TSTP Solution File: NUN059+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN059+2 : TPTP v8.1.2. Bugfixed v7.4.0.
% 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 : n023.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 08:44:21 EDT 2024
% Result : Theorem 0.65s 0.82s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% Number of atoms : 124 ( 31 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 115 ( 35 ~; 22 |; 51 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 103 ( 59 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128,plain,
$false,
inference(avatar_sat_refutation,[],[f124,f127]) ).
fof(f127,plain,
~ spl20_1,
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f126,plain,
( $false
| ~ spl20_1 ),
inference(resolution,[],[f123,f117]) ).
fof(f117,plain,
! [X0] : r4(X0,sK18,sK18),
inference(backward_demodulation,[],[f115,f111]) ).
fof(f111,plain,
! [X0] : sK13(X0) = sK18,
inference(resolution,[],[f87,f72]) ).
fof(f72,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( sK11(X0) = sK12(X0)
& r1(sK12(X0))
& r4(X0,sK13(X0),sK11(X0))
& r1(sK13(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f19,f43,f42,f41]) ).
fof(f41,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( sK11(X0) = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK11(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X2] :
( sK11(X0) = X2
& r1(X2) )
=> ( sK11(X0) = sK12(X0)
& r1(sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK11(X0))
& r1(X3) )
=> ( r4(X0,sK13(X0),sK11(X0))
& r1(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,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/sandbox2/tmp/tmp.K53YfNo9TA/Vampire---4.8_27413',axiom_5a) ).
fof(f87,plain,
! [X1] :
( ~ r1(X1)
| sK18 = X1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1] :
( ( sK18 = X1
& r1(X1) )
| ( sK18 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f1,f50]) ).
fof(f50,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK18 = X1
& r1(X1) )
| ( sK18 != 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.K53YfNo9TA/Vampire---4.8_27413',axiom_1) ).
fof(f115,plain,
! [X0] : r4(X0,sK13(X0),sK18),
inference(backward_demodulation,[],[f96,f110]) ).
fof(f110,plain,
! [X0] : sK12(X0) = sK18,
inference(resolution,[],[f87,f74]) ).
fof(f74,plain,
! [X0] : r1(sK12(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f96,plain,
! [X0] : r4(X0,sK13(X0),sK12(X0)),
inference(definition_unfolding,[],[f73,f75]) ).
fof(f75,plain,
! [X0] : sK11(X0) = sK12(X0),
inference(cnf_transformation,[],[f44]) ).
fof(f73,plain,
! [X0] : r4(X0,sK13(X0),sK11(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f123,plain,
( ! [X1] : ~ r4(X1,X1,sK18)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl20_1
<=> ! [X1] : ~ r4(X1,X1,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f124,plain,
( spl20_1
| spl20_1 ),
inference(avatar_split_clause,[],[f120,f122,f122]) ).
fof(f120,plain,
! [X0,X1] :
( ~ r4(X0,X0,sK18)
| ~ r4(X1,X1,sK18) ),
inference(resolution,[],[f119,f114]) ).
fof(f114,plain,
! [X0] : r3(X0,sK18,X0),
inference(backward_demodulation,[],[f108,f109]) ).
fof(f109,plain,
! [X0] : sK1(X0) = sK18,
inference(resolution,[],[f87,f55]) ).
fof(f55,plain,
! [X0] : r1(sK1(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( sK0(X0) = X0
& r3(X0,sK1(X0),sK0(X0))
& r1(sK1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f27,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK0(X0) = X0
& ? [X2] :
( r3(X0,X2,sK0(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK0(X0))
& r1(X2) )
=> ( r3(X0,sK1(X0),sK0(X0))
& r1(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r3(X29,X31,X30)
& r1(X31) ) ),
file('/export/starexec/sandbox2/tmp/tmp.K53YfNo9TA/Vampire---4.8_27413',axiom_4a) ).
fof(f108,plain,
! [X0] : r3(X0,sK1(X0),X0),
inference(forward_demodulation,[],[f56,f57]) ).
fof(f57,plain,
! [X0] : sK0(X0) = X0,
inference(cnf_transformation,[],[f28]) ).
fof(f56,plain,
! [X0] : r3(X0,sK1(X0),sK0(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( ~ r3(X1,X3,sK18)
| ~ r4(X2,X2,X3)
| ~ r4(X0,X0,X1) ),
inference(resolution,[],[f117,f97]) ).
fof(f97,plain,
! [X2,X0,X1,X6,X4,X5] :
( ~ r4(X2,X2,X6)
| ~ r4(X0,X0,X5)
| ~ r4(X1,X1,X4)
| ~ r3(X5,X4,X6) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r3(X5,X4,X3)
| ~ r4(X0,X0,X5)
| ~ r4(X1,X1,X4)
| X3 != X6
| ~ r4(X2,X2,X6) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( ~ r3(X5,X4,X3)
| ~ r4(X0,X0,X5) )
| ~ r4(X1,X1,X4) )
| ! [X6] :
( X3 != X6
| ~ r4(X2,X2,X6) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( r3(X5,X4,X3)
& r4(X0,X0,X5) )
& r4(X1,X1,X4) )
& ? [X6] :
( X3 = X6
& r4(X2,X2,X6) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38,X22,X21,X15] :
( ? [X24] :
( ? [X18] :
( r3(X18,X24,X15)
& r4(X38,X38,X18) )
& r4(X22,X22,X24) )
& ? [X16] :
( X15 = X16
& r4(X21,X21,X16) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38,X22,X21,X15] :
( ? [X24] :
( ? [X18] :
( r3(X18,X24,X15)
& r4(X38,X38,X18) )
& r4(X22,X22,X24) )
& ? [X16] :
( X15 = X16
& r4(X21,X21,X16) ) ),
file('/export/starexec/sandbox2/tmp/tmp.K53YfNo9TA/Vampire---4.8_27413',fermattothepoweroftwo) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN059+2 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.08/0.15 % 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
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 18:53:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.K53YfNo9TA/Vampire---4.8_27413
% 0.65/0.81 % (27575)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)
% 0.65/0.81 % (27577)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.81 % (27578)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)
% 0.65/0.81 % (27579)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)
% 0.65/0.81 % (27576)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)
% 0.65/0.81 % (27580)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)
% 0.65/0.81 % (27581)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)
% 0.65/0.81 % (27582)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)
% 0.65/0.81 % (27575)Refutation not found, incomplete strategy% (27575)------------------------------
% 0.65/0.81 % (27575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (27575)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (27575)Memory used [KB]: 1059
% 0.65/0.81 % (27575)Time elapsed: 0.003 s
% 0.65/0.81 % (27575)Instructions burned: 5 (million)
% 0.65/0.81 % (27575)------------------------------
% 0.65/0.81 % (27575)------------------------------
% 0.65/0.81 % (27579)Refutation not found, incomplete strategy% (27579)------------------------------
% 0.65/0.81 % (27579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (27579)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (27579)Memory used [KB]: 1057
% 0.65/0.81 % (27579)Time elapsed: 0.003 s
% 0.65/0.81 % (27579)Instructions burned: 3 (million)
% 0.65/0.81 % (27580)Refutation not found, incomplete strategy% (27580)------------------------------
% 0.65/0.81 % (27580)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (27580)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (27580)Memory used [KB]: 1054
% 0.65/0.81 % (27580)Time elapsed: 0.003 s
% 0.65/0.81 % (27580)Instructions burned: 3 (million)
% 0.65/0.81 % (27579)------------------------------
% 0.65/0.81 % (27579)------------------------------
% 0.65/0.81 % (27578)Refutation not found, incomplete strategy% (27578)------------------------------
% 0.65/0.81 % (27578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (27580)------------------------------
% 0.65/0.81 % (27580)------------------------------
% 0.65/0.81 % (27578)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (27578)Memory used [KB]: 1064
% 0.65/0.81 % (27578)Time elapsed: 0.004 s
% 0.65/0.81 % (27578)Instructions burned: 4 (million)
% 0.65/0.81 % (27577)First to succeed.
% 0.65/0.81 % (27578)------------------------------
% 0.65/0.81 % (27578)------------------------------
% 0.65/0.82 % (27577)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27570"
% 0.65/0.82 % (27582)Refutation not found, incomplete strategy% (27582)------------------------------
% 0.65/0.82 % (27582)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82 % (27582)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (27582)Memory used [KB]: 1068
% 0.65/0.82 % (27582)Time elapsed: 0.005 s
% 0.65/0.82 % (27582)Instructions burned: 6 (million)
% 0.65/0.82 % (27577)Refutation found. Thanks to Tanya!
% 0.65/0.82 % SZS status Theorem for Vampire---4
% 0.65/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.82 % (27577)------------------------------
% 0.65/0.82 % (27577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82 % (27577)Termination reason: Refutation
% 0.65/0.82
% 0.65/0.82 % (27577)Memory used [KB]: 1081
% 0.65/0.82 % (27577)Time elapsed: 0.005 s
% 0.65/0.82 % (27577)Instructions burned: 5 (million)
% 0.65/0.82 % (27570)Success in time 0.442 s
% 0.65/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------