TSTP Solution File: SEU162+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU162+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n021.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 0.71s 0.90s
% Output : Refutation 0.71s
% 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(f53,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f36,f48,f52]) ).
fof(f52,plain,
( spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f51,f28,f32]) ).
fof(f32,plain,
( spl2_2
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f28,plain,
( spl2_1
<=> sK0 = set_difference(sK0,singleton(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f51,plain,
( in(sK1,sK0)
| spl2_1 ),
inference(resolution,[],[f50,f39]) ).
fof(f39,plain,
! [X0,X1] :
( disjoint(X1,singleton(X0))
| in(X0,X1) ),
inference(resolution,[],[f21,f22]) ).
fof(f22,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/sandbox2/tmp/tmp.2HcSOwN1Pu/Vampire---4.8_31754',symmetry_r1_xboole_0) ).
fof(f21,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,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.2HcSOwN1Pu/Vampire---4.8_31754',l28_zfmisc_1) ).
fof(f50,plain,
( ~ disjoint(sK0,singleton(sK1))
| spl2_1 ),
inference(trivial_inequality_removal,[],[f49]) ).
fof(f49,plain,
( sK0 != sK0
| ~ disjoint(sK0,singleton(sK1))
| spl2_1 ),
inference(superposition,[],[f30,f25]) ).
fof(f25,plain,
! [X0,X1] :
( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,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/sandbox2/tmp/tmp.2HcSOwN1Pu/Vampire---4.8_31754',t83_xboole_1) ).
fof(f30,plain,
( sK0 != set_difference(sK0,singleton(sK1))
| spl2_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f48,plain,
( ~ spl2_2
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f46,f28,f32]) ).
fof(f46,plain,
( ~ in(sK1,sK0)
| ~ spl2_1 ),
inference(resolution,[],[f45,f20]) ).
fof(f20,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,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.2HcSOwN1Pu/Vampire---4.8_31754',l25_zfmisc_1) ).
fof(f45,plain,
( disjoint(singleton(sK1),sK0)
| ~ spl2_1 ),
inference(resolution,[],[f44,f22]) ).
fof(f44,plain,
( disjoint(sK0,singleton(sK1))
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f42]) ).
fof(f42,plain,
( sK0 != sK0
| disjoint(sK0,singleton(sK1))
| ~ spl2_1 ),
inference(superposition,[],[f26,f29]) ).
fof(f29,plain,
( sK0 = set_difference(sK0,singleton(sK1))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f26,plain,
! [X0,X1] :
( set_difference(X0,X1) != X0
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f36,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f23,f32,f28]) ).
fof(f23,plain,
( ~ in(sK1,sK0)
| sK0 = set_difference(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( in(sK1,sK0)
| sK0 != set_difference(sK0,singleton(sK1)) )
& ( ~ in(sK1,sK0)
| sK0 = set_difference(sK0,singleton(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
fof(f16,plain,
( ? [X0,X1] :
( ( in(X1,X0)
| set_difference(X0,singleton(X1)) != X0 )
& ( ~ in(X1,X0)
| set_difference(X0,singleton(X1)) = X0 ) )
=> ( ( in(sK1,sK0)
| sK0 != set_difference(sK0,singleton(sK1)) )
& ( ~ in(sK1,sK0)
| sK0 = set_difference(sK0,singleton(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,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/sandbox2/tmp/tmp.2HcSOwN1Pu/Vampire---4.8_31754',t65_zfmisc_1) ).
fof(f35,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f24,f32,f28]) ).
fof(f24,plain,
( in(sK1,sK0)
| sK0 != set_difference(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU162+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % 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 : n021.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 16:14:11 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.2HcSOwN1Pu/Vampire---4.8_31754
% 0.71/0.89 % (32007)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.89 % (32005)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 (2994ds/34Mi)
% 0.71/0.89 % (32006)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 (2994ds/51Mi)
% 0.71/0.89 % (32008)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.71/0.89 % (32009)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 (2994ds/34Mi)
% 0.71/0.89 % (32010)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.71/0.89 % (32011)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 (2994ds/83Mi)
% 0.71/0.89 % (32012)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 (2994ds/56Mi)
% 0.71/0.90 % (32009)Refutation not found, incomplete strategy% (32009)------------------------------
% 0.71/0.90 % (32009)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.90 % (32009)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90
% 0.71/0.90 % (32009)Memory used [KB]: 967
% 0.71/0.90 % (32009)Time elapsed: 0.002 s
% 0.71/0.90 % (32009)Instructions burned: 2 (million)
% 0.71/0.90 % (32009)------------------------------
% 0.71/0.90 % (32009)------------------------------
% 0.71/0.90 % (32005)Refutation not found, incomplete strategy% (32005)------------------------------
% 0.71/0.90 % (32005)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.90 % (32005)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90
% 0.71/0.90 % (32005)Memory used [KB]: 983
% 0.71/0.90 % (32005)Time elapsed: 0.003 s
% 0.71/0.90 % (32005)Instructions burned: 2 (million)
% 0.71/0.90 % (32005)------------------------------
% 0.71/0.90 % (32005)------------------------------
% 0.71/0.90 % (32008)Refutation not found, incomplete strategy% (32008)------------------------------
% 0.71/0.90 % (32008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.90 % (32008)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90
% 0.71/0.90 % (32008)Memory used [KB]: 968
% 0.71/0.90 % (32008)Time elapsed: 0.003 s
% 0.71/0.90 % (32008)Instructions burned: 2 (million)
% 0.71/0.90 % (32008)------------------------------
% 0.71/0.90 % (32008)------------------------------
% 0.71/0.90 % (32012)Refutation not found, incomplete strategy% (32012)------------------------------
% 0.71/0.90 % (32012)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.90 % (32012)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90
% 0.71/0.90 % (32012)Memory used [KB]: 966
% 0.71/0.90 % (32012)Time elapsed: 0.002 s
% 0.71/0.90 % (32012)Instructions burned: 2 (million)
% 0.71/0.90 % (32012)------------------------------
% 0.71/0.90 % (32012)------------------------------
% 0.71/0.90 % (32010)Refutation not found, incomplete strategy% (32010)------------------------------
% 0.71/0.90 % (32010)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.90 % (32010)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90
% 0.71/0.90 % (32010)Memory used [KB]: 976
% 0.71/0.90 % (32010)Time elapsed: 0.003 s
% 0.71/0.90 % (32010)Instructions burned: 2 (million)
% 0.71/0.90 % (32010)------------------------------
% 0.71/0.90 % (32010)------------------------------
% 0.71/0.90 % (32006)First to succeed.
% 0.71/0.90 % (32007)Also succeeded, but the first one will report.
% 0.71/0.90 % (32006)Refutation found. Thanks to Tanya!
% 0.71/0.90 % SZS status Theorem for Vampire---4
% 0.71/0.90 % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.90 % (32006)------------------------------
% 0.71/0.90 % (32006)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.90 % (32006)Termination reason: Refutation
% 0.71/0.90
% 0.71/0.90 % (32006)Memory used [KB]: 994
% 0.71/0.90 % (32006)Time elapsed: 0.004 s
% 0.71/0.90 % (32006)Instructions burned: 4 (million)
% 0.71/0.90 % (32006)------------------------------
% 0.71/0.90 % (32006)------------------------------
% 0.71/0.90 % (31947)Success in time 0.521 s
% 0.71/0.90 % Vampire---4.8 exiting
%------------------------------------------------------------------------------