TSTP Solution File: ARI611_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI611_1 : TPTP v8.1.2. Released v5.1.0.
% 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 : n011.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 04:34:13 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 3 unt; 2 typ; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 134 ( 47 ~; 36 |; 38 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 164 ( 61 atm; 5 fun; 65 num; 33 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 0 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 30 !; 3 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $int > $o ).
tff(pred_def_2,type,
q: $int > $o ).
tff(f146,plain,
$false,
inference(evaluation,[],[f141]) ).
tff(f141,plain,
( ~ $less($sum(8,1),18)
| ~ $less($sum(8,1),15)
| ~ $less(5,$sum(8,1)) ),
inference(resolution,[],[f43,f42]) ).
tff(f42,plain,
! [X0: $int] :
( ~ $less(8,X0)
| ~ $less(X0,18)
| ~ $less(X0,15)
| ~ $less(5,X0) ),
inference(resolution,[],[f28,f21]) ).
tff(f21,plain,
! [X2: $int] :
( p(X2)
| ~ $less(X2,15)
| ~ $less(5,X2) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ! [X0: $int] :
( ~ q(X0)
| ~ p(X0) )
& ! [X1: $int] :
( ( ( $less(X1,18)
& $less(8,X1) )
| ~ q(X1) )
& ( q(X1)
| ~ $less(X1,18)
| ~ $less(8,X1) ) )
& ! [X2: $int] :
( ( ( $less(X2,15)
& $less(5,X2) )
| ~ p(X2) )
& ( p(X2)
| ~ $less(X2,15)
| ~ $less(5,X2) ) ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
( ! [X2: $int] :
( ~ q(X2)
| ~ p(X2) )
& ! [X0: $int] :
( ( ( $less(X0,18)
& $less(8,X0) )
| ~ q(X0) )
& ( q(X0)
| ~ $less(X0,18)
| ~ $less(8,X0) ) )
& ! [X1: $int] :
( ( ( $less(X1,15)
& $less(5,X1) )
| ~ p(X1) )
& ( p(X1)
| ~ $less(X1,15)
| ~ $less(5,X1) ) ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
( ! [X2: $int] :
( ~ q(X2)
| ~ p(X2) )
& ! [X0: $int] :
( ( ( $less(X0,18)
& $less(8,X0) )
| ~ q(X0) )
& ( q(X0)
| ~ $less(X0,18)
| ~ $less(8,X0) ) )
& ! [X1: $int] :
( ( ( $less(X1,15)
& $less(5,X1) )
| ~ p(X1) )
& ( p(X1)
| ~ $less(X1,15)
| ~ $less(5,X1) ) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f17,plain,
( ! [X2: $int] :
( ~ q(X2)
| ~ p(X2) )
& ! [X0: $int] :
( ( $less(X0,18)
& $less(8,X0) )
<=> q(X0) )
& ! [X1: $int] :
( ( $less(X1,15)
& $less(5,X1) )
<=> p(X1) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ! [X2: $int] :
( ~ q(X2)
| ~ p(X2) )
& ! [X0: $int] :
( ( $less(X0,18)
& $less(8,X0) )
<=> q(X0) )
& ! [X1: $int] :
( ( $less(X1,15)
& $less(5,X1) )
<=> p(X1) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ( ( ! [X0: $int] :
( ( $less(X0,18)
& $less(8,X0) )
<=> q(X0) )
& ! [X1: $int] :
( ( $less(X1,15)
& $less(5,X1) )
<=> p(X1) ) )
=> ? [X2: $int] :
( q(X2)
& p(X2) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( ( $less(X0,18)
& $less(8,X0) )
<=> q(X0) )
& ! [X0: $int] :
( ( $less(X0,15)
& $less(5,X0) )
<=> p(X0) ) )
=> ? [X0: $int] :
( q(X0)
& p(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X0: $int] :
( ( $less(X0,18)
& $less(8,X0) )
<=> q(X0) )
& ! [X0: $int] :
( ( $less(X0,15)
& $less(5,X0) )
<=> p(X0) ) )
=> ? [X0: $int] :
( q(X0)
& p(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.a25kOwBOwt/Vampire---4.8_16724',interv_5_15_and_8_18_intersect) ).
tff(f28,plain,
! [X0: $int] :
( ~ p(X0)
| ~ $less(8,X0)
| ~ $less(X0,18) ),
inference(resolution,[],[f24,f27]) ).
tff(f27,plain,
! [X0: $int] :
( ~ q(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f20]) ).
tff(f24,plain,
! [X1: $int] :
( q(X1)
| ~ $less(X1,18)
| ~ $less(8,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f43,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ARI611_1 : TPTP v8.1.2. Released v5.1.0.
% 0.08/0.15 % 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 : n011.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 21:44:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TF0_THM_NEQ_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.a25kOwBOwt/Vampire---4.8_16724
% 0.60/0.76 % (16989)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)
% 0.60/0.76 % (16982)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)
% 0.60/0.76 % (16984)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (16985)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)
% 0.60/0.76 % (16983)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)
% 0.60/0.76 % (16986)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)
% 0.60/0.76 % (16987)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)
% 0.60/0.76 % (16985)Refutation not found, incomplete strategy% (16985)------------------------------
% 0.60/0.76 % (16985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16985)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16985)Memory used [KB]: 966
% 0.60/0.76 % (16985)Time elapsed: 0.003 s
% 0.60/0.76 % (16985)Instructions burned: 3 (million)
% 0.60/0.76 % (16988)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)
% 0.60/0.76 % (16985)------------------------------
% 0.60/0.76 % (16985)------------------------------
% 0.60/0.76 % (16984)First to succeed.
% 0.60/0.76 % (16990)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)
% 0.60/0.76 % (16984)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16978"
% 0.60/0.77 % (16984)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (16984)------------------------------
% 0.60/0.77 % (16984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (16984)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (16984)Memory used [KB]: 1065
% 0.60/0.77 % (16984)Time elapsed: 0.008 s
% 0.60/0.77 % (16984)Instructions burned: 10 (million)
% 0.60/0.77 % (16978)Success in time 0.388 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------