TSTP Solution File: SET734+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET734+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 : n023.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 03:48:46 EDT 2024
% Result : Theorem 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 6 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 192 ( 65 ~; 52 |; 51 &)
% ( 8 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-5 aty)
% Number of variables : 160 ( 136 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,plain,
$false,
inference(subsumption_resolution,[],[f89,f78]) ).
fof(f78,plain,
member(sK6(sK1,sK2,sK3),sK3),
inference(resolution,[],[f60,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( surjective(X0,X1,X2)
| member(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
| ( ! [X4] :
( ~ apply(X0,X4,sK6(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK6(X0,X1,X2),X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f46,f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) )
=> ( ! [X4] :
( ~ apply(X0,X4,sK6(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK6(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) )
=> surjective(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f35,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.jbVUDc0wyq/Vampire---4.8_8016',surjective) ).
fof(f60,plain,
~ surjective(sK1,sK2,sK3),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ~ surjective(sK1,sK2,sK3)
& identity(compose_function(sK1,sK0,sK3,sK2,sK3),sK3)
& maps(sK0,sK3,sK2)
& maps(sK1,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f40,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2,X3] :
( ~ surjective(X1,X2,X3)
& identity(compose_function(X1,X0,X3,X2,X3),X3)
& maps(X0,X3,X2)
& maps(X1,X2,X3) )
=> ( ~ surjective(sK1,sK2,sK3)
& identity(compose_function(sK1,sK0,sK3,sK2,sK3),sK3)
& maps(sK0,sK3,sK2)
& maps(sK1,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0,X1,X2,X3] :
( ~ surjective(X1,X2,X3)
& identity(compose_function(X1,X0,X3,X2,X3),X3)
& maps(X0,X3,X2)
& maps(X1,X2,X3) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
? [X0,X1,X2,X3] :
( ~ surjective(X1,X2,X3)
& identity(compose_function(X1,X0,X3,X2,X3),X3)
& maps(X0,X3,X2)
& maps(X1,X2,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2,X3] :
( ( identity(compose_function(X1,X0,X3,X2,X3),X3)
& maps(X0,X3,X2)
& maps(X1,X2,X3) )
=> surjective(X1,X2,X3) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1] :
( ( identity(compose_function(X9,X5,X1,X0,X1),X1)
& maps(X5,X1,X0)
& maps(X9,X0,X1) )
=> surjective(X9,X0,X1) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X9,X0,X1] :
( ( identity(compose_function(X9,X5,X1,X0,X1),X1)
& maps(X5,X1,X0)
& maps(X9,X0,X1) )
=> surjective(X9,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.jbVUDc0wyq/Vampire---4.8_8016',thII25) ).
fof(f89,plain,
~ member(sK6(sK1,sK2,sK3),sK3),
inference(resolution,[],[f88,f86]) ).
fof(f86,plain,
! [X0] :
( member(sK5(sK1,sK0,sK2,X0,X0),sK2)
| ~ member(X0,sK3) ),
inference(duplicate_literal_removal,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ member(X0,sK3)
| member(sK5(sK1,sK0,sK2,X0,X0),sK2)
| ~ member(X0,sK3)
| ~ member(X0,sK3) ),
inference(resolution,[],[f80,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK5(X0,X1,X3,X5,X6),X3)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,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) ) )
& ( ( apply(X0,sK5(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK5(X0,X1,X3,X5,X6))
& member(sK5(X0,X1,X3,X5,X6),X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1,X3,X5,X6] :
( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
=> ( apply(X0,sK5(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK5(X0,X1,X3,X5,X6))
& member(sK5(X0,X1,X3,X5,X6),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f52,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) ) )
& ( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(rectify,[],[f51]) ).
fof(f51,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) ) )
& ( ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,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,[],[f44]) ).
fof(f44,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.jbVUDc0wyq/Vampire---4.8_8016',compose_function) ).
fof(f80,plain,
! [X0] :
( apply(compose_function(sK1,sK0,sK3,sK2,sK3),X0,X0)
| ~ member(X0,sK3) ),
inference(resolution,[],[f59,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ identity(X0,X1)
| ~ member(X2,X1)
| apply(X0,X2,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
| ~ identity(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( identity(X0,X1)
=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
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.jbVUDc0wyq/Vampire---4.8_8016',identity) ).
fof(f59,plain,
identity(compose_function(sK1,sK0,sK3,sK2,sK3),sK3),
inference(cnf_transformation,[],[f48]) ).
fof(f88,plain,
~ member(sK5(sK1,sK0,sK2,sK6(sK1,sK2,sK3),sK6(sK1,sK2,sK3)),sK2),
inference(subsumption_resolution,[],[f87,f78]) ).
fof(f87,plain,
( ~ member(sK6(sK1,sK2,sK3),sK3)
| ~ member(sK5(sK1,sK0,sK2,sK6(sK1,sK2,sK3),sK6(sK1,sK2,sK3)),sK2) ),
inference(resolution,[],[f84,f79]) ).
fof(f79,plain,
! [X0] :
( ~ apply(sK1,X0,sK6(sK1,sK2,sK3))
| ~ member(X0,sK2) ),
inference(resolution,[],[f60,f70]) ).
fof(f70,plain,
! [X2,X0,X1,X4] :
( surjective(X0,X1,X2)
| ~ apply(X0,X4,sK6(X0,X1,X2))
| ~ member(X4,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f84,plain,
! [X0] :
( apply(sK1,sK5(sK1,sK0,sK2,X0,X0),X0)
| ~ member(X0,sK3) ),
inference(duplicate_literal_removal,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ member(X0,sK3)
| apply(sK1,sK5(sK1,sK0,sK2,X0,X0),X0)
| ~ member(X0,sK3)
| ~ member(X0,sK3) ),
inference(resolution,[],[f80,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK5(X0,X1,X3,X5,X6),X6)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET734+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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
% 0.15/0.35 % Computer : n023.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 17:27:40 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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.jbVUDc0wyq/Vampire---4.8_8016
% 0.55/0.73 % (8214)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)
% 0.55/0.73 % (8215)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)
% 0.55/0.73 % (8215)First to succeed.
% 0.55/0.73 % (8210)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (8208)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)
% 0.55/0.73 % (8209)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)
% 0.55/0.73 % (8211)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)
% 0.55/0.73 % (8212)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)
% 0.55/0.73 % (8213)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)
% 0.55/0.74 % (8215)Refutation found. Thanks to Tanya!
% 0.55/0.74 % SZS status Theorem for Vampire---4
% 0.55/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74 % (8215)------------------------------
% 0.55/0.74 % (8215)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (8215)Termination reason: Refutation
% 0.55/0.74
% 0.55/0.74 % (8215)Memory used [KB]: 1073
% 0.55/0.74 % (8215)Time elapsed: 0.002 s
% 0.55/0.74 % (8215)Instructions burned: 5 (million)
% 0.55/0.74 % (8215)------------------------------
% 0.55/0.74 % (8215)------------------------------
% 0.55/0.74 % (8176)Success in time 0.374 s
% 0.55/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------