] :
( ( sK5 = X1
& r1(X1) )
| ( sK5 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f1,f27]) ).
fof(f27,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK5 = X1
& r1(X1) )
| ( sK5 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PAfBXNLC3H/Vampire---4.8_20179',axiom_1) ).
fof(f111,plain,
r2(sK5,sK5),
inference(forward_demodulation,[],[f99,f93]) ).
fof(f93,plain,
! [X0] : sK5 = X0,
inference(unit_resulting_resolution,[],[f69,f88]) ).
fof(f88,plain,
! [X2,X3] :
( sK5 = X2
| ~ r3(sK0,X2,X3) ),
inference(backward_demodulation,[],[f63,f83]) ).
fof(f83,plain,
! [X0] : sK5 = sK1(X0),
inference(unit_resulting_resolution,[],[f80,f48]) ).
fof(f48,plain,
! [X1] :
( sK5 = X1
| ~ r1(X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f80,plain,
! [X0] : r1(sK1(X0)),
inference(unit_resulting_resolution,[],[f69,f64]) ).
fof(f64,plain,
! [X2,X3] :
( r1(sK1(X2))
| ~ r3(sK0,X2,X3) ),
inference(equality_resolution,[],[f39]) ).
fof(f39,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK0,X2,X3)
| r1(sK1(X2)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(sK0,X2,X3) )
| ( sK1(X2) = X2
& r1(sK1(X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f20,f22,f21]) ).
fof(f21,plain,
( ? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) )
=> ! [X2,X1] :
( ! [X3] :
( X1 != X3
| ~ r3(sK0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X2] :
( ? [X4] :
( X2 = X4
& r1(X4) )
=> ( sK1(X2) = X2
& r1(sK1(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
? [X1,X2] :
( ? [X3] :
( X1 = X3
& r3(X0,X2,X3) )
& ! [X4] :
( X2 != X4
| ~ r1(X4) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X13] :
? [X21,X38] :
( ? [X22] :
( X21 = X22
& r3(X13,X38,X22) )
& ! [X15] :
( X15 != X38
| ~ r1(X15) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X13] :
? [X21,X38] :
( ? [X22] :
( X21 = X22
& r3(X13,X38,X22) )
& ! [X15] :
( X15 != X38
| ~ r1(X15) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PAfBXNLC3H/Vampire---4.8_20179',infiniteNumbers) ).
fof(f63,plain,
! [X2,X3] :
( ~ r3(sK0,X2,X3)
| sK1(X2) = X2 ),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK0,X2,X3)
| sK1(X2) = X2 ),
inference(cnf_transformation,[],[f23]) ).
fof(f69,plain,
! [X0,X1] : r3(X0,X1,sK12(X0,X1)),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X3,X0,X1] :
( r3(X0,X1,X3)
| sK12(X0,X1) != X3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X3] :
( ( sK12(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK12(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f19,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) )
=> ! [X3] :
( ( sK12(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK12(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,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/sandbox2/tmp/tmp.PAfBXNLC3H/Vampire---4.8_20179',axiom_3) ).
fof(f99,plain,
! [X0,X1] : r2(sK5,sK10(X0,X1)),
inference(backward_demodulation,[],[f62,f93]) ).
fof(f62,plain,
! [X0,X1] : r2(sK9(X0,X1),sK10(X0,X1)),
inference(definition_unfolding,[],[f56,f55]) ).
fof(f55,plain,
! [X0,X1] : sK8(X0,X1) = sK10(X0,X1),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( r3(X0,X1,sK9(X0,X1))
& r2(sK9(X0,X1),sK8(X0,X1))
& sK8(X0,X1) = sK10(X0,X1)
& r3(X0,sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK11(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f18,f35,f34,f33,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK8(X0,X1)) )
& ? [X4] :
( sK8(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK8(X0,X1)) )
=> ( r3(X0,X1,sK9(X0,X1))
& r2(sK9(X0,X1),sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X4] :
( sK8(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK8(X0,X1) = sK10(X0,X1)
& ? [X5] :
( r3(X0,X5,sK10(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK10(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PAfBXNLC3H/Vampire---4.8_20179',axiom_1a) ).
fof(f56,plain,
! [X0,X1] : r2(sK9(X0,X1),sK8(X0,X1)),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.14 % 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
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:51:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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.PAfBXNLC3H/Vampire---4.8_20179
% 0.60/0.75 % (20375)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)
% 0.60/0.75 % (20378)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)
% 0.60/0.75 % (20371)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)
% 0.60/0.75 % (20372)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)
% 0.60/0.75 % (20373)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (20374)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)
% 0.60/0.75 % (20375)Refutation not found, incomplete strategy% (20375)------------------------------
% 0.60/0.75 % (20375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (20378)Refutation not found, incomplete strategy% (20378)------------------------------
% 0.60/0.75 % (20378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (20375)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75 % (20378)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75
% 0.60/0.75 % (20375)Memory used [KB]: 1058
% 0.60/0.75 % (20378)Memory used [KB]: 1039
% 0.60/0.75 % (20375)Time elapsed: 0.002 s
% 0.60/0.75 % (20378)Time elapsed: 0.002 s
% 0.60/0.75 % (20378)Instructions burned: 3 (million)
% 0.60/0.75 % (20375)Instructions burned: 4 (million)
% 0.60/0.75 % (20376)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)
% 0.60/0.75 % (20378)------------------------------
% 0.60/0.75 % (20378)------------------------------
% 0.60/0.75 % (20375)------------------------------
% 0.60/0.75 % (20375)------------------------------
% 0.60/0.75 % (20377)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)
% 0.60/0.76 % (20376)Refutation not found, incomplete strategy% (20376)------------------------------
% 0.60/0.76 % (20376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (20376)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (20371)Refutation not found, incomplete strategy% (20371)------------------------------
% 0.60/0.76 % (20371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (20371)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (20371)Memory used [KB]: 1056
% 0.60/0.76 % (20371)Time elapsed: 0.004 s
% 0.60/0.76 % (20371)Instructions burned: 4 (million)
% 0.60/0.76 % (20376)Memory used [KB]: 1039
% 0.60/0.76 % (20376)Time elapsed: 0.003 s
% 0.60/0.76 % (20376)Instructions burned: 3 (million)
% 0.60/0.76 % (20374)First to succeed.
% 0.60/0.76 % (20372)Also succeeded, but the first one will report.
% 0.60/0.76 % (20371)------------------------------
% 0.60/0.76 % (20371)------------------------------
% 0.60/0.76 % (20376)------------------------------
% 0.60/0.76 % (20376)------------------------------
% 0.60/0.76 % (20381)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.76 % (20377)Also succeeded, but the first one will report.
% 0.61/0.76 % (20382)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.61/0.76 % (20373)Also succeeded, but the first one will report.
% 0.61/0.76 % (20374)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20325"
% 0.61/0.76 % (20381)Also succeeded, but the first one will report.
% 0.61/0.76 % (20374)Refutation found. Thanks to Tanya!
% 0.61/0.76 % SZS status Theorem for Vampire---4
% 0.61/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76 % (20374)------------------------------
% 0.61/0.76 % (20374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (20374)Termination reason: Refutation
% 0.61/0.76
% 0.61/0.76 % (20374)Memory used [KB]: 1055
% 0.61/0.76 % (20374)Time elapsed: 0.005 s
% 0.61/0.76 % (20374)Instructions burned: 5 (million)
% 0.61/0.76 % (20325)Success in time 0.401 s
% 0.61/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------