TSTP Solution File: SWC309+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC309+1 : TPTP v8.2.0. Released v2.4.0.
% 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 : n024.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 : Tue May 21 04:38:01 EDT 2024
% Result : Theorem 0.48s 0.65s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 7 unt; 0 def)
% Number of atoms : 347 ( 156 equ)
% Maximal formula atoms : 34 ( 7 avg)
% Number of connectives : 471 ( 171 ~; 152 |; 123 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 143 ( 97 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f220,plain,
$false,
inference(subsumption_resolution,[],[f217,f139]) ).
fof(f139,plain,
ssList(sK3),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( nil != sK3
| nil = sK2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK3
| app(X5,cons(X4,nil)) = sK2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != sK0
| app(cons(X6,nil),X7) != sK1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK1,nil)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f100,f124,f123,f122,f121]) ).
fof(f121,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| app(X5,cons(X4,nil)) = X2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != X0
| app(cons(X6,nil),X7) != X1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| app(X5,cons(X4,nil)) = X2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != sK0
| app(cons(X6,nil),X7) != X1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil)
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| app(X5,cons(X4,nil)) = X2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != sK0
| app(cons(X6,nil),X7) != X1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil)
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| app(X5,cons(X4,nil)) = X2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != sK0
| app(cons(X6,nil),X7) != sK1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK1,nil)
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| app(X5,cons(X4,nil)) = X2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != sK0
| app(cons(X6,nil),X7) != sK1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK1,nil)
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != X3
| nil = sK2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| app(X5,cons(X4,nil)) = sK2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != sK0
| app(cons(X6,nil),X7) != sK1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK1,nil)
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X3] :
( ( nil != X3
| nil = sK2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| app(X5,cons(X4,nil)) = sK2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != sK0
| app(cons(X6,nil),X7) != sK1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK1,nil)
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( nil != sK3
| nil = sK2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK3
| app(X5,cons(X4,nil)) = sK2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != sK0
| app(cons(X6,nil),X7) != sK1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK1,nil)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| app(X5,cons(X4,nil)) = X2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != X0
| app(cons(X6,nil),X7) != X1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| app(X5,cons(X4,nil)) = X2
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ! [X6] :
( ! [X7] :
( app(X7,cons(X6,nil)) != X0
| app(cons(X6,nil),X7) != X1
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X3
& nil != X2 )
| ? [X4] :
( ? [X5] :
( app(cons(X4,nil),X5) = X3
& app(X5,cons(X4,nil)) != X2
& ssList(X5) )
& ssItem(X4) )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) = X0
& app(cons(X6,nil),X7) = X1
& ssList(X7) )
& ssItem(X6) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X3
& nil != X2 )
| ? [X6] :
( ? [X7] :
( app(cons(X6,nil),X7) = X3
& app(X7,cons(X6,nil)) != X2
& ssList(X7) )
& ssItem(X6) )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X0
& app(cons(X4,nil),X5) = X1
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X3
& nil != X2 )
| ? [X6] :
( ? [X7] :
( app(cons(X6,nil),X7) = X3
& app(X7,cons(X6,nil)) != X2
& ssList(X7) )
& ssItem(X6) )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X0
& app(cons(X4,nil),X5) = X1
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f217,plain,
~ ssList(sK3),
inference(trivial_inequality_removal,[],[f216]) ).
fof(f216,plain,
( sK3 != sK3
| ~ ssList(sK3) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
( sK3 != sK3
| ~ ssList(sK3)
| ~ ssList(sK3) ),
inference(resolution,[],[f210,f182]) ).
fof(f182,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f179]) ).
fof(f179,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f210,plain,
! [X0] :
( neq(sK3,X0)
| sK3 != X0
| ~ ssList(X0) ),
inference(superposition,[],[f174,f203]) ).
fof(f203,plain,
! [X0] :
( nil = X0
| sK3 != X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f202,f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(sK7(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( cons(sK7(X0),sK6(X0)) = X0
& ssItem(sK7(X0))
& ssList(sK6(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f103,f130,f129]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK6(X0)) = X0
& ssItem(X2) )
& ssList(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK6(X0)) = X0
& ssItem(X2) )
=> ( cons(sK7(X0),sK6(X0)) = X0
& ssItem(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f202,plain,
! [X0] :
( sK3 != X0
| ~ ssItem(sK7(X0))
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f197,f150]) ).
fof(f150,plain,
! [X0] :
( ssList(sK6(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f197,plain,
! [X0] :
( sK3 != X0
| ~ ssList(sK6(X0))
| ~ ssItem(sK7(X0))
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f196,f152]) ).
fof(f152,plain,
! [X0] :
( cons(sK7(X0),sK6(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f196,plain,
! [X0,X1] :
( cons(X0,X1) != sK3
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( cons(X0,X1) != sK3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(superposition,[],[f193,f162]) ).
fof(f162,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f193,plain,
! [X6,X7] :
( app(cons(X6,nil),X7) != sK3
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(subsumption_resolution,[],[f173,f144]) ).
fof(f144,plain,
! [X4,X5] :
( app(cons(X4,nil),X5) != sK3
| app(X5,cons(X4,nil)) = sK2
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f125]) ).
fof(f173,plain,
! [X6,X7] :
( app(X7,cons(X6,nil)) != sK2
| app(cons(X6,nil),X7) != sK3
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f143,f141,f140]) ).
fof(f140,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f125]) ).
fof(f141,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f125]) ).
fof(f143,plain,
! [X6,X7] :
( app(X7,cons(X6,nil)) != sK0
| app(cons(X6,nil),X7) != sK1
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f125]) ).
fof(f174,plain,
neq(sK3,nil),
inference(definition_unfolding,[],[f142,f140]) ).
fof(f142,plain,
neq(sK1,nil),
inference(cnf_transformation,[],[f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC309+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.13 % 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
% 0.14/0.33 % Computer : n024.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun May 19 02:49:23 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.14/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.33 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/benchmark/theBenchmark.p
% 0.48/0.65 % (31975)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.48/0.65 % (31969)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.65 % (31971)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.48/0.65 % (31972)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.48/0.65 % (31970)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 theBenchmark for (2996ds/51Mi)
% 0.48/0.65 % (31974)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.65 % (31975)First to succeed.
% 0.48/0.65 % (31975)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31968"
% 0.48/0.65 % (31975)Refutation found. Thanks to Tanya!
% 0.48/0.65 % SZS status Theorem for theBenchmark
% 0.48/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.65 % (31975)------------------------------
% 0.48/0.65 % (31975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.65 % (31975)Termination reason: Refutation
% 0.48/0.65
% 0.48/0.65 % (31975)Memory used [KB]: 1161
% 0.48/0.65 % (31975)Time elapsed: 0.004 s
% 0.48/0.65 % (31975)Instructions burned: 8 (million)
% 0.48/0.65 % (31968)Success in time 0.309 s
% 0.48/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------