TSTP Solution File: SEU355+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU355+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 : Sun May 5 09:22:40 EDT 2024
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 36 ~; 35 |; 5 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f120,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f101,f119]) ).
fof(f119,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f118,plain,
( $false
| spl8_2 ),
inference(subsumption_resolution,[],[f114,f48]) ).
fof(f48,plain,
empty(empty_set),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
empty(empty_set),
file('/export/starexec/sandbox/tmp/tmp.pVWYmMxcsv/Vampire---4.8_472',fc1_xboole_0) ).
fof(f114,plain,
( ~ empty(empty_set)
| spl8_2 ),
inference(resolution,[],[f106,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.pVWYmMxcsv/Vampire---4.8_472',t7_boole) ).
fof(f106,plain,
( in(sK2(sK0,empty_set,sK1),empty_set)
| spl8_2 ),
inference(unit_resulting_resolution,[],[f38,f37,f65,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( in(sK2(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| relstr_set_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.pVWYmMxcsv/Vampire---4.8_472',d9_lattice3) ).
fof(f65,plain,
( ~ relstr_set_smaller(sK0,empty_set,sK1)
| spl8_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl8_2
<=> relstr_set_smaller(sK0,empty_set,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f37,plain,
element(sK1,the_carrier(sK0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
? [X0] :
( ? [X1] :
( ( ~ relstr_element_smaller(X0,empty_set,X1)
| ~ relstr_set_smaller(X0,empty_set,X1) )
& element(X1,the_carrier(X0)) )
& rel_str(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_element_smaller(X0,empty_set,X1)
& relstr_set_smaller(X0,empty_set,X1) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_element_smaller(X0,empty_set,X1)
& relstr_set_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.pVWYmMxcsv/Vampire---4.8_472',t6_yellow_0) ).
fof(f38,plain,
rel_str(sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f101,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| spl8_1 ),
inference(subsumption_resolution,[],[f96,f48]) ).
fof(f96,plain,
( ~ empty(empty_set)
| spl8_1 ),
inference(resolution,[],[f78,f53]) ).
fof(f78,plain,
( in(sK3(sK0,empty_set,sK1),empty_set)
| spl8_1 ),
inference(unit_resulting_resolution,[],[f38,f37,f61,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( in(sK3(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| relstr_element_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.pVWYmMxcsv/Vampire---4.8_472',d8_lattice3) ).
fof(f61,plain,
( ~ relstr_element_smaller(sK0,empty_set,sK1)
| spl8_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl8_1
<=> relstr_element_smaller(sK0,empty_set,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f66,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f36,f63,f59]) ).
fof(f36,plain,
( ~ relstr_set_smaller(sK0,empty_set,sK1)
| ~ relstr_element_smaller(sK0,empty_set,sK1) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:11:46 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.pVWYmMxcsv/Vampire---4.8_472
% 0.55/0.73 % (606)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)
% 0.55/0.73 % (600)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)
% 0.55/0.73 % (602)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (601)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)
% 0.55/0.73 % (605)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)
% 0.55/0.73 % (604)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)
% 0.55/0.73 % (603)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)
% 0.55/0.73 % (606)First to succeed.
% 0.55/0.73 % (606)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-599"
% 0.55/0.73 % (605)Refutation not found, incomplete strategy% (605)------------------------------
% 0.55/0.73 % (605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (604)Refutation not found, incomplete strategy% (604)------------------------------
% 0.55/0.73 % (604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (604)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (604)Memory used [KB]: 1030
% 0.55/0.73 % (604)Time elapsed: 0.003 s
% 0.55/0.73 % (604)Instructions burned: 3 (million)
% 0.55/0.73 % (605)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (605)Memory used [KB]: 1040
% 0.55/0.73 % (605)Time elapsed: 0.003 s
% 0.55/0.73 % (605)Instructions burned: 3 (million)
% 0.55/0.73 % (606)Refutation found. Thanks to Tanya!
% 0.55/0.73 % SZS status Theorem for Vampire---4
% 0.55/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.73 % (606)------------------------------
% 0.55/0.73 % (606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (606)Termination reason: Refutation
% 0.55/0.73
% 0.55/0.73 % (606)Memory used [KB]: 1068
% 0.55/0.73 % (606)Time elapsed: 0.003 s
% 0.55/0.73 % (606)Instructions burned: 5 (million)
% 0.55/0.73 % (599)Success in time 0.373 s
% 0.55/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------