TSTP Solution File: SEU062+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU062+1 : TPTP v8.2.0. 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 : n011.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 : Tue May 21 03:44:38 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 44 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 20 ~; 9 |; 6 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 25 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(subsumption_resolution,[],[f120,f117]) ).
fof(f117,plain,
empty_set != relation_inverse_image(sK1,singleton(sK4(sK0,relation_rng(sK1)))),
inference(unit_resulting_resolution,[],[f97,f56]) ).
fof(f56,plain,
! [X2] :
( ~ in(X2,sK0)
| empty_set != relation_inverse_image(sK1,singleton(X2)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
? [X0,X1] :
( ~ subset(X0,relation_rng(X1))
& ! [X2] :
( empty_set != relation_inverse_image(X1,singleton(X2))
| ~ in(X2,X0) )
& relation(X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X0,X1] :
( ~ subset(X0,relation_rng(X1))
& ! [X2] :
( empty_set != relation_inverse_image(X1,singleton(X2))
| ~ in(X2,X0) )
& relation(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( ! [X2] :
~ ( empty_set = relation_inverse_image(X1,singleton(X2))
& in(X2,X0) )
=> subset(X0,relation_rng(X1)) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X0,X1] :
( relation(X1)
=> ( ! [X2] :
~ ( empty_set = relation_inverse_image(X1,singleton(X2))
& in(X2,X0) )
=> subset(X0,relation_rng(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t143_funct_1) ).
fof(f97,plain,
in(sK4(sK0,relation_rng(sK1)),sK0),
inference(unit_resulting_resolution,[],[f58,f85]) ).
fof(f85,plain,
! [X0,X1] :
( in(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f58,plain,
~ subset(sK0,relation_rng(sK1)),
inference(cnf_transformation,[],[f38]) ).
fof(f120,plain,
empty_set = relation_inverse_image(sK1,singleton(sK4(sK0,relation_rng(sK1)))),
inference(unit_resulting_resolution,[],[f57,f98,f70]) ).
fof(f70,plain,
! [X0,X1] :
( in(X0,relation_rng(X1))
| empty_set = relation_inverse_image(X1,singleton(X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( in(X0,relation_rng(X1))
<=> empty_set != relation_inverse_image(X1,singleton(X0)) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( relation(X1)
=> ( in(X0,relation_rng(X1))
<=> empty_set != relation_inverse_image(X1,singleton(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t142_funct_1) ).
fof(f98,plain,
~ in(sK4(sK0,relation_rng(sK1)),relation_rng(sK1)),
inference(unit_resulting_resolution,[],[f58,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f57,plain,
relation(sK1),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU062+1 : TPTP v8.2.0. Released v3.2.0.
% 0.14/0.14 % 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
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.35 % CPULimit : 300
% 0.21/0.35 % WCLimit : 300
% 0.21/0.35 % DateTime : Sun May 19 17:29:08 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.21/0.36 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/benchmark/theBenchmark.p
% 0.56/0.74 % (22144)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.74 % (22138)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (22139)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.74 % (22141)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74 % (22140)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74 % (22142)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (22143)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74 % (22144)First to succeed.
% 0.56/0.74 % (22144)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22136"
% 0.56/0.74 % (22144)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for theBenchmark
% 0.56/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.74 % (22144)------------------------------
% 0.56/0.74 % (22144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22144)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (22144)Memory used [KB]: 1054
% 0.56/0.74 % (22144)Time elapsed: 0.003 s
% 0.56/0.74 % (22144)Instructions burned: 5 (million)
% 0.56/0.74 % (22136)Success in time 0.375 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------