TSTP Solution File: DAT097_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT097_1 : TPTP v8.1.2. Released v6.1.0.
% 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 : n022.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 05:04:34 EDT 2024
% Result : Theorem 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 23
% Syntax : Number of formulae : 62 ( 19 unt; 15 typ; 0 def)
% Number of atoms : 97 ( 57 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 72 ( 22 ~; 27 |; 12 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 149 ( 6 atm; 28 fun; 41 num; 74 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 13 >; 12 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 141 ( 133 !; 8 ?; 141 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_11,type,
sK0: ( $int * list ) > $int ).
tff(func_def_12,type,
sK1: ( $int * list ) > list ).
tff(func_def_13,type,
sK2: ( $int * list ) > $int ).
tff(func_def_14,type,
sK3: ( $int * list ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(pred_def_6,type,
sP4: ( list * $int * list * $int ) > $o ).
tff(f108,plain,
$false,
inference(evaluation,[],[f107]) ).
tff(f107,plain,
1 = $sum(2,0),
inference(forward_demodulation,[],[f106,f55]) ).
tff(f55,plain,
! [X0: $int] : ( 0 = count(X0,nil) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: $int] : ( 0 = count(X0,nil) ),
file('/export/starexec/sandbox/tmp/tmp.5mtB67Ap6O/Vampire---4.8_8286',a) ).
tff(f106,plain,
! [X0: $int] : ( 1 = $sum(2,count(X0,nil)) ),
inference(evaluation,[],[f101]) ).
tff(f101,plain,
! [X0: $int] : ( 1 = $sum(1,$sum(count(X0,nil),1)) ),
inference(superposition,[],[f99,f63]) ).
tff(f63,plain,
! [X2: list,X1: $int] : ( count(X1,cons(X1,X2)) = $sum(count(X1,X2),1) ),
inference(equality_resolution,[],[f53]) ).
tff(f53,plain,
! [X2: list,X0: $int,X1: $int] :
( ( X0 != X1 )
| ( count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: $int,X1: $int,X2: list] :
( ( count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) )
| ( X0 != X1 ) ),
inference(ennf_transformation,[],[f35]) ).
tff(f35,plain,
! [X0: $int,X1: $int,X2: list] :
( ( X0 = X1 )
=> ( count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X0: $int,X3: $int,X4: list,X5: $int] :
( ( X0 = X3 )
=> ( count(X0,cons(X3,X4)) = $sum(count(X0,X4),1) ) ),
file('/export/starexec/sandbox/tmp/tmp.5mtB67Ap6O/Vampire---4.8_8286',a_4) ).
tff(f99,plain,
! [X0: $int,X1: $int] : ( 1 = $sum(1,count(X1,cons(X0,nil))) ),
inference(evaluation,[],[f98]) ).
tff(f98,plain,
! [X0: $int,X1: $int] : ( $sum(1,count(X1,cons(X0,nil))) = $sum(1,0) ),
inference(forward_demodulation,[],[f94,f55]) ).
tff(f94,plain,
! [X0: $int,X1: $int] : ( $sum(1,count(X1,nil)) = $sum(1,count(X1,cons(X0,nil))) ),
inference(superposition,[],[f79,f57]) ).
tff(f57,plain,
! [X0: list] : ( append(nil,X0) = X0 ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: list] : ( append(nil,X0) = X0 ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X1: list] : ( append(nil,X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.5mtB67Ap6O/Vampire---4.8_8286',l_6) ).
tff(f79,plain,
! [X2: list,X0: $int,X1: $int] : ( $sum(1,count(X1,append(X2,cons(X0,nil)))) = $sum(1,count(X1,X2)) ),
inference(evaluation,[],[f78]) ).
tff(f78,plain,
! [X2: list,X0: $int,X1: $int] :
( $less(0,0)
| ( $sum(1,count(X1,append(X2,cons(X0,nil)))) = $sum(1,count(X1,X2)) ) ),
inference(superposition,[],[f72,f55]) ).
tff(f72,plain,
! [X2: $int,X3: list,X0: $int,X1: list] :
( $less(0,count(X2,X3))
| ( $sum(1,count(X0,append(X1,cons(X2,X3)))) = $sum(1,count(X0,X1)) ) ),
inference(resolution,[],[f70,f45]) ).
tff(f45,plain,
! [X0: $int,X1: list] :
( ~ in(X0,X1)
| $less(0,count(X0,X1)) ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: $int,X1: list] :
( in(X0,X1)
<=> $less(0,count(X0,X1)) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X5: $int,X1: list] :
( in(X5,X1)
<=> $less(0,count(X5,X1)) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,axiom,
! [X5: $int,X1: list] :
( in(X5,X1)
<=> $greater(count(X5,X1),0) ),
file('/export/starexec/sandbox/tmp/tmp.5mtB67Ap6O/Vampire---4.8_8286',a_8) ).
tff(f70,plain,
! [X2: $int,X3: list,X0: $int,X1: list] :
( in(X0,X1)
| ( $sum(1,count(X2,append(X3,cons(X0,X1)))) = $sum(1,count(X2,X3)) ) ),
inference(forward_demodulation,[],[f69,f19]) ).
tff(f19,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f69,plain,
! [X2: $int,X3: list,X0: $int,X1: list] :
( ( $sum(1,count(X2,append(X3,cons(X0,X1)))) = $sum(count(X2,X3),1) )
| in(X0,X1) ),
inference(forward_demodulation,[],[f68,f63]) ).
tff(f68,plain,
! [X2: $int,X3: list,X0: $int,X1: list] :
( ( count(X2,cons(X2,X3)) = $sum(1,count(X2,append(X3,cons(X0,X1)))) )
| in(X0,X1) ),
inference(forward_demodulation,[],[f67,f19]) ).
tff(f67,plain,
! [X2: $int,X3: list,X0: $int,X1: list] :
( ( count(X2,cons(X2,X3)) = $sum(count(X2,append(X3,cons(X0,X1))),1) )
| in(X0,X1) ),
inference(forward_demodulation,[],[f66,f63]) ).
tff(f66,plain,
! [X2: $int,X3: list,X0: $int,X1: list] :
( ( count(X2,cons(X2,X3)) = count(X2,cons(X2,append(X3,cons(X0,X1)))) )
| in(X0,X1) ),
inference(forward_demodulation,[],[f65,f56]) ).
tff(f56,plain,
! [X2: list,X0: $int,X1: list] : ( append(cons(X0,X1),X2) = cons(X0,append(X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: $int,X1: list,X2: list] : ( append(cons(X0,X1),X2) = cons(X0,append(X1,X2)) ),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X6: $int,X0: list,X1: list] : ( append(cons(X6,X0),X1) = cons(X6,append(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.5mtB67Ap6O/Vampire---4.8_8286',l_7) ).
tff(f65,plain,
! [X2: $int,X3: list,X0: $int,X1: list] :
( in(X0,X1)
| ( count(X2,cons(X2,X3)) = count(X2,append(cons(X2,X3),cons(X0,X1))) ) ),
inference(resolution,[],[f59,f61]) ).
tff(f61,plain,
! [X4: $int,X5: list] : in(X4,cons(X4,X5)),
inference(equality_resolution,[],[f60]) ).
tff(f60,plain,
! [X0: $int,X4: $int,X5: list] :
( ( X0 != X4 )
| in(X0,cons(X4,X5)) ),
inference(equality_resolution,[],[f49]) ).
tff(f49,plain,
! [X0: $int,X1: list,X4: $int,X5: list] :
( ( cons(X4,X5) != X1 )
| ( X0 != X4 )
| in(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: list] :
( in(X0,X1)
<=> ( ? [X2: $int,X3: list] :
( in(X0,X3)
& ( cons(X2,X3) = X1 ) )
| ? [X4: $int,X5: list] :
( ( X0 = X4 )
& ( cons(X4,X5) = X1 ) ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X2: $int,X1: list] :
( in(X2,X1)
<=> ( ? [X3: $int,X4: list] :
( in(X2,X4)
& ( cons(X3,X4) = X1 ) )
| ? [X3: $int,X4: list] :
( ( X2 = X3 )
& ( cons(X3,X4) = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.5mtB67Ap6O/Vampire---4.8_8286',in_conv) ).
tff(f59,plain,
! [X2: list,X3: list,X0: $int,X1: $int] :
( ~ in(X1,X3)
| in(X0,X2)
| ( count(X1,X3) = count(X1,append(X3,cons(X0,X2))) ) ),
inference(equality_resolution,[],[f43]) ).
tff(f43,plain,
! [X2: list,X3: list,X0: $int,X1: $int,X4: list] :
( ~ in(X1,X3)
| in(X0,X2)
| ( append(X3,cons(X0,X2)) != X4 )
| ( count(X1,X3) = count(X1,X4) ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
! [X0: $int,X1: $int,X2: list,X3: list,X4: list] :
( ( count(X1,X3) = count(X1,X4) )
| ( append(X3,cons(X0,X2)) != X4 )
| in(X0,X2)
| ~ in(X1,X3) ),
inference(flattening,[],[f39]) ).
tff(f39,plain,
! [X0: $int,X1: $int,X2: list,X3: list,X4: list] :
( ( count(X1,X3) = count(X1,X4) )
| ( append(X3,cons(X0,X2)) != X4 )
| in(X0,X2)
| ~ in(X1,X3) ),
inference(ennf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: $int,X2: list,X3: list,X4: list] :
( ( ( append(X3,cons(X0,X2)) = X4 )
& ~ in(X0,X2)
& in(X1,X3) )
=> ( count(X1,X3) = count(X1,X4) ) ),
inference(flattening,[],[f31]) ).
tff(f31,plain,
~ ~ ! [X0: $int,X1: $int,X2: list,X3: list,X4: list] :
( ( ( append(X3,cons(X0,X2)) = X4 )
& ~ in(X0,X2)
& in(X1,X3) )
=> ( count(X1,X3) = count(X1,X4) ) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ! [X7: $int,X5: $int,X0: list,X1: list,X8: list] :
( ( ( append(X1,cons(X7,X0)) = X8 )
& ~ in(X7,X0)
& in(X5,X1) )
=> ( count(X5,X1) = count(X5,X8) ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ! [X7: $int,X5: $int,X0: list,X1: list,X8: list] :
( ( ( append(X1,cons(X7,X0)) = X8 )
& ~ in(X7,X0)
& in(X5,X1) )
=> ( count(X5,X1) = count(X5,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.5mtB67Ap6O/Vampire---4.8_8286',c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : DAT097_1 : TPTP v8.1.2. Released v6.1.0.
% 0.13/0.15 % 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 : n022.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 : Fri May 3 12:54:42 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_EQU_ARI 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.5mtB67Ap6O/Vampire---4.8_8286
% 0.59/0.74 % (8556)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)
% 0.59/0.74 % (8558)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74 % (8559)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)
% 0.59/0.74 % (8557)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)
% 0.59/0.74 % (8560)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)
% 0.59/0.74 % (8561)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)
% 0.59/0.74 % (8563)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)
% 0.59/0.74 % (8562)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)
% 0.59/0.75 % (8556)Refutation not found, incomplete strategy% (8556)------------------------------
% 0.59/0.75 % (8556)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (8556)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (8556)Memory used [KB]: 1063
% 0.59/0.75 % (8556)Time elapsed: 0.003 s
% 0.59/0.75 % (8556)Instructions burned: 5 (million)
% 0.59/0.75 % (8563)Refutation not found, incomplete strategy% (8563)------------------------------
% 0.59/0.75 % (8563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (8563)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (8563)Memory used [KB]: 1028
% 0.59/0.75 % (8563)Time elapsed: 0.004 s
% 0.59/0.75 % (8556)------------------------------
% 0.59/0.75 % (8556)------------------------------
% 0.59/0.75 % (8563)Instructions burned: 3 (million)
% 0.59/0.75 % (8563)------------------------------
% 0.59/0.75 % (8563)------------------------------
% 0.59/0.75 % (8560)Refutation not found, incomplete strategy% (8560)------------------------------
% 0.59/0.75 % (8560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (8560)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (8560)Memory used [KB]: 1051
% 0.59/0.75 % (8560)Time elapsed: 0.004 s
% 0.59/0.75 % (8560)Instructions burned: 4 (million)
% 0.59/0.75 % (8560)------------------------------
% 0.59/0.75 % (8560)------------------------------
% 0.59/0.75 % (8564)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)
% 0.59/0.75 % (8562)First to succeed.
% 0.59/0.75 % (8562)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8542"
% 0.59/0.75 % (8566)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)
% 0.59/0.75 % (8562)Refutation found. Thanks to Tanya!
% 0.59/0.75 % SZS status Theorem for Vampire---4
% 0.59/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75 % (8562)------------------------------
% 0.59/0.75 % (8562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (8562)Termination reason: Refutation
% 0.59/0.75
% 0.59/0.75 % (8562)Memory used [KB]: 1066
% 0.59/0.75 % (8562)Time elapsed: 0.007 s
% 0.59/0.75 % (8562)Instructions burned: 9 (million)
% 0.59/0.75 % (8542)Success in time 0.379 s
% 0.59/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------