TSTP Solution File: SEU429+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n019.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 09:23:47 EDT 2024
% Result : Theorem 0.48s 0.70s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 8 ( 10 avg)
% Number of connectives : 69 ( 27 ~; 12 |; 20 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 136 ( 136 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-4 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 41 ( 24 !; 16 ?; 5 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_12,type,
sQ11_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f151,plain,
$false,
inference(subsumption_resolution,[],[f150,f95]) ).
tff(f95,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
( ~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m2_relset_1(sK3,sK0,sK1)
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
& ~ v1_xboole_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f57,f76,f75,f74]) ).
tff(f74,plain,
( ? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& ~ v1_xboole_0(X0) )
=> ( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_1_relset_2(sK0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,sK0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(sK0))) )
& ~ v1_xboole_0(sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f75,plain,
( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_1_relset_2(sK0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,sK0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(sK0))) )
=> ( ? [X3] :
( ~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,X3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m2_relset_1(X3,sK0,sK1) )
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))) ) ),
introduced(choice_axiom,[]) ).
tff(f76,plain,
( ? [X3] :
( ~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,X3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m2_relset_1(X3,sK0,sK1) )
=> ( ~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m2_relset_1(sK3,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f57,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RdsbM86lmm/Vampire---4.8_31260',t28_relset_2) ).
tff(f150,plain,
v1_xboole_0(sK0),
inference(subsumption_resolution,[],[f149,f96]) ).
tff(f96,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f77]) ).
tff(f149,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| v1_xboole_0(sK0) ),
inference(subsumption_resolution,[],[f146,f97]) ).
tff(f97,plain,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f77]) ).
tff(f146,plain,
( ~ m2_relset_1(sK3,sK0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| v1_xboole_0(sK0) ),
inference(resolution,[],[f113,f98]) ).
tff(f98,plain,
~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f77]) ).
tff(f113,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tff(f70,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ),
inference(flattening,[],[f69]) ).
tff(f69,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f43]) ).
tff(f43,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
& ~ v1_xboole_0(X0) )
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.RdsbM86lmm/Vampire---4.8_31260',s8_domain_1__e1_38__relset_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.14 % 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
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 11:44:29 EDT 2024
% 0.13/0.34 % 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.RdsbM86lmm/Vampire---4.8_31260
% 0.48/0.69 % (31369)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)
% 0.48/0.69 % (31370)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)
% 0.48/0.69 % (31373)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)
% 0.48/0.69 % (31372)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)
% 0.48/0.69 % (31371)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.48/0.69 % (31375)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)
% 0.48/0.69 % (31374)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)
% 0.48/0.69 % (31376)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)
% 0.48/0.69 % (31369)First to succeed.
% 0.48/0.69 % (31369)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31368"
% 0.48/0.69 % (31376)Also succeeded, but the first one will report.
% 0.48/0.69 % (31374)Also succeeded, but the first one will report.
% 0.48/0.69 % (31372)Also succeeded, but the first one will report.
% 0.48/0.69 % (31373)Also succeeded, but the first one will report.
% 0.48/0.70 % (31369)Refutation found. Thanks to Tanya!
% 0.48/0.70 % SZS status Theorem for Vampire---4
% 0.48/0.70 % SZS output start Proof for Vampire---4
% See solution above
% 0.48/0.70 % (31369)------------------------------
% 0.48/0.70 % (31369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.70 % (31369)Termination reason: Refutation
% 0.48/0.70
% 0.48/0.70 % (31369)Memory used [KB]: 1078
% 0.48/0.70 % (31369)Time elapsed: 0.003 s
% 0.48/0.70 % (31369)Instructions burned: 5 (million)
% 0.48/0.70 % (31368)Success in time 0.345 s
% 0.48/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------