TSTP Solution File: SEU254+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU254+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 : n024.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 03:51:11 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 17 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 34 ~; 30 |; 8 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 61 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f388,plain,
$false,
inference(subsumption_resolution,[],[f378,f175]) ).
fof(f175,plain,
~ in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK4(relation_restriction(sK1,sK0))),cartesian_product2(sK0,sK0)),
inference(unit_resulting_resolution,[],[f48,f81,f145,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2)
| ~ relation(X2)
| in(X0,relation_restriction(X2,X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.fhz07Adlzz/Vampire---4.8_29031',t16_wellord1) ).
fof(f145,plain,
in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK4(relation_restriction(sK1,sK0))),sK1),
inference(unit_resulting_resolution,[],[f49,f48,f99,f125,f56]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0)
| in(ordered_pair(X1,X3),X0)
| ~ transitive(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( transitive(X0)
<=> ! [X1,X2,X3] :
( in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( transitive(X0)
<=> ! [X1,X2,X3] :
( in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X1,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( relation(X0)
=> ( transitive(X0)
<=> ! [X1,X2,X3] :
( ( in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X1,X2),X0) )
=> in(ordered_pair(X1,X3),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.fhz07Adlzz/Vampire---4.8_29031',l2_wellord1) ).
fof(f125,plain,
in(ordered_pair(sK3(relation_restriction(sK1,sK0)),sK4(relation_restriction(sK1,sK0))),sK1),
inference(unit_resulting_resolution,[],[f48,f80,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f80,plain,
in(ordered_pair(sK3(relation_restriction(sK1,sK0)),sK4(relation_restriction(sK1,sK0))),relation_restriction(sK1,sK0)),
inference(unit_resulting_resolution,[],[f50,f74,f58]) ).
fof(f58,plain,
! [X0] :
( in(ordered_pair(sK3(X0),sK4(X0)),X0)
| ~ relation(X0)
| transitive(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f74,plain,
! [X0] : relation(relation_restriction(sK1,X0)),
inference(unit_resulting_resolution,[],[f48,f54]) ).
fof(f54,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.fhz07Adlzz/Vampire---4.8_29031',dt_k2_wellord1) ).
fof(f50,plain,
~ transitive(relation_restriction(sK1,sK0)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
? [X0,X1] :
( ~ transitive(relation_restriction(X1,X0))
& transitive(X1)
& relation(X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X0,X1] :
( ~ transitive(relation_restriction(X1,X0))
& transitive(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( transitive(X1)
=> transitive(relation_restriction(X1,X0)) ) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X1] :
( relation(X1)
=> ( transitive(X1)
=> transitive(relation_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.fhz07Adlzz/Vampire---4.8_29031',t24_wellord1) ).
fof(f99,plain,
in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK3(relation_restriction(sK1,sK0))),sK1),
inference(unit_resulting_resolution,[],[f48,f79,f51]) ).
fof(f79,plain,
in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK3(relation_restriction(sK1,sK0))),relation_restriction(sK1,sK0)),
inference(unit_resulting_resolution,[],[f50,f74,f57]) ).
fof(f57,plain,
! [X0] :
( in(ordered_pair(sK2(X0),sK3(X0)),X0)
| ~ relation(X0)
| transitive(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f49,plain,
transitive(sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f81,plain,
~ in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK4(relation_restriction(sK1,sK0))),relation_restriction(sK1,sK0)),
inference(unit_resulting_resolution,[],[f50,f74,f59]) ).
fof(f59,plain,
! [X0] :
( ~ in(ordered_pair(sK2(X0),sK4(X0)),X0)
| ~ relation(X0)
| transitive(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f48,plain,
relation(sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f378,plain,
in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK4(relation_restriction(sK1,sK0))),cartesian_product2(sK0,sK0)),
inference(unit_resulting_resolution,[],[f189,f325,f64]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.fhz07Adlzz/Vampire---4.8_29031',t106_zfmisc_1) ).
fof(f325,plain,
in(sK4(relation_restriction(sK1,sK0)),sK0),
inference(unit_resulting_resolution,[],[f126,f63]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf_transformation,[],[f26]) ).
fof(f126,plain,
in(ordered_pair(sK3(relation_restriction(sK1,sK0)),sK4(relation_restriction(sK1,sK0))),cartesian_product2(sK0,sK0)),
inference(unit_resulting_resolution,[],[f48,f80,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,cartesian_product2(X1,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f189,plain,
in(sK2(relation_restriction(sK1,sK0)),sK0),
inference(unit_resulting_resolution,[],[f100,f62]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f100,plain,
in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK3(relation_restriction(sK1,sK0))),cartesian_product2(sK0,sK0)),
inference(unit_resulting_resolution,[],[f48,f79,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU254+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % 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
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 16:13:21 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 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.fhz07Adlzz/Vampire---4.8_29031
% 0.55/0.74 % (29395)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)
% 0.55/0.74 % (29388)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)
% 0.55/0.74 % (29390)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (29389)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)
% 0.55/0.74 % (29392)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)
% 0.55/0.74 % (29391)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)
% 0.55/0.74 % (29393)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)
% 0.55/0.74 % (29394)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)
% 0.55/0.74 % (29393)Refutation not found, incomplete strategy% (29393)------------------------------
% 0.55/0.74 % (29393)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (29393)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (29393)Memory used [KB]: 956
% 0.55/0.74 % (29393)Time elapsed: 0.002 s
% 0.55/0.74 % (29393)Instructions burned: 2 (million)
% 0.55/0.74 % (29393)------------------------------
% 0.55/0.74 % (29393)------------------------------
% 0.55/0.74 % (29392)Refutation not found, incomplete strategy% (29392)------------------------------
% 0.55/0.74 % (29392)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (29392)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (29392)Memory used [KB]: 1032
% 0.55/0.74 % (29392)Time elapsed: 0.003 s
% 0.55/0.74 % (29392)Instructions burned: 3 (million)
% 0.55/0.74 % (29392)------------------------------
% 0.55/0.74 % (29392)------------------------------
% 0.55/0.75 % (29399)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)
% 0.55/0.75 % (29400)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.75 % (29394)First to succeed.
% 0.55/0.75 % (29395)Instruction limit reached!
% 0.55/0.75 % (29395)------------------------------
% 0.55/0.75 % (29395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (29395)Termination reason: Unknown
% 0.55/0.75 % (29395)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (29395)Memory used [KB]: 1305
% 0.55/0.75 % (29395)Time elapsed: 0.015 s
% 0.55/0.75 % (29395)Instructions burned: 58 (million)
% 0.55/0.75 % (29395)------------------------------
% 0.55/0.75 % (29395)------------------------------
% 0.55/0.75 % (29394)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (29394)------------------------------
% 0.55/0.75 % (29394)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (29394)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (29394)Memory used [KB]: 1164
% 0.55/0.75 % (29394)Time elapsed: 0.013 s
% 0.55/0.75 % (29394)Instructions burned: 20 (million)
% 0.55/0.75 % (29394)------------------------------
% 0.55/0.75 % (29394)------------------------------
% 0.55/0.75 % (29262)Success in time 0.392 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------