TSTP Solution File: SET715+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET715+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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 : n003.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 09:08:07 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 138 ( 44 ~; 35 |; 28 &)
% ( 15 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-5 aty)
% Number of variables : 158 ( 143 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f157,plain,
$false,
inference(subsumption_resolution,[],[f156,f146]) ).
fof(f146,plain,
apply(inverse_function(sK0,sK1,sK2),sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2),sK6(sK0,sK1,sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2))),
inference(unit_resulting_resolution,[],[f94,f101,f102,f70]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] :
( apply(inverse_function(X0,X1,X2),X4,X3)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(X0,X3,X4) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4] :
( ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) )
| ~ member(X4,X2)
| ~ member(X3,X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4] :
( ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) )
| ~ member(X4,X2)
| ~ member(X3,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] :
( ( member(X4,X2)
& member(X3,X1) )
=> ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X5,X0,X1,X2,X4] :
( ( member(X4,X1)
& member(X2,X0) )
=> ( apply(X5,X2,X4)
<=> apply(inverse_function(X5,X0,X1),X4,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GboPuOK9lK/Vampire---4.8_14608',inverse_function) ).
fof(f102,plain,
apply(sK0,sK6(sK0,sK1,sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2)),sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2)),
inference(unit_resulting_resolution,[],[f86,f94,f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| apply(X0,sK6(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ! [X3] :
( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
| ~ member(X3,X2) )
| ~ surjective(X0,X1,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X5,X0,X1] :
( surjective(X5,X0,X1)
<=> ! [X4] :
( member(X4,X1)
=> ? [X3] :
( apply(X5,X3,X4)
& member(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GboPuOK9lK/Vampire---4.8_14608',surjective) ).
fof(f86,plain,
surjective(sK0,sK1,sK2),
inference(unit_resulting_resolution,[],[f58,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ one_to_one(X0,X1,X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
& injective(X0,X1,X2) )
| ~ one_to_one(X0,X1,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
=> ( surjective(X0,X1,X2)
& injective(X0,X1,X2) ) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
<=> ( surjective(X0,X1,X2)
& injective(X0,X1,X2) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X5,X0,X1] :
( one_to_one(X5,X0,X1)
<=> ( surjective(X5,X0,X1)
& injective(X5,X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GboPuOK9lK/Vampire---4.8_14608',one_to_one) ).
fof(f58,plain,
one_to_one(sK0,sK1,sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
? [X0,X1,X2] :
( ~ identity(compose_function(X0,inverse_function(X0,X1,X2),X2,X1,X2),X2)
& one_to_one(X0,X1,X2)
& maps(X0,X1,X2) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0,X1,X2] :
( ~ identity(compose_function(X0,inverse_function(X0,X1,X2),X2,X1,X2),X2)
& one_to_one(X0,X1,X2)
& maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2] :
( ( one_to_one(X0,X1,X2)
& maps(X0,X1,X2) )
=> identity(compose_function(X0,inverse_function(X0,X1,X2),X2,X1,X2),X2) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X0,X1] :
( ( one_to_one(X5,X0,X1)
& maps(X5,X0,X1) )
=> identity(compose_function(X5,inverse_function(X5,X0,X1),X1,X0,X1),X1) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X0,X1] :
( ( one_to_one(X5,X0,X1)
& maps(X5,X0,X1) )
=> identity(compose_function(X5,inverse_function(X5,X0,X1),X1,X0,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.GboPuOK9lK/Vampire---4.8_14608',thII06) ).
fof(f101,plain,
member(sK6(sK0,sK1,sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2)),sK1),
inference(unit_resulting_resolution,[],[f86,f94,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| member(sK6(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f94,plain,
member(sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2),sK2),
inference(unit_resulting_resolution,[],[f59,f63]) ).
fof(f63,plain,
! [X0,X1] :
( member(sK4(X0,X1),X1)
| identity(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( identity(X0,X1)
| ? [X2] :
( ~ apply(X0,X2,X2)
& member(X2,X1) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) )
=> identity(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( identity(X0,X1)
<=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X0] :
( identity(X5,X0)
<=> ! [X2] :
( member(X2,X0)
=> apply(X5,X2,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GboPuOK9lK/Vampire---4.8_14608',identity) ).
fof(f59,plain,
~ identity(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f156,plain,
~ apply(inverse_function(sK0,sK1,sK2),sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2),sK6(sK0,sK1,sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2))),
inference(unit_resulting_resolution,[],[f101,f102,f112,f78]) ).
fof(f78,plain,
! [X3,X0,X1,X6,X7,X5] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3)
| sP8(X5,X3,X0,X6,X1) ),
inference(cnf_transformation,[],[f78_D]) ).
fof(f78_D,plain,
! [X1,X6,X0,X3,X5] :
( ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) )
<=> ~ sP8(X5,X3,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f112,plain,
~ sP8(sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2),sK1,sK0,sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2),inverse_function(sK0,sK1,sK2)),
inference(unit_resulting_resolution,[],[f94,f94,f95,f79]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X6,X4)
| ~ member(X5,X2)
| ~ sP8(X5,X3,X0,X6,X1) ),
inference(general_splitting,[],[f68,f78_D]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ member(X5,X2)
| ~ member(X6,X4)
| ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6)
| apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X6,X4)
& member(X5,X2) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X9,X5,X0,X1,X10,X2,X11] :
( ( member(X11,X10)
& member(X2,X0) )
=> ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
<=> ? [X4] :
( apply(X9,X4,X11)
& apply(X5,X2,X4)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GboPuOK9lK/Vampire---4.8_14608',compose_function) ).
fof(f95,plain,
~ apply(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2),sK4(compose_function(sK0,inverse_function(sK0,sK1,sK2),sK2,sK1,sK2),sK2)),
inference(unit_resulting_resolution,[],[f59,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ apply(X0,sK4(X0,X1),sK4(X0,X1))
| identity(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET715+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.15 % 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
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 16:55:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.GboPuOK9lK/Vampire---4.8_14608
% 0.57/0.75 % (14822)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)
% 0.57/0.75 % (14825)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)
% 0.57/0.75 % (14818)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)
% 0.57/0.76 % (14820)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (14825)Refutation not found, incomplete strategy% (14825)------------------------------
% 0.57/0.76 % (14825)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (14825)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (14825)Memory used [KB]: 1064
% 0.57/0.76 % (14825)Time elapsed: 0.002 s
% 0.57/0.76 % (14825)Instructions burned: 3 (million)
% 0.57/0.76 % (14821)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)
% 0.57/0.76 % (14819)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)
% 0.57/0.76 % (14823)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)
% 0.57/0.76 % (14824)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)
% 0.57/0.76 % (14825)------------------------------
% 0.57/0.76 % (14825)------------------------------
% 0.57/0.76 % (14822)Refutation not found, incomplete strategy% (14822)------------------------------
% 0.57/0.76 % (14822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (14822)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (14822)Memory used [KB]: 1135
% 0.57/0.76 % (14822)Time elapsed: 0.003 s
% 0.57/0.76 % (14822)Instructions burned: 5 (million)
% 0.57/0.76 % (14822)------------------------------
% 0.57/0.76 % (14822)------------------------------
% 0.57/0.76 % (14823)Refutation not found, incomplete strategy% (14823)------------------------------
% 0.57/0.76 % (14823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (14823)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (14823)Memory used [KB]: 1045
% 0.57/0.76 % (14823)Time elapsed: 0.003 s
% 0.57/0.76 % (14823)Instructions burned: 3 (million)
% 0.57/0.76 % (14823)------------------------------
% 0.57/0.76 % (14823)------------------------------
% 0.57/0.76 % (14828)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)
% 0.57/0.76 % (14829)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)
% 0.57/0.76 % (14824)First to succeed.
% 0.57/0.76 % (14830)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.76 % (14824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14780"
% 0.57/0.76 % (14824)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (14824)------------------------------
% 0.57/0.76 % (14824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (14824)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (14824)Memory used [KB]: 1109
% 0.57/0.76 % (14824)Time elapsed: 0.008 s
% 0.57/0.76 % (14824)Instructions burned: 10 (million)
% 0.57/0.76 % (14780)Success in time 0.398 s
% 0.57/0.76 % Vampire---4.8 exiting
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