TSTP Solution File: SET641+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET641+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n007.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 03:48:27 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 9 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 193 ( 71 ~; 66 |; 14 &)
% ( 13 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 65 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(avatar_sat_refutation,[],[f114,f127,f148]) ).
fof(f148,plain,
~ spl14_2,
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f147,plain,
( $false
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f143,f52]) ).
fof(f52,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/tmp/tmp.bDvtC9ig6A/Vampire---4.8_24543',p18) ).
fof(f143,plain,
( ~ ilf_type(cross_product(sK1,sK2),set_type)
| ~ spl14_2 ),
inference(resolution,[],[f113,f76]) ).
fof(f76,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.bDvtC9ig6A/Vampire---4.8_24543',p11) ).
fof(f113,plain,
( empty(power_set(cross_product(sK1,sK2)))
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl14_2
<=> empty(power_set(cross_product(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f127,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f126,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f118,f117]) ).
fof(f117,plain,
( ~ member(sK10(sK0,cross_product(sK1,sK2)),cross_product(sK1,sK2))
| spl14_1 ),
inference(unit_resulting_resolution,[],[f52,f52,f109,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ member(sK10(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bDvtC9ig6A/Vampire---4.8_24543',p10) ).
fof(f109,plain,
( ~ member(sK0,power_set(cross_product(sK1,sK2)))
| spl14_1 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl14_1
<=> member(sK0,power_set(cross_product(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f118,plain,
( member(sK10(sK0,cross_product(sK1,sK2)),cross_product(sK1,sK2))
| spl14_1 ),
inference(unit_resulting_resolution,[],[f48,f52,f52,f52,f116,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bDvtC9ig6A/Vampire---4.8_24543',p5) ).
fof(f116,plain,
( member(sK10(sK0,cross_product(sK1,sK2)),sK0)
| spl14_1 ),
inference(unit_resulting_resolution,[],[f52,f52,f109,f80]) ).
fof(f80,plain,
! [X0,X1] :
( member(sK10(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f48,plain,
subset(sK0,cross_product(sK1,sK2)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
& subset(X0,cross_product(X1,X2))
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
& subset(X0,cross_product(X1,X2))
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bDvtC9ig6A/Vampire---4.8_24543',prove_relset_1_3) ).
fof(f114,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f105,f111,f107]) ).
fof(f105,plain,
( empty(power_set(cross_product(sK1,sK2)))
| ~ member(sK0,power_set(cross_product(sK1,sK2))) ),
inference(subsumption_resolution,[],[f104,f52]) ).
fof(f104,plain,
( empty(power_set(cross_product(sK1,sK2)))
| ~ member(sK0,power_set(cross_product(sK1,sK2)))
| ~ ilf_type(sK0,set_type) ),
inference(subsumption_resolution,[],[f103,f52]) ).
fof(f103,plain,
( empty(power_set(cross_product(sK1,sK2)))
| ~ ilf_type(power_set(cross_product(sK1,sK2)),set_type)
| ~ member(sK0,power_set(cross_product(sK1,sK2)))
| ~ ilf_type(sK0,set_type) ),
inference(resolution,[],[f99,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bDvtC9ig6A/Vampire---4.8_24543',p12) ).
fof(f99,plain,
~ ilf_type(sK0,member_type(power_set(cross_product(sK1,sK2)))),
inference(unit_resulting_resolution,[],[f52,f52,f97,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bDvtC9ig6A/Vampire---4.8_24543',p7) ).
fof(f97,plain,
~ ilf_type(sK0,subset_type(cross_product(sK1,sK2))),
inference(unit_resulting_resolution,[],[f52,f52,f49,f61]) ).
fof(f61,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X3,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bDvtC9ig6A/Vampire---4.8_24543',p1) ).
fof(f49,plain,
~ ilf_type(sK0,relation_type(sK1,sK2)),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET641+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.15 % 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
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:06:03 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.bDvtC9ig6A/Vampire---4.8_24543
% 0.58/0.75 % (24797)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)
% 0.58/0.75 % (24802)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)
% 0.58/0.75 % (24796)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)
% 0.58/0.75 % (24799)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)
% 0.58/0.75 % (24801)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)
% 0.58/0.75 % (24803)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)
% 0.58/0.75 % (24802)First to succeed.
% 0.58/0.75 % (24801)Refutation not found, incomplete strategy% (24801)------------------------------
% 0.58/0.75 % (24801)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (24801)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (24801)Memory used [KB]: 1023
% 0.58/0.75 % (24801)Time elapsed: 0.003 s
% 0.58/0.75 % (24799)Refutation not found, incomplete strategy% (24799)------------------------------
% 0.58/0.75 % (24799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (24801)Instructions burned: 2 (million)
% 0.58/0.75 % (24801)------------------------------
% 0.58/0.75 % (24801)------------------------------
% 0.58/0.75 % (24799)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (24799)Memory used [KB]: 1025
% 0.58/0.75 % (24799)Time elapsed: 0.003 s
% 0.58/0.75 % (24799)Instructions burned: 3 (million)
% 0.58/0.75 % (24799)------------------------------
% 0.58/0.75 % (24799)------------------------------
% 0.58/0.75 % (24803)Refutation not found, incomplete strategy% (24803)------------------------------
% 0.58/0.75 % (24803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (24803)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75 % (24800)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)
% 0.58/0.75
% 0.58/0.75 % (24803)Memory used [KB]: 1022
% 0.58/0.75 % (24803)Time elapsed: 0.003 s
% 0.58/0.75 % (24803)Instructions burned: 2 (million)
% 0.58/0.75 % (24803)------------------------------
% 0.58/0.75 % (24803)------------------------------
% 0.58/0.75 % (24802)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (24802)------------------------------
% 0.58/0.75 % (24802)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (24802)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (24802)Memory used [KB]: 1060
% 0.58/0.75 % (24802)Time elapsed: 0.004 s
% 0.58/0.75 % (24802)Instructions burned: 8 (million)
% 0.58/0.75 % (24802)------------------------------
% 0.58/0.75 % (24802)------------------------------
% 0.58/0.75 % (24792)Success in time 0.375 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------