TSTP Solution File: DAT085_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT085_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 02:18:47 EDT 2024
% Result : Theorem 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 42 ( 14 unt; 16 typ; 0 def)
% Number of atoms : 38 ( 31 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 55 ( 6 atm; 9 fun; 16 num; 24 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?; 46 :)
% 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(func_def_15,type,
sK4: ( $int * list ) > $int ).
tff(func_def_16,type,
sK5: ( $int * list ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f545,plain,
$false,
inference(resolution,[],[f344,f24]) ).
tff(f24,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f344,plain,
! [X0: $int,X1: $int] : $less(X0,X1),
inference(forward_demodulation,[],[f277,f57]) ).
tff(f57,plain,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.9RPBj8u24v/Vampire---4.8_26391',l1) ).
tff(f277,plain,
! [X0: $int,X1: $int] : $less(X0,head(cons(X1,nil))),
inference(superposition,[],[f105,f244]) ).
tff(f244,plain,
! [X0: $int,X1: $int] : ( head(cons(X1,nil)) = X0 ),
inference(superposition,[],[f57,f236]) ).
tff(f236,plain,
! [X0: $int,X1: $int] : ( cons(X0,nil) = cons(X1,nil) ),
inference(evaluation,[],[f233]) ).
tff(f233,plain,
! [X0: $int,X1: $int] :
( ( 1 != $sum(1,0) )
| ( cons(X0,nil) = cons(X1,nil) ) ),
inference(superposition,[],[f229,f73]) ).
tff(f73,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
0 = length(nil),
file('/export/starexec/sandbox2/tmp/tmp.9RPBj8u24v/Vampire---4.8_26391',l) ).
tff(f229,plain,
! [X2: $int,X0: $int,X1: list] :
( ( 1 != $sum(1,length(X1)) )
| ( cons(X0,X1) = cons(X2,nil) ) ),
inference(superposition,[],[f227,f74]) ).
tff(f74,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3: $int,X4: list] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.9RPBj8u24v/Vampire---4.8_26391',l_1) ).
tff(f227,plain,
! [X0: list,X1: $int] :
( ( 1 != length(X0) )
| ( cons(X1,nil) = X0 ) ),
inference(evaluation,[],[f223]) ).
tff(f223,plain,
! [X0: list,X1: $int] :
( ( length(X0) != $sum(1,0) )
| ( cons(X1,nil) = X0 ) ),
inference(superposition,[],[f218,f73]) ).
tff(f218,plain,
! [X2: list,X0: $int,X1: list] :
( ( $sum(1,length(X1)) != length(X2) )
| ( cons(X0,X1) = X2 ) ),
inference(superposition,[],[f82,f74]) ).
tff(f82,plain,
! [X0: list,X1: list] :
( ( length(X1) != length(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: list,X1: list] :
( ( X0 = X1 )
| ( length(X1) != length(X0) ) ),
inference(ennf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: list,X1: list] :
( ( length(X1) = length(X0) )
=> ( X0 = X1 ) ),
inference(flattening,[],[f40]) ).
tff(f40,plain,
~ ~ ! [X0: list,X1: list] :
( ( length(X1) = length(X0) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ! [X7: list,X8: list] :
( ( length(X7) = length(X8) )
=> ( X7 = X8 ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ! [X7: list,X8: list] :
( ( length(X7) = length(X8) )
=> ( X7 = X8 ) ),
file('/export/starexec/sandbox2/tmp/tmp.9RPBj8u24v/Vampire---4.8_26391',c) ).
tff(f105,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f28,f24]) ).
tff(f28,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : DAT085_1 : TPTP v8.1.2. Released v6.1.0.
% 0.09/0.10 % 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
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 16:03:34 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 This is a TF0_THM_EQU_ARI problem
% 0.09/0.30 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.9RPBj8u24v/Vampire---4.8_26391
% 0.55/0.78 % (26505)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.55/0.78 % (26507)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 (2995ds/34Mi)
% 0.55/0.78 % (26506)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.55/0.78 % (26503)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 (2995ds/34Mi)
% 0.55/0.78 % (26508)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.55/0.78 % (26504)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 (2995ds/51Mi)
% 0.55/0.78 % (26509)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 (2995ds/83Mi)
% 0.55/0.78 % (26510)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 (2995ds/56Mi)
% 0.55/0.78 % (26506)Refutation not found, incomplete strategy% (26506)------------------------------
% 0.55/0.78 % (26506)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78 % (26506)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (26506)Memory used [KB]: 957
% 0.55/0.78 % (26506)Time elapsed: 0.003 s
% 0.55/0.78 % (26506)Instructions burned: 2 (million)
% 0.55/0.78 % (26506)------------------------------
% 0.55/0.78 % (26506)------------------------------
% 0.55/0.78 % (26503)Refutation not found, incomplete strategy% (26503)------------------------------
% 0.55/0.78 % (26503)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78 % (26503)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (26503)Memory used [KB]: 972
% 0.55/0.78 % (26503)Time elapsed: 0.003 s
% 0.55/0.78 % (26503)Instructions burned: 3 (million)
% 0.55/0.78 % (26503)------------------------------
% 0.55/0.78 % (26503)------------------------------
% 0.55/0.78 % (26510)Refutation not found, incomplete strategy% (26510)------------------------------
% 0.55/0.78 % (26510)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78 % (26510)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (26510)Memory used [KB]: 960
% 0.55/0.78 % (26510)Time elapsed: 0.003 s
% 0.55/0.78 % (26510)Instructions burned: 3 (million)
% 0.55/0.78 % (26510)------------------------------
% 0.55/0.78 % (26510)------------------------------
% 0.55/0.78 % (26511)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 (2995ds/55Mi)
% 0.55/0.78 % (26513)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 (2995ds/208Mi)
% 0.55/0.78 % (26512)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 (2995ds/50Mi)
% 0.55/0.78 % (26512)Refutation not found, incomplete strategy% (26512)------------------------------
% 0.55/0.78 % (26512)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.78 % (26512)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (26512)Memory used [KB]: 1034
% 0.55/0.78 % (26512)Time elapsed: 0.003 s
% 0.55/0.78 % (26512)Instructions burned: 4 (million)
% 0.55/0.78 % (26512)------------------------------
% 0.55/0.78 % (26512)------------------------------
% 0.55/0.78 % (26504)First to succeed.
% 0.62/0.79 % (26504)Refutation found. Thanks to Tanya!
% 0.62/0.79 % SZS status Theorem for Vampire---4
% 0.62/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79 % (26504)------------------------------
% 0.62/0.79 % (26504)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (26504)Termination reason: Refutation
% 0.62/0.79
% 0.62/0.79 % (26504)Memory used [KB]: 1109
% 0.62/0.79 % (26504)Time elapsed: 0.011 s
% 0.62/0.79 % (26504)Instructions burned: 17 (million)
% 0.62/0.79 % (26504)------------------------------
% 0.62/0.79 % (26504)------------------------------
% 0.62/0.79 % (26499)Success in time 0.478 s
% 0.62/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------