TSTP Solution File: SET722+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET722+4 : TPTP v8.2.0. 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 : n005.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 03:12:58 EDT 2024
% Result : Theorem 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 6 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 223 ( 79 ~; 66 |; 60 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 176 ( 145 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(subsumption_resolution,[],[f93,f78]) ).
fof(f78,plain,
member(sK7(sK1,sK3,sK4),sK4),
inference(resolution,[],[f59,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( surjective(X0,X1,X2)
| member(sK7(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ( ! [X4] :
( ~ apply(X0,X4,sK7(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK7(X0,X1,X2),X2) ) )
& ( ! [X5] :
( ( apply(X0,sK8(X0,X1,X5),X5)
& member(sK8(X0,X1,X5),X1) )
| ~ member(X5,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f52,f54,f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) )
=> ( ! [X4] :
( ~ apply(X0,X4,sK7(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK7(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1,X5] :
( ? [X6] :
( apply(X0,X6,X5)
& member(X6,X1) )
=> ( apply(X0,sK8(X0,X1,X5),X5)
& member(sK8(X0,X1,X5),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X5] :
( ? [X6] :
( apply(X0,X6,X5)
& member(X6,X1) )
| ~ member(X5,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X3] :
( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
| ~ member(X3,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
| ~ member(X3,X2) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,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/benchmark/theBenchmark.p',surjective) ).
fof(f59,plain,
~ surjective(sK1,sK3,sK4),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ~ surjective(sK1,sK3,sK4)
& surjective(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)
& maps(sK1,sK3,sK4)
& maps(sK0,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f37,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X3,X4)
& surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> ( ~ surjective(sK1,sK3,sK4)
& surjective(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4)
& maps(sK1,sK3,sK4)
& maps(sK0,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X3,X4)
& surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X3,X4)
& surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> surjective(X1,X3,X4) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1,X10] :
( ( surjective(compose_function(X9,X5,X0,X1,X10),X0,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> surjective(X9,X1,X10) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X9,X0,X1,X10] :
( ( surjective(compose_function(X9,X5,X0,X1,X10),X0,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> surjective(X9,X1,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII13) ).
fof(f93,plain,
~ member(sK7(sK1,sK3,sK4),sK4),
inference(resolution,[],[f92,f88]) ).
fof(f88,plain,
! [X0] :
( member(sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),sK3)
| ~ member(X0,sK4) ),
inference(subsumption_resolution,[],[f87,f80]) ).
fof(f80,plain,
! [X0] :
( member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2)
| ~ member(X0,sK4) ),
inference(resolution,[],[f58,f67]) ).
fof(f67,plain,
! [X2,X0,X1,X5] :
( ~ surjective(X0,X1,X2)
| ~ member(X5,X2)
| member(sK8(X0,X1,X5),X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f58,plain,
surjective(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK4),
inference(cnf_transformation,[],[f44]) ).
fof(f87,plain,
! [X0] :
( ~ member(X0,sK4)
| member(sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),sK3)
| ~ member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2) ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ member(X0,sK4)
| member(sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),sK3)
| ~ member(X0,sK4)
| ~ member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2) ),
inference(resolution,[],[f81,f63]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK6(X0,X1,X3,X5,X6),X3)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
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) ) )
& ( ( apply(X0,sK6(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK6(X0,X1,X3,X5,X6))
& member(sK6(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,[sK6])],[f48,f49]) ).
fof(f49,plain,
! [X0,X1,X3,X5,X6] :
( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
=> ( apply(X0,sK6(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK6(X0,X1,X3,X5,X6))
& member(sK6(X0,X1,X3,X5,X6),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f48,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,[],[f47]) ).
fof(f47,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,[],[f41]) ).
fof(f41,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,[],[f40]) ).
fof(f40,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,[],[f33]) ).
fof(f33,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/benchmark/theBenchmark.p',compose_function) ).
fof(f81,plain,
! [X0] :
( apply(compose_function(sK1,sK0,sK2,sK3,sK4),sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0)
| ~ member(X0,sK4) ),
inference(resolution,[],[f58,f68]) ).
fof(f68,plain,
! [X2,X0,X1,X5] :
( ~ surjective(X0,X1,X2)
| ~ member(X5,X2)
| apply(X0,sK8(X0,X1,X5),X5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f92,plain,
~ member(sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK7(sK1,sK3,sK4)),sK7(sK1,sK3,sK4)),sK3),
inference(subsumption_resolution,[],[f91,f78]) ).
fof(f91,plain,
( ~ member(sK7(sK1,sK3,sK4),sK4)
| ~ member(sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK7(sK1,sK3,sK4)),sK7(sK1,sK3,sK4)),sK3) ),
inference(resolution,[],[f90,f79]) ).
fof(f79,plain,
! [X0] :
( ~ apply(sK1,X0,sK7(sK1,sK3,sK4))
| ~ member(X0,sK3) ),
inference(resolution,[],[f59,f70]) ).
fof(f70,plain,
! [X2,X0,X1,X4] :
( surjective(X0,X1,X2)
| ~ apply(X0,X4,sK7(X0,X1,X2))
| ~ member(X4,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f90,plain,
! [X0] :
( apply(sK1,sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),X0)
| ~ member(X0,sK4) ),
inference(subsumption_resolution,[],[f85,f80]) ).
fof(f85,plain,
! [X0] :
( ~ member(X0,sK4)
| apply(sK1,sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),X0)
| ~ member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2) ),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ~ member(X0,sK4)
| apply(sK1,sK6(sK1,sK0,sK3,sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),X0),X0)
| ~ member(X0,sK4)
| ~ member(sK8(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,X0),sK2) ),
inference(resolution,[],[f81,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK6(X0,X1,X3,X5,X6),X6)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET722+4 : TPTP v8.2.0. 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
% 0.13/0.36 % Computer : n005.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon May 20 11:52:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36 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/benchmark/theBenchmark.p
% 0.61/0.77 % (15396)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)
% 0.61/0.77 % (15395)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)
% 0.61/0.77 % (15394)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.61/0.77 % (15399)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)
% 0.61/0.77 % (15397)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.61/0.77 % (15398)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)
% 0.61/0.77 % (15393)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)
% 0.61/0.77 % (15392)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)
% 0.61/0.77 % (15397)Refutation not found, incomplete strategy% (15397)------------------------------
% 0.61/0.77 % (15397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (15397)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (15397)Memory used [KB]: 1062
% 0.61/0.77 % (15397)Time elapsed: 0.003 s
% 0.61/0.77 % (15397)Instructions burned: 3 (million)
% 0.61/0.77 % (15399)First to succeed.
% 0.61/0.77 % (15397)------------------------------
% 0.61/0.77 % (15397)------------------------------
% 0.61/0.77 % (15396)Refutation not found, incomplete strategy% (15396)------------------------------
% 0.61/0.77 % (15396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (15396)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (15396)Memory used [KB]: 1150
% 0.61/0.77 % (15396)Time elapsed: 0.003 s
% 0.61/0.77 % (15396)Instructions burned: 5 (million)
% 0.61/0.77 % (15396)------------------------------
% 0.61/0.77 % (15396)------------------------------
% 0.61/0.77 % (15399)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15391"
% 0.61/0.77 % (15395)Also succeeded, but the first one will report.
% 0.61/0.77 % (15399)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Theorem for theBenchmark
% 0.61/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.77 % (15399)------------------------------
% 0.61/0.77 % (15399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (15399)Termination reason: Refutation
% 0.61/0.77
% 0.61/0.77 % (15399)Memory used [KB]: 1091
% 0.61/0.77 % (15399)Time elapsed: 0.004 s
% 0.61/0.77 % (15399)Instructions burned: 6 (million)
% 0.61/0.77 % (15391)Success in time 0.399 s
% 0.61/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------