TSTP Solution File: SET701+4 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SET701+4 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.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 : Mon Jun 24 14:53:17 EDT 2024
% Result : Theorem 0.17s 0.38s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 71 ( 4 unt; 0 def)
% Number of atoms : 174 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 177 ( 74 ~; 73 |; 11 &)
% ( 13 <=>; 4 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 78 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ7_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
fof(f176,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f102,f120,f147,f168,f175]) ).
fof(f175,plain,
( ~ spl8_1
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f174]) ).
fof(f174,plain,
( $false
| ~ spl8_1
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f171,f96]) ).
fof(f96,plain,
( subset(sK0,sK1)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl8_1
<=> subset(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f171,plain,
( ~ subset(sK0,sK1)
| ~ spl8_1
| ~ spl8_4 ),
inference(resolution,[],[f170,f70]) ).
fof(f70,plain,
! [X0,X1] :
( member(sK4(X0,X1),X1)
| ~ subset(X0,X1) ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f170,plain,
( ~ member(sK4(sK0,sK1),sK1)
| ~ spl8_1
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f169,f123]) ).
fof(f123,plain,
( ~ member(sK4(sK0,sK1),sK3)
| ~ spl8_1 ),
inference(resolution,[],[f117,f121]) ).
fof(f121,plain,
( ~ member(sK4(sK0,sK1),sK0)
| ~ spl8_1 ),
inference(resolution,[],[f96,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ member(sK4(X0,X1),X0) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f117,plain,
! [X0] :
( member(X0,sK0)
| ~ member(X0,sK3) ),
inference(resolution,[],[f72,f66]) ).
fof(f66,plain,
~ subset(sK0,sK3),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f30,plain,
subset(sK0,sK3),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
? [X0,X1,X2,X3] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) )
& subset(X1,X3)
& subset(X0,X3) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X0,X1,X2,X3] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) )
& subset(X1,X3)
& subset(X0,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1,X2,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X5,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),intersection(X5,difference(X3,X5))) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1,X5,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),intersection(X5,difference(X3,X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f72,plain,
! [X2,X0,X1] :
( subset(X0,X1)
| ~ member(X2,X1)
| member(X2,X0) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f169,plain,
( ~ member(sK4(sK0,sK1),sK1)
| member(sK4(sK0,sK1),sK3)
| ~ spl8_4 ),
inference(resolution,[],[f146,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1)
| member(X0,X2) ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| member(X0,X1)
| member(X0,difference(X2,X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( ~ member(X0,X1)
& member(X0,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0,X3] :
( member(X1,difference(X3,X0))
<=> ( ~ member(X1,X0)
& member(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f146,plain,
( member(sK4(sK0,sK1),difference(sK3,sK1))
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl8_4
<=> member(sK4(sK0,sK1),difference(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f168,plain,
spl8_3,
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f167,plain,
( $false
| spl8_3 ),
inference(subsumption_resolution,[],[f165,f148]) ).
fof(f148,plain,
( ~ member(sK4(sK0,sK1),sK2)
| spl8_3 ),
inference(resolution,[],[f142,f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X2)
& member(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f142,plain,
( ~ member(sK4(sK0,sK1),intersection(sK2,difference(sK3,sK2)))
| spl8_3 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl8_3
<=> member(sK4(sK0,sK1),intersection(sK2,difference(sK3,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f165,plain,
( member(sK4(sK0,sK1),sK2)
| spl8_3 ),
inference(resolution,[],[f149,f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f149,plain,
( ~ member(sK4(sK0,sK1),difference(sK3,sK2))
| spl8_3 ),
inference(resolution,[],[f142,f91]) ).
fof(f91,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f147,plain,
( ~ spl8_3
| spl8_4
| ~ spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f138,f98,f94,f144,f140]) ).
fof(f98,plain,
( spl8_2
<=> subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f138,plain,
( member(sK4(sK0,sK1),difference(sK3,sK1))
| ~ member(sK4(sK0,sK1),intersection(sK2,difference(sK3,sK2)))
| ~ spl8_1
| spl8_2 ),
inference(resolution,[],[f136,f121]) ).
fof(f136,plain,
( ! [X0] :
( member(X0,sK0)
| member(X0,difference(sK3,sK1))
| ~ member(X0,intersection(sK2,difference(sK3,sK2))) )
| spl8_2 ),
inference(resolution,[],[f90,f122]) ).
fof(f122,plain,
( ! [X0] :
( member(X0,intersection(sK0,difference(sK3,sK1)))
| ~ member(X0,intersection(sK2,difference(sK3,sK2))) )
| spl8_2 ),
inference(resolution,[],[f99,f72]) ).
fof(f99,plain,
( ~ subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| spl8_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f120,plain,
( spl8_1
| ~ spl8_2 ),
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| spl8_1
| ~ spl8_2 ),
inference(subsumption_resolution,[],[f118,f111]) ).
fof(f111,plain,
( member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),sK1)
| ~ spl8_2 ),
inference(resolution,[],[f109,f88]) ).
fof(f109,plain,
( ~ member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),difference(sK3,sK1))
| ~ spl8_2 ),
inference(resolution,[],[f91,f103]) ).
fof(f103,plain,
( ~ member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),intersection(sK0,difference(sK3,sK1)))
| ~ spl8_2 ),
inference(resolution,[],[f71,f100]) ).
fof(f100,plain,
( subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f118,plain,
( ~ member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),sK1)
| spl8_1
| ~ spl8_2 ),
inference(resolution,[],[f115,f112]) ).
fof(f112,plain,
( ~ member(sK4(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2))),sK0)
| ~ spl8_2 ),
inference(resolution,[],[f92,f103]) ).
fof(f115,plain,
( ! [X0] :
( member(X0,sK0)
| ~ member(X0,sK1) )
| spl8_1 ),
inference(resolution,[],[f72,f95]) ).
fof(f95,plain,
( ~ subset(sK0,sK1)
| spl8_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f102,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f68,f98,f94]) ).
fof(f68,plain,
( ~ subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| ~ subset(sK0,sK1) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f28,plain,
( subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| subset(sK0,sK1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f101,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f67,f98,f94]) ).
fof(f67,plain,
( subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| subset(sK0,sK1) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f29,plain,
( ~ subset(intersection(sK0,difference(sK3,sK1)),intersection(sK2,difference(sK3,sK2)))
| ~ subset(sK0,sK1) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET701+4 : TPTP v8.2.0. Released v2.2.0.
% 0.05/0.10 % Command : run_vampire %s %d THM
% 0.10/0.31 % Computer : n022.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sun Jun 23 12:00:09 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.32 Running first-order theorem proving
% 0.16/0.32 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.38 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (23456)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=117:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2999ds/117Mi)
% 0.17/0.38 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (23451)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.17/0.38 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (23455)lrs-1011_37821:262144_bsr=unit_only:sil=2000:fde=none:plsq=on:plsqr=43543,131072:bce=on:rnwc=on:plsql=on:rp=on:nwc=10.0:newcnf=on:i=109:awrs=decay:awrsf=10:ep=R:mep=off:amm=sco_0 on theBenchmark for (2999ds/109Mi)
% 0.17/0.38 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (23453)dis+1011_1:99_anc=none:fde=unused:plsqc=2:bsd=on:plsq=on:plsqr=109,504:sp=reverse_frequency:spb=intro:rp=on:alpa=random:s2a=on:i=257151:s2at=-1.0:aac=none:nm=16:rawr=on:sil=256000:acc=model_0 on theBenchmark for (2999ds/257151Mi)
% 0.17/0.38 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (23457)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.17/0.38 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (23452)lrs+1011_8:1_sil=128000:tgt=ground:fde=unused:sp=frequency:nwc=5.0:lwlo=on:i=105338:awrs=converge:awrsf=1385:av=off_0 on theBenchmark for (2999ds/105338Mi)
% 0.17/0.38 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (23454)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.17/0.38 % (23457)Refutation not found, incomplete strategy% (23457)------------------------------
% 0.17/0.38 % (23457)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.38 % (23457)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.38 % (23457)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.38
% 0.17/0.38 % (23457)Memory used [KB]: 1131
% 0.17/0.38 % (23457)Time elapsed: 0.002 s
% 0.17/0.38 % (23457)Instructions burned: 2 (million)
% 0.17/0.38 % (23455)First to succeed.
% 0.17/0.38 % (23457)------------------------------
% 0.17/0.38 % (23457)------------------------------
% 0.17/0.38 % (23455)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23450"
% 0.17/0.38 % (23450)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (23455)Refutation found. Thanks to Tanya!
% 0.17/0.38 % SZS status Theorem for theBenchmark
% 0.17/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.38 % (23455)------------------------------
% 0.17/0.38 % (23455)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.38 % (23455)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.38 % (23455)Termination reason: Refutation
% 0.17/0.38
% 0.17/0.38 % (23455)Memory used [KB]: 1189
% 0.17/0.38 % (23455)Time elapsed: 0.006 s
% 0.17/0.38 % (23455)Instructions burned: 9 (million)
% 0.17/0.38 % (23455)------------------------------
% 0.17/0.38 % (23455)------------------------------
% 0.17/0.38 % (23450)Success in time 0.058 s
%------------------------------------------------------------------------------