TSTP Solution File: SEV517+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV517+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 16:04:13 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 7 unt; 0 def)
% Number of atoms : 177 ( 16 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 206 ( 73 ~; 60 |; 49 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 126 ( 102 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(subsumption_resolution,[],[f280,f133]) ).
fof(f133,plain,
member(sK0,sK1),
inference(resolution,[],[f117,f80]) ).
fof(f80,plain,
member(sK0,difference(sK1,sK2)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ! [X4] :
( ~ member(sK0,X4)
| ~ member(X4,difference(sK3,singleton(sK2))) )
& partition(sK3,sK1)
& member(sK0,difference(sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f41,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2,X3] :
( ! [X4] :
( ~ member(X0,X4)
| ~ member(X4,difference(X3,singleton(X2))) )
& partition(X3,X1)
& member(X0,difference(X1,X2)) )
=> ( ! [X4] :
( ~ member(sK0,X4)
| ~ member(X4,difference(sK3,singleton(sK2))) )
& partition(sK3,sK1)
& member(sK0,difference(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0,X1,X2,X3] :
( ! [X4] :
( ~ member(X0,X4)
| ~ member(X4,difference(X3,singleton(X2))) )
& partition(X3,X1)
& member(X0,difference(X1,X2)) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0,X1,X2,X3] :
( ! [X4] :
( ~ member(X0,X4)
| ~ member(X4,difference(X3,singleton(X2))) )
& partition(X3,X1)
& member(X0,difference(X1,X2)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0,X1,X2,X3] :
( ( partition(X3,X1)
& member(X0,difference(X1,X2)) )
=> ? [X4] :
( member(X0,X4)
& member(X4,difference(X3,singleton(X2))) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X2,X0,X1,X10] :
( ( partition(X10,X0)
& member(X2,difference(X0,X1)) )
=> ? [X11] :
( member(X2,X11)
& member(X11,difference(X10,singleton(X1))) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X2,X0,X1,X10] :
( ( partition(X10,X0)
& member(X2,difference(X0,X1)) )
=> ? [X11] :
( member(X2,X11)
& member(X11,difference(X10,singleton(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f280,plain,
~ member(sK0,sK1),
inference(resolution,[],[f203,f81]) ).
fof(f81,plain,
partition(sK3,sK1),
inference(cnf_transformation,[],[f47]) ).
fof(f203,plain,
! [X0] :
( ~ partition(sK3,X0)
| ~ member(sK0,X0) ),
inference(subsumption_resolution,[],[f201,f134]) ).
fof(f134,plain,
~ member(sK0,sK2),
inference(resolution,[],[f118,f80]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f201,plain,
! [X0] :
( member(sK0,sK2)
| ~ member(sK0,X0)
| ~ partition(sK3,X0) ),
inference(superposition,[],[f89,f187]) ).
fof(f187,plain,
sK2 = sK5(sK3,sK0),
inference(subsumption_resolution,[],[f186,f133]) ).
fof(f186,plain,
( ~ member(sK0,sK1)
| sK2 = sK5(sK3,sK0) ),
inference(resolution,[],[f185,f81]) ).
fof(f185,plain,
! [X0] :
( ~ partition(sK3,X0)
| ~ member(sK0,X0)
| sK2 = sK5(sK3,sK0) ),
inference(subsumption_resolution,[],[f184,f133]) ).
fof(f184,plain,
! [X0] :
( ~ member(sK0,sK1)
| sK2 = sK5(sK3,sK0)
| ~ member(sK0,X0)
| ~ partition(sK3,X0) ),
inference(resolution,[],[f164,f89]) ).
fof(f164,plain,
! [X0] :
( ~ member(sK0,sK5(sK3,X0))
| ~ member(X0,sK1)
| sK2 = sK5(sK3,X0) ),
inference(resolution,[],[f163,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( member(X0,singleton(X1))
| X0 != X1 )
& ( X0 = X1
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f163,plain,
! [X0] :
( member(sK5(sK3,X0),singleton(sK2))
| ~ member(sK0,sK5(sK3,X0))
| ~ member(X0,sK1) ),
inference(resolution,[],[f159,f145]) ).
fof(f145,plain,
! [X0] :
( member(sK5(sK3,X0),sK3)
| ~ member(X0,sK1) ),
inference(resolution,[],[f88,f81]) ).
fof(f88,plain,
! [X0,X1,X5] :
( ~ partition(X0,X1)
| ~ member(X5,X1)
| member(sK5(X0,X5),X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( X2 = X3
| ! [X4] :
( ~ member(X4,X3)
| ~ member(X4,X2) )
| ~ member(X3,X0)
| ~ member(X2,X0) )
& ! [X5] :
( ( member(X5,sK5(X0,X5))
& member(sK5(X0,X5),X0) )
| ~ member(X5,X1) )
& ! [X7] :
( subset(X7,X1)
| ~ member(X7,X0) ) )
| ~ partition(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f44,f52]) ).
fof(f52,plain,
! [X0,X5] :
( ? [X6] :
( member(X5,X6)
& member(X6,X0) )
=> ( member(X5,sK5(X0,X5))
& member(sK5(X0,X5),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( X2 = X3
| ! [X4] :
( ~ member(X4,X3)
| ~ member(X4,X2) )
| ~ member(X3,X0)
| ~ member(X2,X0) )
& ! [X5] :
( ? [X6] :
( member(X5,X6)
& member(X6,X0) )
| ~ member(X5,X1) )
& ! [X7] :
( subset(X7,X1)
| ~ member(X7,X0) ) )
| ~ partition(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( X2 = X3
| ! [X4] :
( ~ member(X4,X3)
| ~ member(X4,X2) )
| ~ member(X3,X0)
| ~ member(X2,X0) )
& ! [X5] :
( ? [X6] :
( member(X5,X6)
& member(X6,X0) )
| ~ member(X5,X1) )
& ! [X7] :
( subset(X7,X1)
| ~ member(X7,X0) ) )
| ~ partition(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( partition(X0,X1)
=> ( ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X5] :
( member(X5,X1)
=> ? [X6] :
( member(X5,X6)
& member(X6,X0) ) )
& ! [X7] :
( member(X7,X0)
=> subset(X7,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X5] :
( member(X5,X1)
=> ? [X6] :
( member(X5,X6)
& member(X6,X0) ) )
& ! [X7] :
( member(X7,X0)
=> subset(X7,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X3] :
( partition(X0,X3)
<=> ( ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( ? [X5] :
( member(X5,X4)
& member(X5,X2) )
=> X2 = X4 ) )
& ! [X2] :
( member(X2,X3)
=> ? [X4] :
( member(X2,X4)
& member(X4,X0) ) )
& ! [X2] :
( member(X2,X0)
=> subset(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f159,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,singleton(sK2))
| ~ member(sK0,X0) ),
inference(resolution,[],[f119,f82]) ).
fof(f82,plain,
! [X4] :
( ~ member(X4,difference(sK3,singleton(sK2)))
| ~ member(sK0,X4) ),
inference(cnf_transformation,[],[f47]) ).
fof(f119,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f89,plain,
! [X0,X1,X5] :
( member(X5,sK5(X0,X5))
| ~ member(X5,X1)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV517+1 : TPTP v8.2.0. Released v7.3.0.
% 0.06/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:36:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 % (18263)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (18267)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.20/0.42 % (18263)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (18271)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.20/0.42 % (18263)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (18266)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.20/0.42 % (18263)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (18269)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.42 % (18269)Refutation not found, incomplete strategy% (18269)------------------------------
% 0.20/0.42 % (18269)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (18269)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (18269)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42 % (18269)Memory used [KB]: 1168
% 0.20/0.42 % (18269)Time elapsed: 0.004 s
% 0.20/0.42 % (18269)Instructions burned: 2 (million)
% 0.20/0.42 % (18263)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (18272)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.20/0.42 % (18269)------------------------------
% 0.20/0.42 % (18269)------------------------------
% 0.20/0.42 % (18263)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (18273)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.20/0.43 % (18272)Refutation not found, incomplete strategy% (18272)------------------------------
% 0.20/0.43 % (18272)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (18272)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (18272)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43 % (18272)Memory used [KB]: 1185
% 0.20/0.43 % (18272)Time elapsed: 0.005 s
% 0.20/0.43 % (18272)Instructions burned: 4 (million)
% 0.20/0.43 % (18263)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (18268)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.20/0.43 % (18272)------------------------------
% 0.20/0.43 % (18272)------------------------------
% 0.20/0.43 % (18271)First to succeed.
% 0.20/0.43 % (18271)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18263"
% 0.20/0.43 % (18263)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (18271)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (18271)------------------------------
% 0.20/0.43 % (18271)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (18271)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (18271)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (18271)Memory used [KB]: 1240
% 0.20/0.43 % (18271)Time elapsed: 0.013 s
% 0.20/0.43 % (18271)Instructions burned: 15 (million)
% 0.20/0.43 % (18271)------------------------------
% 0.20/0.43 % (18271)------------------------------
% 0.20/0.43 % (18263)Success in time 0.072 s
%------------------------------------------------------------------------------