TSTP Solution File: SEU262+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU262+1 : TPTP v8.2.0. 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 : n028.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 03:46:13 EDT 2024
% Result : Theorem 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 7 unt; 0 def)
% Number of atoms : 126 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 42 ~; 45 |; 4 &)
% ( 14 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 92 ( 85 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f777,plain,
$false,
inference(avatar_sat_refutation,[],[f106,f387,f776]) ).
fof(f776,plain,
spl15_2,
inference(avatar_contradiction_clause,[],[f775]) ).
fof(f775,plain,
( $false
| spl15_2 ),
inference(subsumption_resolution,[],[f771,f492]) ).
fof(f492,plain,
( sP4(sK6(relation_dom(sK2),sK0),sK2)
| spl15_2 ),
inference(unit_resulting_resolution,[],[f119,f390,f92]) ).
fof(f92,plain,
! [X2,X0] :
( ~ in(X2,relation_dom(X0))
| sP4(X2,X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| sP4(X2,X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f390,plain,
( in(sK6(relation_dom(sK2),sK0),relation_dom(sK2))
| spl15_2 ),
inference(unit_resulting_resolution,[],[f105,f67]) ).
fof(f67,plain,
! [X0,X1] :
( in(sK6(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f105,plain,
( ~ subset(relation_dom(sK2),sK0)
| spl15_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl15_2
<=> subset(relation_dom(sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f119,plain,
relation(sK2),
inference(unit_resulting_resolution,[],[f107,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f107,plain,
element(sK2,powerset(cartesian_product2(sK0,sK1))),
inference(unit_resulting_resolution,[],[f56,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f56,plain,
relation_of2_as_subset(sK2,sK0,sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ( ~ subset(relation_rng(X2),X1)
| ~ subset(relation_dom(X2),X0) )
& relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f771,plain,
( ~ sP4(sK6(relation_dom(sK2),sK0),sK2)
| spl15_2 ),
inference(resolution,[],[f665,f57]) ).
fof(f57,plain,
! [X2,X0] :
( in(ordered_pair(X2,sK5(X0,X2)),X0)
| ~ sP4(X2,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f665,plain,
( ! [X0] : ~ in(ordered_pair(sK6(relation_dom(sK2),sK0),X0),sK2)
| spl15_2 ),
inference(unit_resulting_resolution,[],[f120,f482,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f482,plain,
( ! [X0,X1] : ~ in(ordered_pair(sK6(relation_dom(sK2),sK0),X0),cartesian_product2(sK0,X1))
| spl15_2 ),
inference(unit_resulting_resolution,[],[f391,f87]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f391,plain,
( ~ in(sK6(relation_dom(sK2),sK0),sK0)
| spl15_2 ),
inference(unit_resulting_resolution,[],[f105,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ in(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f120,plain,
subset(sK2,cartesian_product2(sK0,sK1)),
inference(unit_resulting_resolution,[],[f107,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f387,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| spl15_1 ),
inference(subsumption_resolution,[],[f382,f171]) ).
fof(f171,plain,
( sP9(sK6(relation_rng(sK2),sK1),sK2)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f119,f108,f94]) ).
fof(f94,plain,
! [X2,X0] :
( ~ in(X2,relation_rng(X0))
| sP9(X2,X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| sP9(X2,X0)
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f108,plain,
( in(sK6(relation_rng(sK2),sK1),relation_rng(sK2))
| spl15_1 ),
inference(unit_resulting_resolution,[],[f101,f67]) ).
fof(f101,plain,
( ~ subset(relation_rng(sK2),sK1)
| spl15_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl15_1
<=> subset(relation_rng(sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f382,plain,
( ~ sP9(sK6(relation_rng(sK2),sK1),sK2)
| spl15_1 ),
inference(resolution,[],[f315,f71]) ).
fof(f71,plain,
! [X2,X0] :
( in(ordered_pair(sK10(X0,X2),X2),X0)
| ~ sP9(X2,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f315,plain,
( ! [X0] : ~ in(ordered_pair(X0,sK6(relation_rng(sK2),sK1)),sK2)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f120,f150,f66]) ).
fof(f150,plain,
( ! [X0,X1] : ~ in(ordered_pair(X0,sK6(relation_rng(sK2),sK1)),cartesian_product2(X1,sK1))
| spl15_1 ),
inference(unit_resulting_resolution,[],[f109,f88]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f109,plain,
( ~ in(sK6(relation_rng(sK2),sK1),sK1)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f101,f68]) ).
fof(f106,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f55,f103,f99]) ).
fof(f55,plain,
( ~ subset(relation_dom(sK2),sK0)
| ~ subset(relation_rng(sK2),sK1) ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU262+1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 18:18:52 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.72 % (18727)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)
% 0.56/0.72 % (18728)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.72 % (18721)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)
% 0.56/0.72 % (18723)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.72 % (18722)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)
% 0.56/0.72 % (18724)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)
% 0.56/0.72 % (18724)Refutation not found, incomplete strategy% (18724)------------------------------
% 0.56/0.72 % (18724)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72 % (18724)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.72
% 0.56/0.72 % (18724)Memory used [KB]: 963
% 0.56/0.72 % (18724)Time elapsed: 0.003 s
% 0.56/0.72 % (18724)Instructions burned: 2 (million)
% 0.56/0.72 % (18724)------------------------------
% 0.56/0.72 % (18724)------------------------------
% 0.56/0.73 % (18729)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 theBenchmark for (2996ds/55Mi)
% 0.56/0.73 % (18725)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)
% 0.56/0.73 % (18727)First to succeed.
% 0.56/0.73 % (18727)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18720"
% 0.56/0.73 % (18727)Refutation found. Thanks to Tanya!
% 0.56/0.73 % SZS status Theorem for theBenchmark
% 0.56/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.73 % (18727)------------------------------
% 0.56/0.73 % (18727)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (18727)Termination reason: Refutation
% 0.56/0.73
% 0.56/0.73 % (18727)Memory used [KB]: 1338
% 0.56/0.73 % (18727)Time elapsed: 0.012 s
% 0.56/0.73 % (18727)Instructions burned: 30 (million)
% 0.56/0.73 % (18720)Success in time 0.384 s
% 0.56/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------