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 : n025.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 03:36:17 EDT 2024
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% Number of atoms : 138 ( 38 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 136 ( 34 ~; 24 |; 68 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 132 ( 77 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,plain,
$false,
inference(resolution,[],[f124,f118]) ).
fof(f118,plain,
! [X0,X1] : ~ r1(sK11(X0,X1)),
inference(resolution,[],[f110,f78]) ).
fof(f78,plain,
! [X0,X1] : r2(X1,sK11(X0,X1)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( r4(X0,X1,sK9(X0,X1))
& r3(sK9(X0,X1),X0,sK8(X0,X1))
& sK8(X0,X1) = sK10(X0,X1)
& r4(X0,sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK11(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f18,f42,f41,f40,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK8(X0,X1)) )
& ? [X4] :
( sK8(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK8(X0,X1)) )
=> ( r4(X0,X1,sK9(X0,X1))
& r3(sK9(X0,X1),X0,sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X4] :
( sK8(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK8(X0,X1) = sK10(X0,X1)
& ? [X5] :
( r4(X0,X5,sK10(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK10(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ukikEqCsyd/Vampire---4.8_7749',axiom_2a) ).
fof(f110,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r1(X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,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.ukikEqCsyd/Vampire---4.8_7749',axiom_7a) ).
fof(f124,plain,
! [X0] : r1(X0),
inference(forward_demodulation,[],[f123,f122]) ).
fof(f122,plain,
! [X0] : sK21(X0) = X0,
inference(resolution,[],[f77,f111]) ).
fof(f111,plain,
! [X2,X3] :
( ~ r3(sK20,X2,X3)
| sK21(X2) = X2 ),
inference(equality_resolution,[],[f97]) ).
fof(f97,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK20,X2,X3)
| sK21(X2) = X2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(sK20,X2,X3) )
| ( sK21(X2) = X2
& r1(sK21(X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f25,f55,f54]) ).
fof(f54,plain,
( ? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) )
=> ! [X2,X1] :
( ! [X3] :
( X1 != X3
| ~ r3(sK20,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X2] :
( ? [X4] :
( X2 = X4
& r1(X4) )
=> ( sK21(X2) = X2
& r1(sK21(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
! [X1,X2] :
( ! [X3] :
( X1 != X3
| ~ r3(X0,X2,X3) )
| ? [X4] :
( X2 = X4
& r1(X4) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,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.ukikEqCsyd/Vampire---4.8_7749',infiniteNumbers) ).
fof(f77,plain,
! [X0,X1] : r3(X0,X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( r3(X0,X1,sK5(X0,X1))
& r2(sK5(X0,X1),sK4(X0,X1))
& sK4(X0,X1) = sK6(X0,X1)
& r3(X0,sK7(X0,X1),sK6(X0,X1))
& r2(X1,sK7(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f17,f37,f36,f35,f34]) ).
fof(f34,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,sK4(X0,X1)) )
& ? [X4] :
( sK4(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,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(f36,plain,
! [X0,X1] :
( ? [X4] :
( sK4(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK4(X0,X1) = sK6(X0,X1)
& ? [X5] :
( r3(X0,X5,sK6(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,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(f17,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.ukikEqCsyd/Vampire---4.8_7749',axiom_1a) ).
fof(f123,plain,
! [X0] : r1(sK21(X0)),
inference(resolution,[],[f77,f112]) ).
fof(f112,plain,
! [X2,X3] :
( ~ r3(sK20,X2,X3)
| r1(sK21(X2)) ),
inference(equality_resolution,[],[f96]) ).
fof(f96,plain,
! [X2,X3,X1] :
( X1 != X3
| ~ r3(sK20,X2,X3)
| r1(sK21(X2)) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 17:55:56 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.ukikEqCsyd/Vampire---4.8_7749
% 0.62/0.81 % (8032)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)
% 0.62/0.81 % (8038)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)
% 0.62/0.81 % (8038)Refutation not found, incomplete strategy% (8038)------------------------------
% 0.62/0.81 % (8038)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (8031)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)
% 0.62/0.81 % (8038)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (8038)Memory used [KB]: 1038
% 0.62/0.81 % (8038)Time elapsed: 0.002 s
% 0.62/0.81 % (8038)Instructions burned: 3 (million)
% 0.62/0.81 % (8038)------------------------------
% 0.62/0.81 % (8038)------------------------------
% 0.62/0.81 % (8033)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81 % (8034)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)
% 0.62/0.81 % (8036)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)
% 0.62/0.81 % (8035)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)
% 0.62/0.81 % (8032)First to succeed.
% 0.62/0.81 % (8037)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)
% 0.62/0.81 % (8032)Refutation found. Thanks to Tanya!
% 0.62/0.81 % SZS status Theorem for Vampire---4
% 0.62/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81 % (8032)------------------------------
% 0.62/0.81 % (8032)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (8032)Termination reason: Refutation
% 0.62/0.81
% 0.62/0.81 % (8032)Memory used [KB]: 1054
% 0.62/0.81 % (8032)Time elapsed: 0.003 s
% 0.62/0.81 % (8032)Instructions burned: 5 (million)
% 0.62/0.81 % (8032)------------------------------
% 0.62/0.81 % (8032)------------------------------
% 0.62/0.81 % (7913)Success in time 0.452 s
% 0.62/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------