TSTP Solution File: SEU162+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU162+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 03:50:21 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 1 unt; 0 def)
% Number of atoms : 89 ( 23 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 92 ( 41 ~; 36 |; 6 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 32 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f42,f54,f58]) ).
fof(f58,plain,
( spl4_2
| spl4_1 ),
inference(avatar_split_clause,[],[f57,f34,f38]) ).
fof(f38,plain,
( spl4_2
<=> in(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f34,plain,
( spl4_1
<=> sK2 = set_difference(sK2,singleton(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f57,plain,
( in(sK3,sK2)
| spl4_1 ),
inference(resolution,[],[f56,f45]) ).
fof(f45,plain,
! [X0,X1] :
( disjoint(X1,singleton(X0))
| in(X0,X1) ),
inference(resolution,[],[f25,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.JAESbOW9e8/Vampire---4.8_32340',symmetry_r1_xboole_0) ).
fof(f25,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.JAESbOW9e8/Vampire---4.8_32340',l28_zfmisc_1) ).
fof(f56,plain,
( ~ disjoint(sK2,singleton(sK3))
| spl4_1 ),
inference(trivial_inequality_removal,[],[f55]) ).
fof(f55,plain,
( sK2 != sK2
| ~ disjoint(sK2,singleton(sK3))
| spl4_1 ),
inference(superposition,[],[f36,f31]) ).
fof(f31,plain,
! [X0,X1] :
( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_difference(X0,X1) != X0 )
& ( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.JAESbOW9e8/Vampire---4.8_32340',t83_xboole_1) ).
fof(f36,plain,
( sK2 != set_difference(sK2,singleton(sK3))
| spl4_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f54,plain,
( ~ spl4_2
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f52,f34,f38]) ).
fof(f52,plain,
( ~ in(sK3,sK2)
| ~ spl4_1 ),
inference(resolution,[],[f51,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ disjoint(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ disjoint(singleton(X0),X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.JAESbOW9e8/Vampire---4.8_32340',l25_zfmisc_1) ).
fof(f51,plain,
( disjoint(singleton(sK3),sK2)
| ~ spl4_1 ),
inference(resolution,[],[f50,f28]) ).
fof(f50,plain,
( disjoint(sK2,singleton(sK3))
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f48]) ).
fof(f48,plain,
( sK2 != sK2
| disjoint(sK2,singleton(sK3))
| ~ spl4_1 ),
inference(superposition,[],[f32,f35]) ).
fof(f35,plain,
( sK2 = set_difference(sK2,singleton(sK3))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f32,plain,
! [X0,X1] :
( set_difference(X0,X1) != X0
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f29,f38,f34]) ).
fof(f29,plain,
( ~ in(sK3,sK2)
| sK2 = set_difference(sK2,singleton(sK3)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( in(sK3,sK2)
| sK2 != set_difference(sK2,singleton(sK3)) )
& ( ~ in(sK3,sK2)
| sK2 = set_difference(sK2,singleton(sK3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f19,f20]) ).
fof(f20,plain,
( ? [X0,X1] :
( ( in(X1,X0)
| set_difference(X0,singleton(X1)) != X0 )
& ( ~ in(X1,X0)
| set_difference(X0,singleton(X1)) = X0 ) )
=> ( ( in(sK3,sK2)
| sK2 != set_difference(sK2,singleton(sK3)) )
& ( ~ in(sK3,sK2)
| sK2 = set_difference(sK2,singleton(sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1] :
( ( in(X1,X0)
| set_difference(X0,singleton(X1)) != X0 )
& ( ~ in(X1,X0)
| set_difference(X0,singleton(X1)) = X0 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
? [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<~> ~ in(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.JAESbOW9e8/Vampire---4.8_32340',t65_zfmisc_1) ).
fof(f41,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f30,f38,f34]) ).
fof(f30,plain,
( in(sK3,sK2)
| sK2 != set_difference(sK2,singleton(sK3)) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU162+3 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n016.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
% 0.15/0.36 % DateTime : Tue Apr 30 16:48:11 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.JAESbOW9e8/Vampire---4.8_32340
% 0.56/0.74 % (32706)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 (2996ds/56Mi)
% 0.56/0.74 % (32706)Refutation not found, incomplete strategy% (32706)------------------------------
% 0.56/0.74 % (32706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (32706)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (32706)Memory used [KB]: 966
% 0.56/0.74 % (32706)Time elapsed: 0.002 s
% 0.56/0.74 % (32706)Instructions burned: 2 (million)
% 0.56/0.74 % (32706)------------------------------
% 0.56/0.74 % (32706)------------------------------
% 0.56/0.74 % (32699)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 (2996ds/34Mi)
% 0.56/0.74 % (32701)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (32702)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74 % (32700)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 (2996ds/51Mi)
% 0.56/0.74 % (32703)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 (2996ds/34Mi)
% 0.56/0.74 % (32704)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74 % (32705)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 (2996ds/83Mi)
% 0.56/0.74 % (32703)Refutation not found, incomplete strategy% (32703)------------------------------
% 0.56/0.74 % (32703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (32703)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (32703)Memory used [KB]: 967
% 0.56/0.74 % (32699)Refutation not found, incomplete strategy% (32699)------------------------------
% 0.56/0.74 % (32699)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (32703)Time elapsed: 0.003 s
% 0.56/0.74 % (32703)Instructions burned: 2 (million)
% 0.56/0.74 % (32703)------------------------------
% 0.56/0.74 % (32703)------------------------------
% 0.56/0.74 % (32699)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (32699)Memory used [KB]: 983
% 0.56/0.74 % (32699)Time elapsed: 0.003 s
% 0.56/0.74 % (32699)Instructions burned: 2 (million)
% 0.56/0.74 % (32699)------------------------------
% 0.56/0.74 % (32699)------------------------------
% 0.56/0.74 % (32702)Refutation not found, incomplete strategy% (32702)------------------------------
% 0.56/0.74 % (32702)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (32702)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (32702)Memory used [KB]: 968
% 0.56/0.74 % (32702)Time elapsed: 0.003 s
% 0.56/0.74 % (32702)Instructions burned: 2 (million)
% 0.56/0.74 % (32702)------------------------------
% 0.56/0.74 % (32702)------------------------------
% 0.56/0.74 % (32704)Refutation not found, incomplete strategy% (32704)------------------------------
% 0.56/0.74 % (32704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (32704)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (32704)Memory used [KB]: 976
% 0.56/0.74 % (32704)Time elapsed: 0.003 s
% 0.56/0.74 % (32704)Instructions burned: 2 (million)
% 0.56/0.74 % (32704)------------------------------
% 0.56/0.74 % (32704)------------------------------
% 0.56/0.74 % (32700)First to succeed.
% 0.56/0.74 % (32711)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.74 % (32701)Also succeeded, but the first one will report.
% 0.56/0.74 % (32711)Refutation not found, incomplete strategy% (32711)------------------------------
% 0.56/0.74 % (32711)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (32711)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (32711)Memory used [KB]: 986
% 0.56/0.74 % (32711)Time elapsed: 0.002 s
% 0.56/0.74 % (32711)Instructions burned: 3 (million)
% 0.56/0.74 % (32711)------------------------------
% 0.56/0.74 % (32711)------------------------------
% 0.56/0.74 % (32705)Also succeeded, but the first one will report.
% 0.56/0.75 % (32700)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (32700)------------------------------
% 0.56/0.75 % (32700)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (32700)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (32700)Memory used [KB]: 995
% 0.56/0.75 % (32700)Time elapsed: 0.005 s
% 0.56/0.75 % (32700)Instructions burned: 4 (million)
% 0.56/0.75 % (32700)------------------------------
% 0.56/0.75 % (32700)------------------------------
% 0.56/0.75 % (32594)Success in time 0.378 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------